Phase diagrams of instabilities in compressed film-substrate systems

Journal of Applied Mechanics, Transactions ASME

Volumn 81, Issue 5, 2014, Pages

  Wang, Qiming ^a   Zhao, Xuanhe ^a  

^a Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE MEMBRANES; ELASTIC FILMS; FILM-SUBSTRATE ADHESION; FILM-SUBSTRATE SYSTEMS; MAXWELL STABILITY CRITERIONS; THEORETICAL STUDY; THERMODYNAMIC SYSTEMS; UNI-AXIAL COMPRESSION;

PHASE DIAGRAMS; STABILITY CRITERIA;

SUBSTRATES;

EID: 84890398220     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4025828     Document Type: Article

References (72)

1. Jin, L., Cai, S., and Suo, Z., 2011, "Creases in Soft Tissues Generated by Growth," EPL (Europhys. Lett.), 95(6), p. 64002.
2. Chan, E. P., Smith, E. J., Hayward, R. C., and Crosby, A. J., 2008, "Surface Wrinkles for Smart Adhesion," Adv. Mater., 20(4), pp. 711-716.
3. Guvendiren, M., Burdick, J. A., and Yang, S., 2010, "Solvent Induced Transition From Wrinkles to Creases in Thin Film Gels With Depth-Wise Crosslinking Gradients," Soft Matter, 6(22), pp. 5795-5801.
4. Tanaka, T., Sun, S. T., Hirokawa, Y., Katayama, S., Kucera, J., Hirose, Y., and Amiya, T., 1987, "Mechanical Instability of Gels at the Phase Transition," Nature, 325(6107), pp. 796-798.
5. Kim, J., Yoon, J., and Hayward, R. C., 2009, "Dynamic Display of Biomolecular Patterns Through an Elastic Creasing Instability of Stimuli-Responsive Hydrogels," Nature Mater., 9(2), pp. 159-164.
6. Yin, J., Cao, Z., Li, C., Sheinman, I., and Chen, X., 2008, "Stress-Driven Buckling Patterns in Spheroidal Core/Shell Structures," Proc. Natl. Acad. Sci., 105(49), pp. 19132-19135.
7. Li, B., Jia, F., Cao, Y.-P., Feng, X.-Q., and Gao, H., 2011, "Surface Wrinkling Patterns on a Core-Shell Soft Sphere," Phys. Rev. Lett., 106(23), pp. 234301.
8. Bowden, N., Brittain, S., Evans, A. G., Hutchinson, J. W., and Whitesides, G. M., 1998, "Spontaneous Formation of Ordered Structures in Thin Films of Metals Supported on an Elastomeric Polymer," Nature, 393(6681), pp. 146-149. (Pubitemid 28242249)
9. Chen, X., and Hutchinson, J. W., 2004, "Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates," ASME J. Appl. Mech., 71(5), pp. 597-603. (Pubitemid 40122552)
10. Mei, H., Huang, R., Chung, J. Y., Stafford, C. M., and Yu, H. H., 2007, "Buckling Modes of Elastic Thin Films on Elastic Substrates," Appl. Phys. Lett., 90(15), p. 151902.
11. Cai, S., Breid, D., Crosby, A., Suo, Z., and Hutchinson, J., 2011, "Periodic Patterns and Energy States of Buckled Films on Compliant Substrates," J. Mech. Phys. Solids, 59(5), pp. 1094-1114.
12. Gioia, G., and Ortiz, M., 1997, "Delamination of Compressed Thin Films," Adv. Appl. Mech., 33, pp. 119-192.
13. Moon, M.-W., Lee, S. H., Sun, J.-Y., Oh, K. H., Vaziri, A., and Hutchinson, J. W., 2007, "Wrinkled Hard Skins on Polymers Created by Focused Ion Beam," Proc. Natl. Acad. Sci., 104(4), pp. 1130-1133. (Pubitemid 46188238)
14. Kim, P., Abkarian, M., and Stone, H. A., 2011, "Hierarchical Folding of Elastic Membranes Under Biaxial Compressive Stress," Nature Mater., 10(12), pp. 952-957.
15. Wang, Q., Tahir, M., Zang, J., and Zhao, X., 2012, "Dynamic Electrostatic Lithography: Multiscale On-Demand Patterning on Large-Area Curved Surfaces," Adv. Mater., 24(15), pp. 1947-1951.
