Co-reporter:Seung Yoon Ryu, Jianliang Xiao, Won Il Park, Kwang Soo Son, Yonggang Y. Huang, Ungyu Paik and John A. Rogers
Nano Letters September 9, 2009 Volume 9(Issue 9) pp:3214-3219
Publication Date(Web):August 11, 2009
DOI:10.1021/nl901450q
We describe experimental and theoretical studies of the buckling mechanics in silicon nanowires (SiNWs) on elastomeric substrates. The system involves randomly oriented SiNWs grown using established procedures on silicon wafers, and then transferred and organized into aligned arrays on prestrained slabs of poly(dimethylsiloxane) (PDMS). Releasing the prestrain leads to nonlinear mechanical buckling processes that transform the initially linear SiNWs into sinusoidal (i.e., “wavy”) shapes. The displacements associated with these waves lie in the plane of the substrate, unlike previously observed behavior in analogous systems of silicon nanoribbons and carbon nanotubes where motion occurs out-of-plane. Theoretical analysis indicates that the energy associated with this in-plane buckling is slightly lower than the out-of-plane case for the geometries and mechanical properties that characterize the SiNWs. An accurate measurement of the Young’s modulus of individual SiNWs, between ∼170 and ∼110 GPa for the range of wires examined here, emerges from comparison of theoretical analysis to experimental observations. A simple strain gauge built using SiNWs in these wavy geometries demonstrates one area of potential application.
Co-reporter:Xiufeng Wang, Yinji Ma, Yeguang Xue, Haiwen Luan, Matt Pharr, Xue Feng, John A. Rogers, Yonggang Huang
International Journal of Solids and Structures 2017 Volume 117(Volume 117) pp:
Publication Date(Web):15 June 2017
DOI:10.1016/j.ijsolstr.2017.03.031
Liquid that resides in a soft elastomer embedded between wearable electronics and biological tissue provides a strain-isolation effect, which enhances the wearability of the electronics. One potential drawback of this design is vulnerability to structural instability, e.g., roof collapse may lead to partial closure of the liquid-filled cavities. This issue is addressed here by overfilling liquid in the cavities to prevent roof collapse. Axisymmetric models of the roof collapse are developed to establish the scaling laws for liquid-overfilled cavities, as well as for air- and liquid-filled ones. It is established that the liquid-overfilled cavities are most effective to prevent roof collapse as compared to air- and liquid-filled ones.
Co-reporter:
Advanced Functional Materials 2017 Volume 27(Issue 4) pp:
Publication Date(Web):2017/01/01
DOI:10.1002/adfm.201604545
Many recently developed soft, skin-like electronics with high performance circuits and low modulus encapsulation materials can accommodate large bending, stretching, and twisting deformations. Their compliant mechanics also allows for intimate, nonintrusive integration to the curvilinear surfaces of soft biological tissues. By introducing a stacked circuit construct, the functional density of these systems can be greatly improved, yet their desirable mechanics may be compromised due to the increased overall thickness. To address this issue, the results presented here establish design guidelines for optimizing the deformable properties of stretchable electronics with stacked circuit layers. The effects of three contributing factors (i.e., the silicone interlayer, the composite encapsulation, and the deformable interconnects) on the stretchability of a multilayer system are explored in detail via combined experimental observation, finite element modeling, and theoretical analysis. Finally, an electronic module with optimized design is demonstrated. This highly deformable system can be repetitively folded, twisted, or stretched without observable influences to its electrical functionality. The ultrasoft, thin nature of the module makes it suitable for conformal biointegration.
Co-reporter:Limei Tian;Yuhang Li;Richard Chad Webb;Siddharth Krishnan;Zuguang Bian;Jizhou Song;Xin Ning;Kaitlyn Crawford;Jonas Kurniawan;Andrew Bonifas;Jun Ma;Yuhao Liu;Xu Xie;Jin Chen;Yuting Liu;Zhan Shi;Tianqi Wu;Rui Ning;Daizhen Li;Sanjiv Sinha;David G. Cahill;John A. Rogers
Advanced Functional Materials 2017 Volume 27(Issue 26) pp:
Publication Date(Web):2017/07/01
DOI:10.1002/adfm.201701282
Characterization of the thermal properties of the surface and subsurface structures of the skin can reveal the degree of hydration, the rate of blood flow in near-surface micro- and macrovasculature, and other important physiological information of relevance to dermatological and overall health status. Here, a soft, stretchable thermal sensor, based on the so-called three omega (i.e., 3ω) method, is introduced for accurate characterization of the thermal conductivity and diffusivity of materials systems, such as the skin, which can be challenging to measure using established techniques. Experiments on skin at different body locations and under different physical states demonstrate the possibilities. Systematic studies establish the underlying principles of operation in these unusual systems, thereby allowing rational design and use, through combined investigations based on analytical modeling, experimental measurements, and finite element analysis. The findings create broad opportunities for 3ω methods in biology, with utility ranging from the integration with surgical tools or implantable devices to noninvasive uses in clinical diagnostics and therapeutics.
Co-reporter:Yinji Ma;Kyung-In Jang;Liang Wang;Han Na Jung;Jean Won Kwak;Yeguang Xue;Hang Chen;Yiyuan Yang;Dawei Shi;Xue Feng;John A. Rogers
Advanced Functional Materials 2016 Volume 26( Issue 29) pp:5345-5351
Publication Date(Web):
DOI:10.1002/adfm.201600713
Recently developed classes of electronics for biomedical applications exploit substrates that offer low elastic modulus and high stretchability, to allow intimate, mechanically biocompatible integration with soft biological tissues. A challenge is that such substrates do not generally offer protection of the electronics from high peak strains that can occur upon large-scale deformation, thereby creating a potential for device failure. The results presented here establish a simple route to compliant substrates with strain-limiting mechanics based on approaches that complement those of recently described alternatives. Here, a thin film or mesh of a high modulus material transferred onto a prestrained compliant substrate transforms into wrinkled geometry upon release of the prestrain. The structure formed by this process offers a low elastic modulus at small strain due to the small effective stiffness of the wrinkled film or mesh; it has a high tangent modulus (e.g., >1000 times the elastic modulus) at large strain, as the wrinkles disappear and the film/mesh returns to a flat geometry. This bilinear stress–strain behavior has an extremely sharp transition point, defined by the magnitude of the prestrain. A theoretical model yields analytical expressions for the elastic and tangent moduli and the transition strain of the bilinear stress–strain relation, with quantitative correspondence to finite element analysis and experiments.
Co-reporter:Jung Woo Lee;Kyung-In Jang;Yichen Yang;Seungmin Lee;Renxiao Xu;Jeonghyun Kim;Ki Jun Yu;Anthony Banks;Sheng Xu;Siyi Ma;Phillip Won;Sung Woo Jang;Bong Hoon Kim;Yuhang Li;Ungyu Paik;Yong Ho Kwon;Soojeong Huh;Jo Young Choe;John A. Rogers
PNAS 2016 Volume 113 (Issue 22 ) pp:6131-6136
Publication Date(Web):2016-05-31
DOI:10.1073/pnas.1605720113
Power supply represents a critical challenge in the development of body-integrated electronic technologies. Although recent
research establishes an impressive variety of options in energy storage (batteries and supercapacitors) and generation (triboelectric,
piezoelectric, thermoelectric, and photovoltaic devices), the modest electrical performance and/or the absence of soft, biocompatible
mechanical properties limit their practical use. The results presented here form the basis of soft, skin-compatible means
for efficient photovoltaic generation and high-capacity storage of electrical power using dual-junction, compound semiconductor
solar cells and chip-scale, rechargeable lithium-ion batteries, respectively. Miniaturized components, deformable interconnects,
optimized array layouts, and dual-composition elastomer substrates, superstrates, and encapsulation layers represent key features.
Systematic studies of the materials and mechanics identify optimized designs, including unusual configurations that exploit
a folded, multilayer construct to improve the functional density without adversely affecting the soft, stretchable characteristics.
System-level examples exploit such technologies in fully wireless sensors for precision skin thermography, with capabilities
in continuous data logging and local processing, validated through demonstrations on volunteer subjects in various realistic
scenarios.
