Spontaneous instability of soft thin films on curved substrates due to van der Waals interaction

Journal of the Mechanics and Physics of Solids

Volumn 59, Issue 3, 2011, Pages 610-624

  Li, Bo ^a   Zhao, Hong Ping ^a   Feng, Xi Qiao ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Soft matter; Surface effect; Surface instability; Thin film; Van der Waals force

Indexed keywords

CRITICAL CONDITION; CURVED SUBSTRATES; ELECTROSTATIC INTERACTIONS; GENERIC METHOD; GEOMETRIC CONFIGURATIONS; GEOMETRICAL PROPERTY; LINEAR BIFURCATION; MEAN CURVATURE; NANO PATTERN; SOFT MATTER; SOFT THIN FILMS; SOLID SURFACE; SPONTANEOUS INSTABILITY; SUBSTRATE CURVATURE; SURFACE EFFECT; SURFACE ENERGIES; SURFACE INSTABILITY; SURFACE STABILITY; VAN DER WAALS; VAN DER WAALS INTERACTIONS;

BIFURCATION (MATHEMATICS); MECHANICAL PROPERTIES; STABILITY; SUBSTRATES; SURFACE CHEMISTRY; THIN FILMS; VAN DER WAALS FORCES;

SURFACE PROPERTIES;

EID: 79551690337     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2010.12.009     Document Type: Article

References (59)