16. Wang, Q., Zhang, L., and Zhao, X., 2011, "Creasing to Cratering Instability in Polymers Under Ultrahigh Electric Fields," Phys. Rev. Lett., 106(11), pp. 118301.
17. Wang, Q., Tahir, M., Zhang, L., and Zhao, X., 2011, "Electro- Creasing Instability in Deformed Polymers: Experiment and Theory," Soft Matter, 7(14), pp. 6583-6589.
18. Cai, S., Chen, D., Suo, Z., and Hayward, R. C., 2012, "Creasing Instability of Elastomer Films," Soft Matter, 8(5), pp. 1301-1304.
19. Chen, D., Cai, S., Suo, Z., and Hayward, R. C., 2012, "Surface Energy as a Barrier to Creasing of Elastomer Films: An Elastic Analogy to Classical Nucleation," Phys. Rev. Lett., 109(3), pp. 38001.
20. Khang, D. Y., Jiang, H., Huang, Y., and Rogers, J. A., 2006, "A Stretchable Form of Single-Crystal Silicon for High-Performance Electronics on Rubber Substrates," Science, 311(5758), pp. 208-212. (Pubitemid 43108182)
21. Yang, S., Khare, K., and Lin, P. C., 2010, "Harnessing Surface Wrinkle Patterns in Soft Matter," Adv. Funct. Mater., 20(16), pp. 2550-2564.
22. Sun, Y., Choi, W. M., Jiang, H., Huang, Y. Y., and Rogers, J. A., 2006, "Controlled Buckling of Semiconductor Nanoribbons for Stretchable Electronics," Nature Nanotechnol., 1(3), pp. 201-207.
23. Jiang, H., Khang, D. Y., Song, J., Sun, Y., Huang, Y., and Rogers, J. A., 2007, "Finite Deformation Mechanics in Buckled Thin Films on Compliant Supports," Proc. Natl. Acad. Sci., 104(40), pp. 15607-15612. (Pubitemid 350035346)
24. Efimenko, K., Rackaitis, M., Manias, E., Vaziri, A., Mahadevan, L., and Genzer, J., 2005, "Nested Self-Similar Wrinkling Patterns in Skins," Nature Mater., 4(4), pp. 293-297. (Pubitemid 40450208)
25. Stafford, C. M., Harrison, C., Beers, K. L., Karim, A., Amis, E. J., Vanlandingham, M. R., Kim, H. C., Volksen, W., Miller, R. D., and Simonyi, E. E., 2004, "A Buckling-Based Metrology for Measuring the Elastic Moduli of Polymeric Thin Films," Nature Mater., 3(8), pp. 545-550.
26. Brau, F., Vandeparre, H., Sabbah, A., Poulard, C., Boudaoud, A., and Damman, P., 2010, "Multiple-Length-Scale Elastic Instability Mimics Parametric Resonance of Nonlinear Oscillators," Nature Phys., 7(1), pp. 56-60.
27. Vella, D., Bico, J., Boudaoud, A., Roman, B., and Reis, P. M., 2009, "The Macroscopic Delamination of Thin Films From Elastic Substrates," Proc. Natl. Acad. Sci., 106(27), pp. 10901-10906.
28. Sun, J. Y., Xia, S., Moon, M. W., Oh, K. H., and Kim, K. S., 2012, "Folding Wrinkles of a Thin Stiff Layer on a Soft Substrate," Proc. R. Soc. A: Mathematical, Physical and Engineering Science, 468(2140), pp. 932-953.
29. Cao, Y., and Hutchinson, J. W., 2012, "Wrinkling Phenomena in Neo-Hookean Film/Substrate Bilayers," ASME J. Appl. Mech., 79(3), pp. 1019.
30. Zang, J., Ryu, S., Pugno, N., Wang, Q., Tu, Q., Buehler, M. J., and Zhao, X., 2013, "Multifunctionality and Control of the Crumpling and Unfolding of Large-Area Graphene," Nature Mater., 12(4), pp. 321-325.
31. Zang, J., Zhao, X., Cao, Y., and Hutchinson, J. W., 2012, "Localized Ridge Wrinkling of Stiff Films on Compliant Substrates," J. Mech. Phys. Solids, 60(7), pp. 1265-1279.
32. Diab, M., Zhang, T., Zhao, R., Gao, H., and Kim, K.-S., 2013, "Ruga Mechanics of Creasing: From Instantaneous to Setback Creases," Proc. R. Soc. A: Mathematical, Physical and Engineering Science, 469(2157), p. 20120753.
33. Hutchinson, J. W., 2013, "The Role of Nonlinear Substrate Elasticity in the Wrinkling of Thin Films," Philos. Trans. R. Soc. A: Mathematical, Physical and Engineering Sciences, 371(1993), p. 20120422.
34. Mei, H., Landis, C. M., and Huang, R., 2011, "Concomitant Wrinkling and Buckle-Delamination of Elastic Thin Films on Compliant Substrates," Mech. Mater., 43(11), pp. 627-642.
35. Ebata, Y., Croll, A. B., and Crosby, A. J., 2012, "Wrinkling and Strain Localizations in Polymer Thin Films," Soft Matter, 8(35), pp. 9086-9091.
36. Rogers, J. A., Someya, T., and Huang, Y., 2010, "Materials and Mechanics for Stretchable Electronics," Science, 327(5973), pp. 1603-1607.
37. Jiang, H., Khang, D. Y., Fei, H., Kim, H., Huang, Y., Xiao, J., and Rogers, J. A., 2008, "Finite Width Effect of Thin-Films Buckling on Compliant Substrate: Experimental and Theoretical Studies," J. Mech. Phys. Solids, 56(8), pp. 2585-2598.
38. Shivapooja, P., Wang, Q., Orihuela, B., Rittschof, D., López, G. P., and Zhao, X., 2013, "Bioinspired Surfaces With Dynamic Topography for Active Control of Biofouling," Adv. Mater., 25(10), pp. 1430-1434.
39. Hunt, G. W., Peletier, M. A., and Wadee, M. A., 2000, "The Maxwell Stability Criterion in Pseudo-Energy Models of Kink Banding," J. Struct. Geol., 22(5), pp. 669-681. (Pubitemid 30239547)
40. Thompson, J. M. T., and Hunt, G. W., 1984, Elastic Instability Phenomena, Wiley, Chichester, UK.
41. Zeeman, E. C., 1977, "Catastrophe Theory: Selected Papers, 1972-1977," Addison-Wesley, London.
42. Biot, M. A., 1965, Mechanics of Incremental Deformations: Theory of Elasticity and Viscoelasticity of Initially Stressed Solids and Fluids, Including Thermodynamic Foundations and Applications to Finite Strain, Wiley, New York.
43. Chater, E., and Hutchinson, J., 1984, "On the Propagation of Bulges and Buckles," ASME J. Appl. Mech., 51(2), pp. 269-277.
44. Zhao, X., Hong, W., and Suo, Z., 2007, "Electromechanical Hysteresis and Coexistent States in Dielectric Elastomers," Phys. Rev. B, 76(13), p. 134113.
45. Huang, R., and Suo, Z., 2012, "Electromechanical Phase Transition in Dielectric Elastomers," Proc. R. Soc. A: Mathematical, Physical and Engineering Science, 468(2140), pp. 1014-1040.
46. Hunt, G. W., Peletier, M. A., Champneys, A. R., Woods, P. D., Ahmer Wadee, M., Budd, C. J., and Lord, G., 2000, "Cellular Buckling in Long Structures," Nonlinear Dyn., 21(1), pp. 3-29. (Pubitemid 30556689)
47. Zhao, X., 2012, "A Theory for Large Deformation and Damage of Interpenetrating Polymer Networks," J. Mech. Phys. Solids, 60(2), pp. 319-332.
48. Williams, J., 1997, "Energy Release Rates for the Peeling of Flexible Membranes and the Analysis of Blister Tests," Int. J. Fracture, 87(3), pp. 265-288. (Pubitemid 128691556)
49. Kendall, K., 1971, "The Adhesion and Surface Energy of Elastic Solids," J. Phys. D: Appl. Phys., 4(8), pp. 1186.
50. Wang, Q., Suo, Z., and Zhao, X., 2012, "Bursting Drops in Solid Dielectrics Caused by High Voltages," Nature Commun., 3, pp. 1157.
51. Biot, M., 1963, "Surface Instability of Rubber in Compression," Appl. Sci. Res., 12(2), pp. 168-182.
52. Allen, H. G., 1969, Analysis and Design of Structural Sandwich Panels, Pergamon, Oxford, UK.
53. Hohlfeld, E., and Mahadevan, L., 2011, "Unfolding the Sulcus," Phys. Rev. Lett., 106(10), pp. 105702.
54. Hohlfeld, E., and Mahadevan, L., 2012, "Scale and Nature of Sulcification Patterns," Phys. Rev. Lett., 109(2), pp. 25701.
55. Hong, W., Zhao, X., and Suo, Z., 2009, "Formation of Creases on the Surfaces of Elastomers and Gels," Appl. Phys. Lett., 95(11), p. 111901.
56. Wong, W., Guo, T., Zhang, Y., and Cheng, L., 2010, "Surface Instability Maps for Soft Materials," Soft Matter, 6(22), pp. 5743-5750.
57. Wang, Q., and Zhao, X., 2013, "Creasing-Wrinkling Transition in Elastomer Films Under Electric Fields," Phys. Rev. E, 88(4), p. 042403.
58. Hutchinson, J., and Suo, Z., 1992, "Mixed Mode Cracking in Layered Materials," Adv. Appl. Mech., 29, pp. 63-191.
59. Yu, H. H., and Hutchinson, J. W., 2002, "Influence of Substrate Compliance on Buckling Delamination of Thin Films," Int. J. Fracture, 113(1), pp. 39-55. (Pubitemid 34156128)
60. Li, B., Cao, Y.-P., Feng, X.-Q., and Gao, H., 2012, "Mechanics of Morphological Instabilities and Surface Wrinkling in Soft Materials: A Review," Soft Matter, 8(21), pp. 5728-5745.
61. Kang, M. K., and Huang, R., 2010, "Swell-Induced Surface Instability of Confined Hydrogel Layers on Substrates," J. Mech. Phys. Solids, 58(10), pp. 1582-1598.
62. Wu, Z., Bouklas, N., and Huang, R., 2013, "Swell-Induced Surface Instability of Hydrogel Layers with Material Properties Varying in Thickness Direction," Int. J. Solids Struct., 50(3-4), pp. 578-587.
63. Hutchinson, J., He, M., and Evans, A., 2000, "The Influence of Imperfections on the Nucleation and Propagation of Buckling Driven Delaminations," J. Mech. Phys. Solids, 48(4), pp. 709-734. (Pubitemid 30573935)
64. Tallinen, T., Biggins, J., and Mahadevan, L., 2013, "Surface Sulci in Squeezed Soft Solids," Phys. Rev. Lett., 110(2), pp. 024302.
65. Huang, Z., Hong, W., and Suo, Z., 2005, "Nonlinear Analyses of Wrinkles in a Film Bonded to a Compliant Substrate," J. Mech. Phys. Solids, 53(9), pp. 2101-2118. (Pubitemid 40952693)
66. Breid, D., and Crosby, A. J., 2011, "Effect of Stress State on Wrinkle Morphology," Soft Matter, 7(9), pp. 4490-4496.
67. Lin, P.-C., and Yang, S., 2007, "Spontaneous Formation of One-Dimensional Ripples in Transit to Highly Ordered Two-Dimensional Herringbone Structures Through Sequential and Unequal Biaxial Mechanical Stretching," Appl. Phys. Lett., 90(24), p. 241903.
68. Audoly, B., and Boudaoud, A., 2008, "Buckling of a Stiff Film Bound to a Compliant Substrate-Part I: Formulation, Linear Stability of Cylindrical Patterns, Secondary Bifurcations," J. Mech. Phys. Solids, 56(7), pp. 2401-2421.
69. Audoly, B., and Boudaoud, A., 2008, "Buckling of a Stiff Film Bound to a Compliant Substrate-Part II: A Global Scenario for the Formation of Herringbone Pattern," J. Mech. Phys. Solids, 56(7), pp. 2422-2443.
70. Audoly, B., and Boudaoud, A., 2008, "Buckling of a Stiff Film Bound to a Compliant Substrate-Part III: Herringbone Solutions at Large Buckling Parameter," J. Mech. Phys. Solids, 56(7), pp. 2444-2458.
71. Song, J., Jiang, H., Choi, W., Khang, D., Huang, Y., and Rogers, J., 2008, "An Analytical Study of Two-Dimensional Buckling of Thin Films on Compliant Substrates," J. Appl. Phys., 103(1), p. 014303.
72. Genzer, J., and Groenewold, J., 2006, "Soft Matter with Hard Skin: From Skin Wrinkles to Templating and Material Characterization," Soft Matter, 2(4), pp. 310-323.