Co-reporter:Yuhao Liu;James J. S. Norton;Raza Qazi;Zhanan Zou;Kaitlyn R. Ammann;Hank Liu;Lingqing Yan;Phat L. Tran;Kyung-In Jang;Jung Woo Lee;Douglas Zhang;Kristopher A. Kilian;Sung Hee Jung;Timothy Bretl;Jianliang Xiao;Marvin J. Slepian;Jae-Woong Jeong;John A. Rogers
Science Advances 2016 Vol 2(11) pp:e1601185
Publication Date(Web):16 Nov 2016
DOI:10.1126/sciadv.1601185
Researchers report advances in materials and designs for skin-integrated devices capable of measuring acoustic signatures.
Co-reporter:Zheng Yan;Fan Zhang;Fei Liu;Dapeng Ou;Mengdi Han;Qing Lin;Haoran Fu;Yuhao Liu;Zhaoqian Xie;Xuelin Guo;Mingye Gao;JungHwan Kim;Yuming Huang;Kewang Nan;Philipp Gutruf;An Zhao;Keh-Chih Hwang;Hongying Luo;John A. Rogers;Yitao Qiu;Jeonghyun Kim;Yihui Zhang
Science Advances 2016 Volume 2(Issue 9) pp:e1601014
Publication Date(Web):23 Sep 2016
DOI:10.1126/sciadv.1601014
Buckling-driven assembly of 3D mesostructures from releasable multilayers offers versatile design options for unique applications.
Co-reporter:Chi Hwan Lee;Yinji Ma;Kyung-In Jang;Anthony Banks;Taisong Pan;Xue Feng;Jae Soon Kim;Daeshik Kang;Milan S. Raj;Bryan L. McGrane;Briana Morey;Xianyan Wang;Roozbeh Ghaffari;John A. Rogers
Advanced Functional Materials 2015 Volume 25( Issue 24) pp:3698-3704
Publication Date(Web):
DOI:10.1002/adfm.201501086
This paper presents materials and core/shell architectures that provide optimized mechanical properties in packages for stretchable electronic systems. Detailed experimental and theoretical studies quantitatively connect the geometries and elastic properties of the constituent materials to the overall mechanical responses of the integrated systems, with a focus on interfacial stresses, effective modulus, and maximum extent of elongation. Specific results include core/shell designs that lead to peak values of the shear and normal stresses on the skin that remain less than 10 kPa even for applied strains of up to 20%, thereby inducing minimal somatosensory perception of the device on the human skin. Additional, strain-limiting mesh structures embedded in the shell improve mechanical robustness by protecting the active components from strains that would otherwise exceed the fracture point. Demonstrations in precommercial stretchable electronic systems illustrate the utility of these concepts.
Co-reporter:Adina Badea;Zheng Yan;Sheng Xu;Jeonghyun Kim;Zijun Wei;Kyung-In Jang;Wen Huang;Haoran Fu;Matthew Flavin;Renhan Wang;Joselle McCracken;Dongqing Xiao;Yuhao Liu;Guoyan Zhou;Jungwoo Lee;Ha Uk Chung;Huanyu Cheng;Wen Ren;Anthony Banks;Xiuling Li;Ungyu Paik;Ralph G. Nuzzo;Yihui Zhang;John A. Rogers
Science 2015 Volume 347(Issue 6218) pp:154-159
Publication Date(Web):09 Jan 2015
DOI:10.1126/science.1260960
Popping materials and devices from 2D into 3D
Curved, thin, flexible complex three-dimensional (3D) structures can be very hard to manufacture at small length scales. Xu et al. develop an ingenious design strategy for the microfabrication of complex geometric 3D mesostructures that derive from the out-of-plane buckling of an originally planar structural layout (see the Perspective by Ye and Tsukruk). Finite element analysis of the mechanics makes it possible to design the two 2D patterns, which is then attached to a previously strained substrate at a number of points. Relaxing of the substrate causes the patterned material to bend and buckle, leading to its 3D shape.
Science, this issue p. 154; see also p. 130
Co-reporter:Li Gao, Yihui Zhang, Hui Zhang, Sage Doshay, Xu Xie, Hongying Luo, Deesha Shah, Yan Shi, Siyi Xu, Hui Fang, Jonathan A. Fan, Peter Nordlander, Yonggang Huang, and John A. Rogers
ACS Nano 2015 Volume 9(Issue 6) pp:5968
Publication Date(Web):April 23, 2015
DOI:10.1021/acsnano.5b00716
Large-scale, dense arrays of plasmonic nanodisks on low-modulus, high-elongation elastomeric substrates represent a class of tunable optical systems, with reversible ability to shift key optical resonances over a range of nearly 600 nm at near-infrared wavelengths. At the most extreme levels of mechanical deformation (strains >100%), nonlinear buckling processes transform initially planar arrays into three-dimensional configurations, in which the nanodisks rotate out of the plane to form linear arrays with “wavy” geometries. Analytical, finite-element, and finite-difference time-domain models capture not only the physics of these buckling processes, including all of the observed modes, but also the quantitative effects of these deformations on the plasmonic responses. The results have relevance to mechanically tunable optical systems, particularly to soft optical sensors that integrate on or in the human body.Keywords: large-area nanodisk array; nanoscale buckling; stretchable plasmonics; wide-band tunability;
Co-reporter:Yihui Zhang;Zheng Yan;Kewang Nan;Dongqing Xiao;Yuhao Liu;Haiwen Luan;Haoran Fu;Xizhu Wang;Qinglin Yang;Jiechen Wang;Wen Ren;Hongzhi Si;Fei Liu;Lihen Yang;Hejun Li;Juntong Wang;Xuelin Guo;Hongying Luo;Liang Wang;John A. Rogers
PNAS 2015 112 (38 ) pp:11757-11764
Publication Date(Web):2015-09-22
DOI:10.1073/pnas.1515602112
Assembly of 3D micro/nanostructures in advanced functional materials has important implications across broad areas of technology.
Existing approaches are compatible, however, only with narrow classes of materials and/or 3D geometries. This paper introduces
ideas for a form of Kirigami that allows precise, mechanically driven assembly of 3D mesostructures of diverse materials from
2D micro/nanomembranes with strategically designed geometries and patterns of cuts. Theoretical and experimental studies demonstrate
applicability of the methods across length scales from macro to nano, in materials ranging from monocrystalline silicon to
plastic, with levels of topographical complexity that significantly exceed those that can be achieved using other approaches.
A broad set of examples includes 3D silicon mesostructures and hybrid nanomembrane–nanoribbon systems, including heterogeneous
combinations with polymers and metals, with critical dimensions that range from 100 nm to 30 mm. A 3D mechanically tunable
optical transmission window provides an application example of this Kirigami process, enabled by theoretically guided design.
Co-reporter:Yihui Zhang;Shuodao Wang;Xuetong Li;Jonathan A. Fan;Sheng Xu;Young Min Song;Ki-Joong Choi;Woon-Hong Yeo;Woosik Lee;Sharaf Nafees Nazaar;Bingwei Lu;Lan Yin;Keh-Chih Hwang;John A. Rogers
Advanced Functional Materials 2014 Volume 24( Issue 14) pp:2028-2037
Publication Date(Web):
DOI:10.1002/adfm.201302957
Stretchable electronic devices that exploit inorganic materials are attractive due to their combination of high performance with mechanical deformability, particularly for applications in biomedical devices that require intimate integration with human body. Several mechanics and materials schemes have been devised for this type of technology, many of which exploit deformable interconnects. When such interconnects are fully bonded to the substrate and/or encapsulated in a solid material, useful but modest levels of deformation (<30–40%) are possible, with reversible and repeatable mechanics. Here, the use of prestrain in the substrate is introduced, together with interconnects in narrow, serpentine shapes, to yield significantly enhanced (more than two times) stretchability, to more than 100%. Fracture and cyclic fatigue testing on structures formed with and without prestrain quantitatively demonstrate the possible enhancements. Finite element analyses (FEA) illustrates the effects of various material and geometric parameters. A drastic decrease in the elastic stretchability is observed with increasing metal thickness, due to changes in the buckling mode, that is, from local wrinkling at small thicknesses to absence of such wrinkling at large thicknesses, as revealed by experiment. An analytic model quantitatively predicts the wavelength of this wrinkling, and explains the thickness dependence of the buckling behaviors.
Co-reporter:Zuguang Bian, Jizhou Song, R. Chad Webb, Andrew P. Bonifas, John A. Rogers and Yonggang Huang
RSC Advances 2014 vol. 4(Issue 11) pp:5694-5697
Publication Date(Web):17 Dec 2013
DOI:10.1039/C3RA45277H
Recent work establishes that ultrathin, stretchable sensors can enable high precision thermal characterization of the skin, with capabilities for spatial mapping, in forms that avoid irritation, thermal or mechanical loads on natural behaviors, or motion artifacts. The results have potential for use in cardiovascular screening, skin hydration sensing, and local skin heating and thermal therapy. A theoretical framework for understanding the thermal behavior of these types of sensors is critically important for interpreting the data and identifying optimized designs. This paper presents an analytical model, validated by the finite element method and experiments, for this purpose. The sensor temperature is obtained analytically in terms of material and geometric parameters. A scaling law for the sensor response time shows that the normalized time depends only on the normalized sensor location and normalized thermal properties. A simple, analytic formula for the response at long times is also obtained. The results provide strategies for reducing the sensor response time and thereby for improving the device performance.
Co-reporter:Sheng Xu;Yihui Zhang;Lin Jia;Kyle E. Mathewson;Kyung-In Jang;Jeonghyun Kim;Haoran Fu;Renhan Wang;Xian Huang;Pranav Chava;Sanat Bhole;Lizhe Wang;Yoon Joo Na;Yue Guan;Matthew Flavin;Zheshen Han;John A. Rogers
Science 2014 Volume 344(Issue 6179) pp:70-74
Publication Date(Web):04 Apr 2014
DOI:10.1126/science.1250169
Wearable Monitors
Advances in microelectronics have yielded high-quality devices that allow for intensive signal collection or transmission. S. Xu et al. (p. 70) show how to make a soft wearable system that is constructed like a stretchable circuit board, where the electronic components are bridged electrically by thin, meandering conducting traces that float in a highly visco-elastic polymer. A complete soft circuit capable of multisignal physiological sensing on skin was created, with potential for use in health monitoring or neonatal care.
Co-reporter:Rui Li;Huanyu Cheng;Yewang Su;Suk-Won Hwang;Lan Yin;Hu Tao;Mark A. Brenckle;Dae-Hyeong Kim;Fiorenzo G. Omenetto;John A. Rogers
Advanced Functional Materials 2013 Volume 23( Issue 24) pp:3106-3114
Publication Date(Web):
DOI:10.1002/adfm.201203088
Abstract
Transient electronics is a class of technology that involves components which physically disappear, in whole or in part, at prescribed rates and at programmed times. Enabled devices include medical monitors that fully resorb when implanted into the human body (“bio-resorbable”) to avoid long-term adverse effects, or environmental monitors that dissolve when exposed to water (“eco-resorbable”) to eliminate the need for collection and recovery. Analytical models for dissolution of the constituent materials represent important design tools for transient electronic systems that are configured to disappear in water or biofluids. Here, solutions for reactive-diffusion are presented in single- and double-layered structures, in which the remaining thicknesses and electrical resistances are obtained analytically. The dissolution time and rate are defined in terms of the reaction constants and diffusivities of the materials, the thicknesses of the layer, and other properties of materials and solution. These models agree well with the experiments for single layers of Mg and SiO2, and double layers of Mg/MgO. The underlying physical constants extracted from analysis fall within a broad range previously reported in other studies; these constants can be extremely sensitive to the morphologies of the materials, temperature, and the PH value, concentration, and properties of the surrounding liquid.
Co-reporter:Yihui Zhang, Haoran Fu, Yewang Su, Sheng Xu, Huanyu Cheng, Jonathan A. Fan, Keh-Chih Hwang, John A. Rogers, Yonggang Huang
Acta Materialia 2013 Volume 61(Issue 20) pp:7816-7827
Publication Date(Web):December 2013
DOI:10.1016/j.actamat.2013.09.020
Abstract
Electrical interconnects that adopt self-similar, serpentine layouts offer exceptional levels of stretchability in systems that consist of collections of small, non-stretchable active devices in the so-called island–bridge design. This paper develops analytical models of flexibility and elastic stretchability for such structures, and establishes recursive formulae at different orders of self-similarity. The analytic solutions agree well with finite element analysis, with both demonstrating that the elastic stretchability more than doubles when the order of the self-similar structure increases by one. Design optimization yields 90% and 50% elastic stretchability for systems with surface filling ratios of 50% and 70% of active devices, respectively.
Co-reporter:Yihui Zhang, Sheng Xu, Haoran Fu, Juhwan Lee, Jessica Su, Keh-Chih Hwang, John A. Rogers and Yonggang Huang
Soft Matter 2013 vol. 9(Issue 33) pp:8062-8070
Publication Date(Web):27 Jun 2013
DOI:10.1039/C3SM51360B
Lithographically defined electrical interconnects with thin, filamentary serpentine layouts have been widely explored for use in stretchable electronics supported by elastomeric substrates. We present a systematic and thorough study of buckling physics in such stretchable serpentine microstructures, and a strategic design of the serpentine layout for an ultra-stretchable electrode, via analytical models, finite element method (FEM) computations, and quantitative experiments. Both the onset of buckling and the postbuckling behaviors are examined, to determine scaling laws for the critical buckling strain and the limits of elastic behavior. Two buckling modes, namely the symmetric and anti-symmetric modes, are identified and analyzed, with experimental images and numerical results that show remarkable levels of agreement for the associated postbuckling processes. Based on these studies and an optimization of the design layout, we demonstrate routes for application of serpentine interconnects in an ultra-stretchable electrode that offer, simultaneously, an areal coverage as high as 81% and a biaxial stretchability as large as ∼170%.
Co-reporter:Huanyu Cheng, Yihui Zhang, Xian Huang, John A. Rogers, Yonggang Huang
Sensors and Actuators A: Physical 2013 Volume 203() pp:149-153
Publication Date(Web):1 December 2013
DOI:10.1016/j.sna.2013.08.037
•Devices with mechanical properties matched to the skin enable conformal contact and adhesion via the action of van der Waals forces alone, thereby facilitating accurate, reproducible measurements.•Theoretical investigations of concentric coplanar capacitors in this type of ‘epidermal’ format yield analytic expressions of the impedance for single- and double-layer capacitors, which agree well with finite element analysis and experiments.Without conformal contact between hydration sensors and skin, measured signals (either capacitance or impedance) can be susceptible to artifacts associated with motion-induced changes and irreproducibility in contact. Devices with mechanical properties matched to the skin enable conformal contact and adhesion via the action of van der Waals forces alone, thereby facilitating accurate, reproducible measurements. Theoretical investigations of concentric coplanar capacitors in this type of ‘epidermal’ format yield analytic expressions of the impedance for single- and double-layer capacitors. The calculated dependence of impedance on material and geometric parameters agree well with finite element analysis and experiments, thereby providing important insights into the design of epidermal systems for hydration sensing.
Co-reporter:Andrew Carlson;Audrey M. Bowen;Ralph G. Nuzzo;John A. Rogers
Advanced Materials 2012 Volume 24( Issue 39) pp:5284-5318
Publication Date(Web):
DOI:10.1002/adma.201201386
Abstract
Transfer printing represents a set of techniques for deterministic assembly of micro-and nanomaterials into spatially organized, functional arrangements with two and three-dimensional layouts. Such processes provide versatile routes not only to test structures and vehicles for scientific studies but also to high-performance, heterogeneously integrated functional systems, including those in flexible electronics, three-dimensional and/or curvilinear optoelectronics, and bio-integrated sensing and therapeutic devices. This article summarizes recent advances in a variety of transfer printing techniques, ranging from the mechanics and materials aspects that govern their operation to engineering features of their use in systems with varying levels of complexity. A concluding section presents perspectives on opportunities for basic and applied research, and on emerging use of these methods in high throughput, industrial-scale manufacturing.