1. B. Audoly, and A. Boudaoud Buckling of a stiff film bound to a compliant substratePart I: formulation, linear stability of cylindrical patterns, secondary bifurcations J. Mech. Phys. Solids 56 2008 2401 2421
2. M. Ben Amar, and A. Goriely Growth and instability in elastic tissues J. Mech. Phys. Solids 53 2005 2284 2319
3. M. Ben Amar, and P. Ciarletta Swelling instability of surface-attached gels as a model of soft tissue growth under geometric constraints J. Mech. Phys. Solids 58 2010 935 954
4. A. Boudaoud An introduction to the mechanics of morphogenesis for plant biologists Trends Plant Sci. 15 2010 353 360
5. G. Cao, X. Chen, C. Li, A. Ji, and Z. Cao Self-assembled triangular and labyrinth buckling patterns of thin films on spherical substrates Phys. Rev. Lett. 100 2008 036102
6. E. Cerda, and L. Mahadevan Geometry and physics of wrinkling Phys. Rev. Lett. 90 2003 074302
7. X. Chen, and J.W. Hutchinson Herringbone buckling patterns of compressed thin films on compliant substrates J. Appl. Mech. 71 2004 597 603
8. S. Chou, L. Zhuang, and L. Guo Lithographically induced self-construction of polymer microstructures for resistless patterning Appl. Phys. Lett. 75 1999 1004 1006
9. J. Colin Morphological instability of stressed spherical particles growing by diffusion in a matrix Phys. Rev. B 71 2005 165403
10. J. Colin Morphological instability of two stressed spherical shells Int. J. Solids Struct. 44 2007 3218 3230
11. H.L. Duan, J. Weissmller, and Y. Wang Instabilities of core-shell heterostructured cylinders due to diffusions and epitaxy: spheroidization and blossom of nanowires J. Mech. Phys. Solids 56 2008 1831 1851
12. K. Efimenko, M. Rackaitis, E. Manias, A. Vaziri, L. Mahadevan, and J. Genzer Nested self-similar wrinkling patterns in skins Nat. Mater. 4 2005 293 297
13. X.Q. Feng, X.F. Gao, Z.N. Wu, L. Jiang, and Q.S. Zheng Superior water repellence of water strider legs with hierarchical structures: experiments and analysis Langmuir 23 2007 4892 4896
14. H. Gao Some general properties of stress-driven surface evolution in a heteroepitaxial thin film structure J. Mech. Phys. Solids 42 1994 741 772
15. H. Gao, and W.D. Nix Surface roughening of heteroepitaxial thin films Annu. Rev. Mater. Sci. 29 1999 173 209
16. J. Genzer, and J. Groenewold Soft matter with hard skin: from skin wrinkles to templating and material characterization Soft Matter 2 2006 310 323
17. W. Haiss Surface stress of clean and adsorbate-covered solids Rep. Prog. Phys. 64 2001 591 648
18. H.C. Hamaker The Londonvan der Waals attraction between spherical particles Physica 4 1937 1058 1072
19. C. Harrison, C.M. Stafford, W.H. Zhang, and A. Karim Sinusoidal phase grating created by a tunably buckled surface Appl. Phys. Lett. 85 2004 4016 4018
20. X.Q. He, S. Kitipornchai, and K.M. Liew Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction J. Mech. Phys. Solids 53 2005 303 326
21. S. Herminghaus Dynamical instability of thin liquid films between conducting media Phys. Rev. Lett. 83 1999 2359 2361
22. R. Huang Kinetic wrinkling of an elastic film on a viscoelastic substrate J. Mech. Phys. Solids 53 2005 63 89
23. J. Huang, M. Juszkiewicz, W. de Jeu, E. Cerda, T. Emrick, N. Menon, and T.P. Russell Capillary wrinkling of floating thin polymer films Science 317 2007 650 653
24. S.Q. Huang, Q.Y. Li, X.Q. Feng, and S.W. Yu Pattern instability of a soft elastic thin film under van der Waals forces Mech. Mater. 38 2006 88 99
25. S.Q. Huang, B. Li, and X.Q. Feng Three-dimensional analysis of spontaneous surface instability and pattern formation of thin soft films J. Appl. Phys. 103 2008 083501
26. Z.Y. Huang, W. Hong, and Z. Suo Nonlinear analyses of wrinkles in a film bonded to a compliant substrate J. Mech. Phys. Solids 53 2005 2101 2118
27. S.H. Im, and R. Huang Wrinkle patterns of anisotropic crystal films on viscoelastic substrates J. Mech. Phys. Solids 56 2008 3315 3330
28. H. Jiang, D.Y. Khang, H. Fei, H. Kim, Y. Huang, J. Xiao, and J.A. Rogers Finite width effect of thin-films buckling on compliant substrate: experimental and theoretical studies J. Mech. Phys. Solids 56 2008 2585 2598
29. D.Y. Khang, H. Jiang, Y. Huang, and J.A. Rogers A stretchable form of single-crystal silicon for high-performance electronics on rubber substrates Science 311 2006 208 212
30. F.M. Kolb, H. Hofmeister, M. Zacharias, and U. Gsele On the morphological instability of silicon/silicon dioxide nanowires Appl. Phys. A 80 2005 1405 1408
31. R.V. Kukta, and L.B. Freund Minimum energy configuration of epitaxial material clusters on a lattice-mismatched substrate J. Mech. Phys. Solids 45 1997 1835 1860
32. L.D. Landau, and E.M. Lifshitz Theory of Elasticity 1970 Pergamon London
33. P.H. Leo, J. Alexander, D. Iwan, and R.F. Sekerka Elastic fields about a perturbed spherical inclusion Acta Metall. 33 1985 985 989
34. B. Li, X.Q. Feng, Y. Li, and G.F. Wang Morphological instability of spherical soft particles induced by surface charges Appl. Phys. Lett. 95 2009 021903
35. B. Li, S.Q. Huang, and X.Q. Feng Buckling and postbuckling of a compressed thin film bonded on a soft elastic layer: a three-dimensional analysis Arch. Appl. Mech. 80 2010 175 188
36. B. Li, Y.P. Cao, and X.Q. Feng Growth and surface folding of esophageal mucosa: a biomechanical model J. Biomech. 44 2011 182 188
37. R.W. Little Elasticity 1973 Prentice-Hall Englewood Cliffs, New Jersey
38. W. Lu, and Z. Suo Dynamics of nanoscale pattern formation of an epitaxial monolayer J. Mech. Phys. Solids 49 2001 1937 1950
39. W. Lu, and Z. Suo Symmetry breaking in self-assembled monolayers on solid surfaces: anisotropic surface stress Phys. Rev. B 65 2002 85401 85409
40. P.C. Matthews Pattern formation on a sphere Phys. Rev. E 67 2003 036206
41. H. Møllmann Introduction to the Theory of Thin Shells 1981 Wiley New York
42. J.O. