Instabilities as a measurement tool for soft materials

Mechanical instabilities such as wrinkles, creases, and folds have long been viewed as a source of frustration for engineers and often a point of curiosity among scientists. Scientists aspire to understand the underlying physics behind the formation of mechanical instabilities and how to manipulate them for various endeavours, while engineers use this same understanding to design materials that inhibit or impede the formation of instabilities in critical applications. In recent years, a new movement in this community has emerged: harnessing these instabilities to provide critical insight into the properties of soft materials. We describe here the foundation of one particular analytical tool based on surface wrinkling and how this approach has been used to measure materials and systems that are inherently difficult to characterize. We also highlight some of the specific challenges and opportunities we envision for this measurement tool. Within this framework, we believe that there is great potential for broadening the capabilities of wrinkling metrology as the field of instability-engineering continues to mature.

[1]  P. Gennes.  Glass transitions in thin polymer films , 2000 .

[2]  C. Stafford,et al.  Quantifying residual stress in nanoscale thin polymer films via surface wrinkling. , 2009, ACS nano.

[3]  Bryan D. Vogt,et al.  Elastic Moduli of Ultrathin Amorphous Polymer Films , 2006 .

[4]  C. Stafford,et al.  Elastic modulus of amorphous polymer thin films: relationship to the glass transition temperature. , 2009, ACS nano.

[5]  J. Burdick,et al.  Swelling‐Induced Surface Patterns in Hydrogels with Gradient Crosslinking Density , 2009 .

[6]  R. Cook,et al.  Elastic and adhesive properties of alkanethiol self-assembled monolayers on gold , 2009 .

[7]  Z. Suo,et al.  Wrinkling of a compressed elastic film on a viscous layer , 2002 .

[8]  Russell Messier,et al.  Revised structure zone model for thin film physical structure , 1984 .

[9]  Charles R. Steele,et al.  Shell Stability Related to Pattern Formation in Plants , 2000 .

[10]  D. Kwon,et al.  Film-thickness considerations in microcantilever-beam test in measuring mechanical properties of metal thin film , 2003 .

[11]  Rui Huang,et al.  Buckling modes of elastic thin films on elastic substrates , 2007 .

[12]  Willi Volksen,et al.  A buckling-based metrology for measuring the elastic moduli of polymeric thin films , 2004, Nature materials.

[13]  Christopher J. Ellison,et al.  The distribution of glass-transition temperatures in nanoscopically confined glass formers , 2003, Nature materials.

[14]  M. Moon,et al.  A measurement of elastic moduli for tungsten films on polymer substrate using wrinkling analysis , 2009 .

[15]  W. Huck,et al.  Formation of Hierarchically Structured Thin Films , 2009 .

[16]  J. Erlebacher,et al.  Size dependence of effective Young’s modulus of nanoporous gold , 2007 .

[17]  Rui Huang,et al.  Viscoelastic properties of confined polymer films measured via thermal wrinkling , 2009 .

[18]  S. Margulies,et al.  Alveolar epithelial surface area-volume relationship in isolated rat lungs. , 1999, Journal of applied physiology.

[19]  C. Stafford,et al.  Measuring the Modulus of Soft Polymer Networks via a Buckling-Based Metrology , 2006 .

[20]  Alamgir Karim,et al.  Sinusoidal phase grating created by a tunably buckled surface , 2004 .

[21]  John A Rogers,et al.  Controlled buckling of semiconductor nanoribbons for stretchable electronics , 2006, Nature nanotechnology.

[22]  Alfred J. Crosby,et al.  Surface Wrinkles for Smart Adhesion , 2008 .

[23]  G. Wegner,et al.  P-V-T measurements on PMMA : PbTiO3 polymer-ceramic composites with tunable thermal expansion , 2010 .

[24]  T. Emrick,et al.  Impact of Surface-Modified Nanoparticles on Glass Transition Temperature and Elastic Modulus of Polymer Thin Films , 2007 .

[25]  Christopher J. Ellison,et al.  Confinement, composition, and spin-coating effects on the glass transition and stress relaxation of thin films of polystyrene and styrene-containing random copolymers: Sensing by intrinsic fluorescence , 2006 .

[26]  J. Hutchinson,et al.  A family of herringbone patterns in thin films , 2004 .

[27]  T. Ito,et al.  A micromechanics-based analysis for tailoring glass-fiber-reinforced thermoplastic laminates with near-zero coefficients of thermal expansion , 2000 .

[28]  George M. Whitesides,et al.  Controlling Mammalian Cell Spreading and Cytoskeletal Arrangement with Conveniently Fabricated Continuous Wavy Features on Poly(dimethylsiloxane) , 2002 .

[29]  P. Damman,et al.  Wrinkling of stimuloresponsive surfaces: mechanical instability coupled to diffusion. , 2008, Physical review letters.

[30]  Philip V. Bayly,et al.  Residual stress in the adult mouse brain , 2009, Biomechanics and modeling in mechanobiology.

[31]  Hyewon Kang,et al.  Polymer elasticity-driven wrinkling and coarsening in high temperature buckling of metal-capped polymer thin films. , 2004, Physical review letters.

[32]  A. McCormick,et al.  Development and measurement of stress in polymer coatings , 2002 .

[33]  H. G. Allen.  Analysis and design of structural sandwich panels , 1969 .

[34]  J. Torkelson,et al.  Eliminating the Enhanced Mobility at the Free Surface of Polystyrene: Fluorescence Studies of the Glass Transition Temperature in Thin Bilayer Films of Immiscible Polymers , 2007 .

[35]  H. Gong,et al.  Mechanical properties of Cu-Al-O thin films prepared by plasma-enhanced chemical vapor deposition , 2006 .

[36]  T. Witten,et al.  Lateral stress relaxation and collapse in lipid monolayers. , 2008, Soft matter.

[37]  P. Yoo,et al.  Morphological Diagram for Metal/Polymer Bilayer Wrinkling: Influence of Thermomechanical Properties of Polymer Layer , 2005 .

[38]  T. O'sullivan,et al.  Mechanical Properties of Thin Films , 1990 .

[39]  S. D. Hudson,et al.  Wrinkling and strain softening in single-wall carbon nanotube membranes. , 2010, Physical review letters.

[40]  Jie Yin,et al.  Mechanical self-assembly fabrication of gears , 2009 .

[41]  J. Groenewold.  Wrinkling of plates coupled with soft elastic media , 2001 .

[42]  Martin Y.M. Chiang,et al.  Combinatorial and high-throughput measurements of the modulus of thin polymer films , 2005 .

[43]  F. Spaepen,et al.  Measurements of stress during vapor deposition of copper and silver thin films and multilayers , 1996 .

[44]  G. Reiter,et al.  Residual stresses in thin polymer films cause rupture and dominate early stages of dewetting , 2005, Nature materials.

[45]  George M. Whitesides,et al.  Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer , 1998, Nature.

[46]  James A. Forrest,et al.  The glass transition in thin polymer films , 2001 .

[47]  L. Francis,et al.  Mechanism of wrinkle formation in curing coatings , 2005 .

[48]  Chaorong Li,et al.  Stressed Triangular Tessellations and Fibonacci Parastichous Spirals on Ag Core/SiO2 Shell Microstructures , 2009 .

[49]  C. Stafford,et al.  Diffusion‐Controlled, Self‐Organized Growth of Symmetric Wrinkling Patterns , 2009 .

[50]  Christopher M. Stafford,et al.  Characterizing Polymer Brushes via Surface Wrinkling , 2007 .

[51]  Joseph L. Keddie,et al.  Size-Dependent Depression of the Glass Transition Temperature in Polymer Films , 1994 .

[52]  Z. Suo,et al.  Very thin solid-on-liquid structures: the interplay of flexural rigidity, membrane force, and interfacial force , 2003 .

[53]  A. Newell,et al.  Phyllotactic patterns on plants. , 2004, Physical review letters.

[54]  Vladimir V Tsukruk,et al.  Complex buckling instability patterns of nanomembranes with encapsulated gold nanoparticle arrays. , 2006, Nano letters.

[55]  M. Rubner,et al.  A Two-Plate Buckling Technique for Thin Film Modulus Measurements: Applications to Polyelectrolyte Multilayers , 2006 .

[56]  A. Crosby,et al.  Surface wrinkling behavior of finite circular plates , 2009 .

[57]  Ray Gunawidjaja,et al.  Mechanical Properties of Robust Ultrathin Silk Fibroin Films , 2007 .

[58]  S. Desprez,et al.  Slippery or sticky boundary conditions: control of wrinkling in metal-capped thin polymer films by selective adhesion to substrates. , 2007, Physical review letters.

[59]  Rui Huang,et al.  Kinetic wrinkling of an elastic film on a viscoelastic substrate , 2005 .

[60]  Z. Suo,et al.  Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load , 2009 .