Co-reporter:Andrew Carlson;Shuodao Wang;Paulius Elvikis;Placid M. Ferreira;John A. Rogers
Advanced Functional Materials 2012 Volume 22( Issue 21) pp:4476-4484
Publication Date(Web):
DOI:10.1002/adfm.201201023
Abstract
Active, programmable control of interfacial adhesion is an important, desired feature of many existing and envisioned systems, including medical tapes, releasable joints, and stamps for transfer printing. Here a design for an elastomeric surface that offers switchable adhesion strength through a combination of peel-rate dependent effects and actuation of sub-surface fluid chambers is presented. Microchannels and open reservoirs positioned under a thin surface membrane can be pressurized in a controlled manner to induce various levels of surface deformation via inflation. These pressurized structures demonstrate utility in controllably decreasing the strength of adhesion of flat, solid objects to the elastomeric surface, particularly in the limit of low peel-rates. Experimental and theoretical studies of these systems reveal the key mechanisms, and guide optimized geometries for broad control over adhesion, in a programmable and reversible manner. Implementing these concepts in stamps for transfer printing enables new modes for deterministic assembly of micro- and nanoscale materials onto diverse types of substrates. Collections of silicon plates delivered onto plastic, paper and other surfaces with single or multiply addressable stamps illustrate some of the capabilities.
Co-reporter:Dechang Li;Ming S. Liu;Baohua Ji;Keh-Chih Hwang
Chemical Biology & Drug Design 2012 Volume 80( Issue 3) pp:440-454
Publication Date(Web):
DOI:10.1111/j.1747-0285.2012.01417.x
Human immunodeficiency virus type 1 protease (HIV-1 PR) is one of the primary inhibition targets for chemotherapy of AIDS because of its critical role in the replication cycle of the HIV. In this work, a combinatory coarse-grained and atomistic simulation method was developed for dissecting molecular mechanisms and binding process of inhibitors to the active site of HIV-1 PR, in which 35 typical inhibitors were trialed. We found that the molecular size and stiffness of the inhibitors and the binding energy between the inhibitors and PR play important roles in regulating the binding process. Comparatively, the smaller and more flexible inhibitors have larger binding energy and higher binding rates; they even bind into PR without opening the flaps. In contrast, the larger and stiffer inhibitors have lower binding energy and lower binding rate, and their binding is subjected to the opening and gating of the PR flaps. Furthermore, the components of binding free energy were quantified and analyzed by their dependence on the molecular size, structures, and hydrogen bond networks of inhibitors. Our results also deduce significant dynamics descriptors for determining the quantitative structure and property relationship in potent drug ligands for HIV-1 PR inhibition.
Co-reporter:Rui Li;Yuhang Li;Chaofeng Lü;Jizhou Song
International Journal of Fracture 2012 Volume 176( Issue 2) pp:189-194
Publication Date(Web):2012 August
DOI:10.1007/s10704-012-9744-9
An axisymmetric thermo-mechanical model is developed for laser-driven non-contact transfer printing, which involves laser-induced impulsive heating to initiate separation at the interface between a soft, elastomeric stamp and hard micro/nanomaterials (i.e., inks) on its surface, due to a large mismatch in coefficients of thermal expansion. The result is the active ejection of the inks from the stamp, to a spatially separated receiving substrate, thereby representing the printing step. The model gives analytically the temperature field, and also a scaling law for the energy release rate for delamination at the interface between the stamp and an ink in the form of a rigid plate. The normalized critical laser pulse time for interfacial delamination depends only on the normalized absorbed laser power and width of the ink structure, and has been verified by experiments.
Co-reporter:Jongho Lee;Jian Wu;Mingxing Shi;Jongseung Yoon;Sang-Il Park;Ming Li;Zhuangjian Liu;John A. Rogers
Advanced Materials 2011 Volume 23( Issue 8) pp:986-991
Publication Date(Web):
DOI:10.1002/adma.201003961
Co-reporter:Jongho Lee;Jian Wu;Mingxing Shi;Jongseung Yoon;Sang-Il Park;Ming Li;Zhuangjian Liu;John A. Rogers
Advanced Materials 2011 Volume 23( Issue 8) pp:
Publication Date(Web):
DOI:10.1002/adma.201190018
Co-reporter:Viktor Malyarchuk;Chaofeng Lu;Inhwa Jung;Jianliang Xiao;Jongseung Yoon;Ming Li;Zhuangjian Liu;John A. Rogers
PNAS 2011 Volume 108 (Issue 5 ) pp:1788-1793
Publication Date(Web):2011-02-01
DOI:10.1073/pnas.1015440108
Imaging systems that exploit arrays of photodetectors in curvilinear layouts are attractive due to their ability to match
the strongly nonplanar image surfaces (i.e., Petzval surfaces) that form with simple lenses, thereby creating new design options.
Recent work has yielded significant progress in the realization of such “eyeball” cameras, including examples of fully functional
silicon devices capable of collecting realistic images. Although these systems provide advantages compared to those with conventional,
planar designs, their fixed detector curvature renders them incompatible with changes in the Petzval surface that accompany
variable zoom achieved with simple lenses. This paper describes a class of digital imaging device that overcomes this limitation,
through the use of photodetector arrays on thin elastomeric membranes, capable of reversible deformation into hemispherical
shapes with radii of curvature that can be adjusted dynamically, via hydraulics. Combining this type of detector with a similarly
tunable, fluidic plano-convex lens yields a hemispherical camera with variable zoom and excellent imaging characteristics.
Systematic experimental and theoretical studies of the mechanics and optics reveal all underlying principles of operation.
This type of technology could be useful for night-vision surveillance, endoscopic imaging, and other areas that require compact
cameras with simple zoom optics and wide-angle fields of view.
Co-reporter:Dae-Hyeong Kim;Jianliang Xiao;Jizhou Song;John A. Rogers
Advanced Materials 2010 Volume 22( Issue 19) pp:2108-2124
Publication Date(Web):
DOI:10.1002/adma.200902927
Abstract
All commercial forms of electronic/optoelectronic technologies use planar, rigid substrates. Device possibilities that exploit bio-inspired designs or require intimate integration with the human body demand curvilinear shapes and/or elastic responses to large strain deformations. This article reviews progress in research designed to accomplish these outcomes with established, high-performance inorganic electronic materials and modest modifications to conventional, planar processing techniques. We outline the most well developed strategies and illustrate their use in demonstrator devices that exploit unique combinations of shape, mechanical properties and electronic performance. We conclude with an outlook on the challenges and opportunities for this emerging area of materials science and engineering.
Co-reporter:Yewang Su, Baohua Ji, Kai Zhang, Huajian Gao, Yonggang Huang and Kehchih Hwang
Langmuir 2010 Volume 26(Issue 7) pp:4984-4989
Publication Date(Web):January 21, 2010
DOI:10.1021/la9036452
Water-repellent biological systems such as lotus leaves and water strider’s legs exhibit two-level hierarchical surface structures with the smallest characteristic size on the order of a few hundreds nanometers. Here we show that such nano to micro structural hierarchy is crucial for a superhydrophobic and water-repellent surface. The first level structure at the scale of a few hundred nanometers allows the surface to sustain the highest pressure found in the natural environment of plants and insects in order to maintain a stable Cassie state. The second level structure leads to dramatic reduction in contact area, hence minimizing adhesion between water and the solid surface. The two level hierarchy further stabilizes the superhydrophobic state by enlarging the energy difference between the Cassie and the Wenzel states. The stability of Cassie state at the nanostructural scale also allows the higher level structures to restore superhydrophobicity easily after the impact of a rainfall.
Co-reporter:Dechang Li, Baohua Ji, Kehchih Hwang and Yonggang Huang
The Journal of Physical Chemistry B 2010 Volume 114(Issue 8) pp:3060-3069
Publication Date(Web):February 9, 2010
DOI:10.1021/jp1005549
To understand the underlying mechanisms of the open and closed conformational change of HIV-1 protease (HIV-1 PR) at multiple time scales, we performed serial fully unrestrained, extremely long time molecular dynamics simulations with an explicit solvent model. Spontaneous semiopen to closed conformational transition and inhibitor-collision-induced opening of the flaps were simulated in a real time scale. We found that the rapid, local subnanosecond fluctuations of the flap tips might be the mechanisms triggering the global open and close conformational transitions at the 100-ns time scale. The subnanosecond fluctuation is induced by the Φ−Ψ rotations of the residues at the flap tips, mainly Ψ of Gly49 and Φ of Ile50, disturbing the interactions between the two tips and then their stability. We further showed that the water molecule W301 is helpful for the stability of the PR−inhibitor complex by acting as a collision buffer for the dynamic interaction between flap tips and the inhibitor. These results might help gain a better insight into the dynamics of HIV-1 PR, especially the local dynamics of the flap tips, which may provide important guidelines for design of novel potent inhibitors.
Co-reporter:Yewang Su, Baohua Ji, Yonggang Huang, and Keh-chih Hwang
Langmuir 2010 Volume 26(Issue 24) pp:18926-18937
Publication Date(Web):November 18, 2010
DOI:10.1021/la103442b
The mechanics of wet adhesion between a water strider’s legs and a water surface was studied. First, we showed that the nanoscale to microscale hierarchical surface structure on striders’ legs is crucial to the stable water-repellent properties of the legs. The smallest structure is made for the sake of a stable Cassie state even under harsh environment conditions, which sets an upper limit for the dimension of the smallest structure. The maximum stress and the maximum deformation of the surface structures at the contact line are size-dependent because of the asymmetric surface tension, which sets a lower limit for the dimension of the smallest structure. The surface hierarchy can largely reduce the adhesion between the water and the legs by stabilizing the Cassie state, increasing the apparent contact angle, and reducing the contact area and the length of the contact line. Second, the processes of the legs pressing on and detaching from the water surface were analyzed with a 2D model. We found that the superhydrophobicity of the legs’ surface is critically important to reducing the detaching force and detaching energy. Finally, the dynamic process of the legs striking the water surface, mimicking the maneuvering of water striders, was analyzed. We found that the large length of the legs not only reduces the energy dissipation in the quasi-static pressing and pulling processes but also enhances the efficiency of energy transfer from bioenergy to kinetic energy in the dynamic process during the maneuvering of the water striders. The mechanical principles found in this study may provide useful guidelines for the design of superior water-repellent surfaces and novel aquatic robots.
Co-reporter:Jian Wu;Ming Li;Wei-Qiu Chen;Dae-Hyeong Kim;Yun-Soung Kim
Acta Mechanica Sinica 2010 Volume 26( Issue 6) pp:881-888
Publication Date(Web):2010 December
DOI:10.1007/s10409-010-0384-x
Stretchable electronics represents a direction of recent development in next-generation semiconductor devices. Such systems have the potential to offer the performance of conventional wafer-based technologies, but they can be stretched like a rubber band, twisted like a rope, bent over a pencil, and folded like a piece of paper. Isolating the active devices from strains associated with such deformations is an important aspect of design. One strategy involves the shielding of the electronics from deformation of the substrate through insertion of a compliant adhesive layer. This paper establishes a simple, analytical model and validates the results by the finite element method. The results show that a relatively thick, compliant adhesive is effective to reduce the strain in the electronics, as is a relatively short film.
Co-reporter:Seok Kim;Andrew Carlson;Sung Hun Jin;Placid M. Ferreira;Paul Glass;Anton Kovalsky;Weiqiu Chen;Numair Ahmed;Steven L. Elgan;Zhuangjian Liu;Metin Sitti;Jian Wu;John A. Rogers
PNAS 2010 Volume 107 (Issue 40 ) pp:17095-17100
Publication Date(Web):2010-10-05
DOI:10.1073/pnas.1005828107
Reversible control of adhesion is an important feature of many desired, existing, and potential systems, including climbing
robots, medical tapes, and stamps for transfer printing. We present experimental and theoretical studies of pressure modulated
adhesion between flat, stiff objects and elastomeric surfaces with sharp features of surface relief in optimized geometries.
Here, the strength of nonspecific adhesion can be switched by more than three orders of magnitude, from strong to weak, in
a reversible fashion. Implementing these concepts in advanced stamps for transfer printing enables versatile modes for deterministic
assembly of solid materials in micro/nanostructured forms. Demonstrations in printed two- and three-dimensional collections
of silicon platelets and membranes illustrate some capabilities. An unusual type of transistor that incorporates a printed
gate electrode, an air gap dielectric, and an aligned array of single walled carbon nanotubes provides a device example.
Co-reporter:Seung Yoon Ryu, Jianliang Xiao, Won Il Park, Kwang Soo Son, Yonggang Y. Huang, Ungyu Paik and John A. Rogers
Nano Letters 2009 Volume 9(Issue 9) pp:3214-3219
Publication Date(Web):August 11, 2009
DOI:10.1021/nl901450q
We describe experimental and theoretical studies of the buckling mechanics in silicon nanowires (SiNWs) on elastomeric substrates. The system involves randomly oriented SiNWs grown using established procedures on silicon wafers, and then transferred and organized into aligned arrays on prestrained slabs of poly(dimethylsiloxane) (PDMS). Releasing the prestrain leads to nonlinear mechanical buckling processes that transform the initially linear SiNWs into sinusoidal (i.e., “wavy”) shapes. The displacements associated with these waves lie in the plane of the substrate, unlike previously observed behavior in analogous systems of silicon nanoribbons and carbon nanotubes where motion occurs out-of-plane. Theoretical analysis indicates that the energy associated with this in-plane buckling is slightly lower than the out-of-plane case for the geometries and mechanical properties that characterize the SiNWs. An accurate measurement of the Young’s modulus of individual SiNWs, between ∼170 and ∼110 GPa for the range of wires examined here, emerges from comparison of theoretical analysis to experimental observations. A simple strain gauge built using SiNWs in these wavy geometries demonstrates one area of potential application.
Co-reporter:Jianliang Xiao, Simon Dunham, Ping Liu, Yongwei Zhang, Coskun Kocabas, Lionel Moh, Yonggang Huang, Keh-Chih Hwang, Chun Lu, Wei Huang and John A. Rogers
Nano Letters 2009 Volume 9(Issue 12) pp:4311-4319
Publication Date(Web):2017-2-22
DOI:10.1021/nl9025488
Single-walled carbon nanotubes (SWNTs) possess extraordinary electrical properties, with many possible applications in electronics. Dense, horizonally aligned arrays of linearly configured SWNTs represent perhaps the most attractive and scalable way to implement this class of nanomaterial in practical systems. Recent work shows that templated growth of tubes on certain crystalline substrates yields arrays with the necessary levels of perfection, as demonstrated by the formation of devices and full systems on quartz. This paper examines advanced implementations of this process on crystalline quartz substrates with different orientations, to yield strategies for forming diverse, but well-defined horizontal configurations of SWNTs. Combined experimental and theoretical studies indicate that angle-dependent van der Waals interactions can account for nearly all aspects of alignment on quartz with X, Y, Z, and ST cuts, as well as quartz with disordered surface layers. These findings provide important insights into methods for guided growth of SWNTs, and possibly other classes of nanomaterials, for applications in electronics, sensing, photodetection, light emission, and other areas.
Co-reporter:D. Ngo, X. Feng, Y. Huang, A.J. Rosakis
Acta Materialia 2008 Volume 56(Issue 18) pp:5322-5328
Publication Date(Web):October 2008
DOI:10.1016/j.actamat.2008.07.016
Abstract
Current methodologies used to infer thin-film stress from curvature measurements are strictly restricted to stress and curvature states that are assumed to remain uniform over the entire film/substrate system. These methodologies have recently been extended to a single thin film of non-uniform thickness deposited on a substrate and subjected to the non-uniform misfit strain. Such methodologies are extended to multilayer thin films of non-uniform thickness deposited on a substrate in the present study. Each thin film may have its own non-uniform misfit strain and non-uniform thickness. We obtain the film stresses and system curvatures in terms of the misfit strains and thickness in thin films. We derive the film stresses and interface shear stresses in terms of system curvatures and film thicknesses. They all feature a “non-local” dependence on curvatures, which make full-field measurement a necessity for the experimental inference of such stresses.
Co-reporter:Heung Cho Ko,
Mark P. Stoykovich,
Jizhou Song,
Viktor Malyarchuk,
Won Mook Choi,
Chang-Jae Yu,
Joseph B. Geddes III,
Jianliang Xiao,
Shuodao Wang,
Yonggang Huang
&
John A. Rogers
Nature 2008 454(7205) pp:748
Publication Date(Web):2008-08-07
DOI:10.1038/nature07113
The human eye is a remarkable imaging device, with many attractive design features1, 2. Prominent among these is a hemispherical detector geometry, similar to that found in many other biological systems, that enables a wide field of view and low aberrations with simple, few-component imaging optics3, 4, 5. This type of configuration is extremely difficult to achieve using established optoelectronics technologies, owing to the intrinsically planar nature of the patterning, deposition, etching, materials growth and doping methods that exist for fabricating such systems. Here we report strategies that avoid these limitations, and implement them to yield high-performance, hemispherical electronic eye cameras based on single-crystalline silicon. The approach uses wafer-scale optoelectronics formed in unusual, two-dimensionally compressible configurations and elastomeric transfer elements capable of transforming the planar layouts in which the systems are initially fabricated into hemispherical geometries for their final implementation. In a general sense, these methods, taken together with our theoretical analyses of their associated mechanics, provide practical routes for integrating well-developed planar device technologies onto the surfaces of complex curvilinear objects, suitable for diverse applications that cannot be addressed by conventional means.
Co-reporter:J. Wu;K. C. Hwang;J. Song;Y. Huang
Acta Mechanica Sinica 2008 Volume 24( Issue 3) pp:285-288
Publication Date(Web):2008 June
DOI:10.1007/s10409-008-0146-1
The nonlinear atomistic interactions usually involve softening behavior. Instability resulting directly from this softening are called the material instability, while those unrelated to this softening are called the structural instability. We use the finite-deformation shell theory based on the interatomic potential to show that the tension instability of single-wall carbon nanotubes is the material instability, while the compression and torsion instabilities are structural instability.
Co-reporter:Dae-Hyeong Kim;Jong-Hyun Ahn;Won Mook Choi;Hoon-Sik Kim;Tae-Ho Kim;Jizhou Song;Yonggang Y. Huang;Zhuangjian Liu;Chun Lu;John A. Rogers
Science 2008 Volume 320(Issue 5875) pp:
Publication Date(Web):
DOI:10.1126/science.1154367
Abstract
We have developed a simple approach to high-performance, stretchable, and foldable integrated circuits. The systems integrate inorganic electronic materials, including aligned arrays of nanoribbons of single crystalline silicon, with ultrathin plastic and elastomeric substrates. The designs combine multilayer neutral mechanical plane layouts and “wavy” structural configurations in silicon complementary logic gates, ring oscillators, and differential amplifiers. We performed three-dimensional analytical and computational modeling of the mechanics and the electronic behaviors of these integrated circuits. Collectively, the results represent routes to devices, such as personal health monitors and other biomedical devices, that require extreme mechanical deformations during installation/use and electronic properties approaching those of conventional systems built on brittle semiconductor wafers.
Co-reporter:Dae-Hyeong Kim;Jizhou Song;Won Mook Choi;Hoon-Sik Kim;Rak-Hwan Kim;Zhuangjian Liu;Yonggang Y. Huang;Keh-Chih Hwang;Yong-wei Zhang;John A. Rogers;
Proceedings of the National Academy of Sciences 2008 105(48) pp:18675-18680
Publication Date(Web):November 17, 2008
DOI:10.1073/pnas.0807476105
Electronic systems that offer elastic mechanical responses to high-strain deformations are of growing interest because of
their ability to enable new biomedical devices and other applications whose requirements are impossible to satisfy with conventional
wafer-based technologies or even with those that offer simple bendability. This article introduces materials and mechanical
design strategies for classes of electronic circuits that offer extremely high stretchability, enabling them to accommodate
even demanding configurations such as corkscrew twists with tight pitch (e.g., 90° in ≈1 cm) and linear stretching to “rubber-band”
levels of strain (e.g., up to ≈140%). The use of single crystalline silicon nanomaterials for the semiconductor provides performance
in stretchable complementary metal-oxide-semiconductor (CMOS) integrated circuits approaching that of conventional devices
with comparable feature sizes formed on silicon wafers. Comprehensive theoretical studies of the mechanics reveal the way
in which the structural designs enable these extreme mechanical properties without fracturing the intrinsically brittle active
materials or even inducing significant changes in their electrical properties. The results, as demonstrated through electrical
measurements of arrays of transistors, CMOS inverters, ring oscillators, and differential amplifiers, suggest a valuable route
to high-performance stretchable electronics.
Co-reporter:Hanqing Jiang;Dahl-Young Khang;Jizhou Song;Yugang Sun;John A. Rogers;
Proceedings of the National Academy of Sciences 2007 104(40) pp:15607-15612
Publication Date(Web):September 26, 2007
DOI:10.1073/pnas.0702927104
We present detailed experimental and theoretical studies of the mechanics of thin buckled films on compliant substrates. In
particular, accurate measurements of the wavelengths and amplitudes in structures that consist of thin, single-crystal ribbons
of silicon covalently bonded to elastomeric substrates of poly(dimethylsiloxane) reveal responses that include wavelengths
that change in an approximately linear fashion with strain in the substrate, for all values of strain above the critical strain
for buckling. Theoretical reexamination of this system yields analytical models that can explain these and other experimental
observations at a quantitative level. We show that the resulting mechanics has many features in common with that of a simple
accordion bellows. These results have relevance to the many emerging applications of controlled buckling structures in stretchable
electronics, microelectromechanical systems, thin-film metrology, optical devices, and others.
Co-reporter:Yewang Su, Baohua Ji, Keh-Chih Hwang, Yonggang Huang
Journal of the Mechanics and Physics of Solids (October 2012) Volume 60(Issue 10) pp:1771-1790
Publication Date(Web):1 October 2012
DOI:10.1016/j.jmps.2012.05.003
Nanocomposite structure, consisting of hard mineral and soft protein, is the elementary building block of biological materials, where the mineral crystals are arranged in a staggered manner in protein matrix. This special alignment of mineral is supposed to be crucial to the structural stability of the biological materials under compressive load, but the underlying mechanism is not yet clear. In this study, we performed analytical analysis on the buckling strength of the nanocomposite structure by explicitly considering the staggered alignment of the mineral crystals, as well as the coordination among the minerals during the buckling deformation. Two local buckling modes of the nanostructure were identified, i.e., the symmetric mode and anti-symmetric mode. We showed that the symmetric mode often happens at large aspect ratio and large volume fraction of mineral, while the anti-symmetric happens at small aspect ratio and small volume fraction. In addition, we showed that because of the coordination of minerals with the help of their staggered alignment, the buckling strength of these two modes approached to that of the ideally continuous fiber reinforced composites at large aspect ratio given by Rosen's model, insensitive to the existing “gap”-like flaws between mineral tips. Furthermore, we identified a mechanism of buckling mode transition from local to global buckling with increase of aspect ratio, which was attributed to the biphasic dependence of the buckling strength on the aspect ratio. That is, for small aspect ratio, the local buckling strength is smaller than that of global buckling so that it dominates the buckling behavior of the nanocomposite; for comparatively larger aspect ratio, the local buckling strength is higher than that of global buckling so that the global buckling dominates the buckling behavior. We also found that the hierarchical structure can effectively enhance the buckling strength, particularly, this structural design enables biological nanocomposites to avoid local buckling so as to achieve global buckling at macroscopic scales through hierarchical design. These features are remarkably important for the mechanical functions of biological materials, such as bone, teeth and nacre, which often sustain large compressive load.
Co-reporter:Z.Q. Zhang, B. Liu, Y. Huang, K.C. Hwang, H. Gao
Journal of the Mechanics and Physics of Solids (October 2010) Volume 58(Issue 10) pp:1646-1660
Publication Date(Web):1 October 2010
DOI:10.1016/j.jmps.2010.07.004
Unidirectional nanocomposite structures with parallel staggered platelet reinforcements are widely observed in natural biological materials. The present paper is aimed at an investigation of the stiffness, strength, failure strain and energy storage capacity of a unidirectional nanocomposite with non-uniformly or randomly staggered platelet distribution. Our study indicates that, besides the volume fraction, shape, and orientation of the platelets, their distribution also plays a significant role in the mechanical properties of a unidirectional nanocomposite, which can be quantitatively characterized in terms of four dimensionless parameters associated with platelet distribution. It is found that, compared with other distributions, stairwise and regular staggering of platelets produce overall the most balanced mechanical properties, which might be a key reason why these structures are most widely observed in nature.
Co-reporter:J. Wu, Z. Zhang, B. Liu, K.C. Hwang, Y. Huang
International Journal of Plasticity (October 2009) Volume 25(Issue 10) pp:1879-1887
Publication Date(Web):1 October 2009
DOI:10.1016/j.ijplas.2008.12.011
A shell theory established from the interatomic potential for carbon nanotubes is compared with the atomistic simulations. This shell theory is implemented in the finite element program ABAQUS via its user-material subroutine UGENS for shells. The numerical results for the representative loadings of tension, torsion and bending agree well with the atomistic simulations, which provide direct validation of this atomistic-based shell theory for carbon nanotubes.
Co-reporter:Y.L. Chen, B. Liu, J. Wu, Y. Huang, H. Jiang, K.C. Hwang
Journal of the Mechanics and Physics of Solids (November 2008) Volume 56(Issue 11) pp:3224-3241
Publication Date(Web):1 November 2008
DOI:10.1016/j.jmps.2008.07.007
A continuum mechanics model is established for hydrogen storage in single- and multi-wall carbon nanotubes (CNTs) and the bundle of single-wall CNTs. The model accounts for the deformation of CNTs, and van der Waals interactions among hydrogen molecules and between hydrogen and carbon atoms. The analytical expressions of hydrogen storage (number of hydrogen molecules per unit volume) in CNTs are obtained, and are validated by atomistic simulations. CNTs are categorized as tiny, small, medium and large CNTs; tiny CNTs cannot achieve the goals of hydrogen storage (62 kg/m3 and 6.5 wt% of hydrogen set by the US Department of Energy) without fracture; small CNTs are strained during hydrogen storage; medium CNTs can achieve the above goals without the strain and do not self collapse; and large CNTs may self collapse upon the release of hydrogen.
Co-reporter:Yeguang Xue, Yihui Zhang, Xue Feng, Seok Kim, John A. Rogers, Yonggang Huang
Journal of the Mechanics and Physics of Solids (March 2016) Volume 88() pp:346
Publication Date(Web):1 March 2016
DOI:10.1016/j.jmps.2015.03.008
Co-reporter:Yewang Su, Jian Wu, Zhichao Fan, Keh-Chih Hwang, Jizhou Song, Yonggang Huang, John A. Rogers
Journal of the Mechanics and Physics of Solids (March 2012) Volume 60(Issue 3) pp:487-508
Publication Date(Web):1 March 2012
DOI:10.1016/j.jmps.2011.11.006
A versatile strategy for fabricating stretchable electronics involves controlled buckling of bridge structures in circuits that are configured into open, mesh layouts (i.e. islands connected by bridges) and bonded to elastomeric substrates. Quantitative analytical mechanics treatments of the responses of these bridges can be challenging, due to the range and diversity of possible motions. Koiter (1945) pointed out that the postbuckling analysis needs to account for all terms up to the 4th power of displacements in the potential energy. Existing postbuckling analyses, however, are accurate only to the 2nd power of displacements in the potential energy since they assume a linear displacement–curvature relation. Here, a systematic method is established for accurate postbuckling analysis of beams. This framework enables straightforward study of the complex buckling modes under arbitrary loading, such as lateral buckling of the island-bridge, mesh structure subject to shear (or twist) or diagonal stretching observed in experiments. Simple, analytical expressions are obtained for the critical load at the onset of buckling, and for the maximum bending, torsion (shear) and principal strains in the structure during postbuckling.
Co-reporter:J. Peng, J. Wu, K.C. Hwang, J. Song, Y. Huang
Journal of the Mechanics and Physics of Solids (June 2008) Volume 56(Issue 6) pp:2213-2224
Publication Date(Web):1 June 2008
DOI:10.1016/j.jmps.2008.01.004
Single-wall carbon nanotubes (SWCNT) have been frequently modeled as thin shells, but the shell thickness and Young's modulus reported in literatures display large scattering. The order of error to approximate SWCNTs as thin shells is studied in this paper via an atomistic-based finite-deformation shell theory, which avoids the shell thickness and Young's modulus, but links the tension and bending rigidities directly to the interatomic potential. The ratio of atomic spacing (Δ≈0.14 nm) to the radius of SWCNT, Δ/R, which ranges from zero (for graphene) to 40% [for a small (5,5) armchair SWCNT (R=0.35 nm)], is used to estimate the order of error. For the order of error O[(Δ/R)3], SWCNTs cannot be represented by a conventional thin shell because their constitutive relation involves the coupling between tension and curvature and between bending and strain. For the order of error O[(Δ/R)2], the tension and bending (shear and torsion) rigidities of SWCNTs can be represented by an elastic orthotropic thin shell, but the thickness and elastic modulus cannot. Only for the order of error O(Δ/R), a universal constant shell thickness can be defined and SWCNTs can be modeled as an elastic isotropic thin shell.
Co-reporter:Huanyu Cheng, Jian Wu, Qingmin Yu, Hyun-Joon Kim-Lee, Andrew Carlson, Kevin T. Turner, Keh-Chih Hwang, Yonggang Huang, John A. Rogers
Mechanics Research Communications (July 2012) Volume 43() pp:46-49
Publication Date(Web):1 July 2012
DOI:10.1016/j.mechrescom.2012.02.011
Transfer printing is an important technique for assembling micro/nanomaterials on unusual substrates, with promising applications in the fabrication of stretchable and flexible electronics designed for use in areas such as biomedicine. The process involves retrieval of structures (e.g., micro-devices) from their growth (donor) substrate via an elastomeric stamp (i.e., an element with posts on its surface), and then delivers them onto a different (receiver) substrate. An analytical mechanics model is developed to identify the key parameters for a shear-enhanced mode for transfer printing. The results predict that the pull-off force decreases linearly with increasing shear strain in the post, or with shear displacement across the stamp. This prediction agrees well with the experiments.
Co-reporter:Z. Shi, X. Feng, Y. Huang, J. Xiao, K.C. Hwang
International Journal of Plasticity (January 2010) Volume 26(Issue 1) pp:141-148
Publication Date(Web):1 January 2010
DOI:10.1016/j.ijplas.2009.06.008
Nix and Gio [Nix, W.D., Gao, H.J., 1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. Journal of the Mechanics and Physics of Solids 46, 411–425] established an important relation between the micro-indentation hardness and indentation depth for axisymmetric indenters. For the Berkovich indenter, however, this relation requires an equivalent cone angle. Qin et al. [Qin, J., Huang, Y., Xiao, J., Hwang, K.C., 2009. The equivalence of axisymmetric indentation model for three-dimensional indentation hardness. Journal of Materials Research 24, 776–783] showed that the widely used equivalent cone angle from the criterion of equal base area leads to significant errors in micro-indentation, and proposed a new equivalence of equal cone angle for iridium. It is shown in this paper that this new equivalence holds for a wide range of plastic work hardening materials. In addition, the prior equal-base-area criterion does not hold because the Berkovich indenter gives much higher density of geometrically necessary dislocations than axisymmetric indenter. The equivalence of equal cone angle, however, does not hold for Vickers indenter.
Co-reporter:Yeguang Xue, Daeshik Kang, Yinji Ma, Xue Feng, John A. Rogers, Yonggang Huang
Extreme Mechanics Letters (February 2017) Volume 11() pp:
Publication Date(Web):February 2017
DOI:10.1016/j.eml.2016.11.012
Self-collapse is a common problem encountered in fabrication of thin, soft epidermal microfluidic devices, due to the adhesion between top and bottom covers. Analytic models are developed for collapse of both long microfluidic channels and circular microfluidic reservoirs, with their covers modelled as plane-strain beam and thin plate, respectively. The analysis shows that a single parameter, the normalized work of adhesion, which combines the effects of channel/reservoir geometry, work of adhesion and bending stiffness of top and bottom channel/reservoir covers, controls different collapse states (no collapse, meta stable collapse and stable collapse) The established models agree well with the experimental observations, and provide guidelines to avoid the problem of self-collapse in design of epidermal microfluidic devices.
Co-reporter:Jiang Qin, Shaoxing Qu, Xue Feng, Yonggang Huang, Jianliang Xiao, Keh-Chih Hwang
Acta Mechanica Solida Sinica (February 2009) Volume 22(Issue 1) pp:18-26
Publication Date(Web):February 2009
DOI:10.1016/S0894-9166(09)60086-0
Co-reporter:Yewang Su, Baohua Ji, Yonggang Huang, Kehchih Hwang
Acta Mechanica Solida Sinica (December 2009) Volume 22(Issue 6) pp:
Publication Date(Web):1 December 2009
DOI:10.1016/S0894-9166(09)60390-6
Plant leaves, insects and geckos are masters of adhesion or anti-adhesion by smartly designed refined surface structures with micro- and nano- ‘technologies’. Understanding the basic principles in the design of the unique surface structures is of great importance in the manufacture or synthesis of micro- and nano- devices in MEMS or NEMS. This study is right inspired by this effort, focusing on the mechanics of wet adhesion between fibers having concave tips and a at substrate via capillary forces. We show that the concave surface can effectively enhance the wet adhesion by reducing the effective contact angle of the fiber, firmly pinning the liquid bridge at its circumferential edge. A critical contact angle is identified below which the adhesion strength can achieve its maximum, being insensitive to the contact angle between the fiber and liquid. The analytical expression for the critical angle is derived. Then a tentative design for the profile of concave surfaces is proposed, considering the effects of chamfering size, deformation and buckling, etc. The effect of liquid volume on the wet adhesion of multiple-fiber system is also discussed.
Co-reporter:Zhichao Fan, Yihui Zhang, Qiang Ma, Fan Zhang, Haoran Fu, Keh-Chih Hwang, Yonggang Huang
International Journal of Solids and Structures (August 2016) Volume 91() pp:46-54
Publication Date(Web):1 August 2016
DOI:10.1016/j.ijsolstr.2016.04.030
Lithographically defined interconnects with filamentary, serpentine configurations have been widely used in various forms of stretchable electronic devices, owing to the ultra-high stretchability that can be achieved and the relative simple geometry that facilitates the design and fabrication. Theoretical models of serpentine interconnects developed previously for predicting the performance of stretchability were mainly based on the theory of infinitesimal deformation. This assumption, however, does not hold for the interconnects that undergo large levels of deformations before the structural failure. Here, an analytic model of serpentine interconnects is developed starting from the finite deformation theory of planar, curved beams. Finite element analyses (FEA) of the serpentine interconnects with a wide range of geometric parameters were performed to validate the developed model. Comparisons of the predicted stretchability to the estimations of linear models provide quantitative insights into the effect of finite deformation. Both the theoretical and numerical results indicate that a considerable overestimation (e.g., >50% relatively) of the stretchability can be induced by the linear model for many representative shapes of serpentine interconnects. Furthermore, a simplified analytic solution of the stretchability is obtained by using an approximate model to characterize the nonlinear effect. The developed models can be used to facilitate the designs of serpentine interconnects in future applications.
Co-reporter:Hang Chen, Xue Feng, Yin Huang, Yonggang Huang, John A. Rogers
Journal of the Mechanics and Physics of Solids (August 2013) Volume 61(Issue 8) pp:1737-1752
Publication Date(Web):1 August 2013
DOI:10.1016/j.jmps.2013.04.001
Transfer printing is an exceptionally sophisticated approach to assembly and micro-/nanofabrication that relies on a soft, elastomeric ‘stamp’ to transfer solid, micro-/nanoscale materials or device components from one substrate to another, in a large-scale, parallel fashion. The most critical control parameter in transfer printing is the strength of adhesion between the stamp and materials/devices. Conventional peel tests provide effective and robust means for determining the interfacial adhesion strength, or equivalently the energy release rate, and its dependence on peel speed. The results presented here provide analytic solutions for tests of this type, performed using viscoelastic strips with and without patterns of relief on their surfaces, and validated by systematic experiments. For a flat strip, a simple method enables determination of the energy release rate as a function of the peel speed. Patterned strips can be designed to achieve desired interfacial properties, with either stronger or weaker adhesion than that for a flat strip. The pattern spacing influences the energy release rate, to give values that initially decrease to levels smaller than those for a corresponding flat strip, as the pattern spacing increases. Once the spacing reaches a critical value, the relief self-collapses onto the substrate, thereby significantly increasing the contact area and the strength of adhesion. Analytic solutions capture not only these behaviors, as confirmed by experiment, but also extend to strips with nearly any pattern geometry of cylindrical pillars.
Co-reporter:Yeguang Xue, Yihui Zhang, Xue Feng, Seok Kim, John A. Rogers, Yonggang Huang
Journal of the Mechanics and Physics of Solids (April 2015) Volume 77() pp:27-42
Publication Date(Web):1 April 2015
DOI:10.1016/j.jmps.2015.01.001
Transfer printing is an important and versatile tool for deterministic assembly and integration of micro/nanomaterials on unusual substrates, with promising applications in fabrication of stretchable and flexible electronics. The shape memory polymers (SMP) with triangular surface relief structures are introduced to achieve large, reversible adhesion, thereby with potential applications in temperature-controlled transfer printing. An analytic model is established, and it identifies two mechanisms to increase the adhesion: (1) transition of contact mode from the triangular to trapezoidal configurations, and (2) explicit enhancement in the contact area. The surface relief structures are optimized to achieve reversible adhesion and transfer printing. The theoretical model and results presented can be exploited as design guidelines for future applications of SMP in reversible adhesion and stretchable electronics.
Co-reporter:X. Feng, Y. Huang, A.J. Rosakis
International Journal of Solids and Structures (30 June 2008) Volume 45(Issue 13) pp:3688-3698
Publication Date(Web):30 June 2008
DOI:10.1016/j.ijsolstr.2007.09.012
Current methodologies used for the inference of thin film stress through curvature measurement are strictly restricted to stress and curvature states that are assumed to remain uniform over the entire film/substrate system. These methodologies have recently been extended to a single layer of thin film deposited on a substrate subjected to the non-uniform misfit strain in the thin film. Such methodologies are further extended to multi-layer thin films deposited on a substrate in the present study. Each thin film may have its own non-uniform misfit strain. We derive relations between the stresses in each thin film and the change of system curvatures due to the deposition of each thin film. The interface shear stresses between the adjacent films and between the thin film and the substrate are also obtained from the system curvatures. This provides the basis for the experimental determination of thin film stresses in multi-layer thin films on a substrate.
Co-reporter:J. Song, H. Jiang, Z.J. Liu, D.Y. Khang, Y. Huang, J.A. Rogers, C. Lu, C.G. Koh
International Journal of Solids and Structures (15 May 2008) Volume 45(Issue 10) pp:3107-3121
Publication Date(Web):15 May 2008
DOI:10.1016/j.ijsolstr.2008.01.023
A finite-deformation theory is developed to study the mechanics of thin buckled films on compliant substrates. Perturbation analysis is performed for this highly nonlinear system to obtain the analytical solution. The results agree well with experiments and finite element analysis in wavelength and amplitude. In particular, it is found that the wavelength depends on the strain. Based on the accurate wavelength and amplitude, the membrane and peak strains in thin films, and stretchability and compressibility of the system are also obtained analytically.
Co-reporter:Yihui Zhang, Haoran Fu, Sheng Xu, Jonathan A. Fan, Keh-Chih Hwang, Jianqun Jiang, John A. Rogers, Yonggang Huang
Journal of the Mechanics and Physics of Solids (1 December 2014) Volume 72() pp:115-130
Publication Date(Web):1 December 2014
DOI:10.1016/j.jmps.2014.07.011
Stretchable electronics that require functional components with high areal coverages, antennas with small sizes and/or electrodes with invisibility under magnetic resonance imaging can benefit from the use of electrical wiring constructs that adopt fractal inspired layouts. Due to the complex and diverse microstructures inherent in high order interconnects/electrodes/antennas with such designs, traditional non-linear postbuckling analyses based on conventional finite element analyses (FEA) can be cumbersome and time-consuming. Here, we introduce a hierarchical computational model (HCM) based on the mechanism of ordered unraveling for postbuckling analysis of fractal inspired interconnects, in designs previously referred to as ‘self-similar’, under stretching. The model reduces the computational efforts of traditional approaches by many orders of magnitude, but with accurate predictions, as validated by experiments and FEA. As the fractal order increases from 1 to 4, the elastic stretchability can be enhanced by ~200 times, clearly illustrating the advantage of simple concepts in fractal design. These results, and the model in general, can be exploited in the development of optimal designs in wide ranging classes of stretchable electronics systems.
Co-reporter:Jian Wu, Seok Kim, Andrew Carlson, Chaofeng Lu, ... John A. Rogers
Theoretical and Applied Mechanics Letters Volume 1(Issue 1) pp:
Publication Date(Web):1 January 2011
DOI:10.1063/2.1101101
A mechanics model is developed for the contact radius of stamps with pyramid tips in transfer printing. This is important to the realization of reversible control of adhesion, which has many important applications, such as climbing robots, medical tapes, and transfer printing of electronics. The contact radius is shown to scale linearly with the work of adhesion between the stamp and the contacting surface, and inversely with the plane-strain modulus of the stamp. It also depends on the cone angle and tip radius of the stamp, but is essentially independent of details of the tip geometry.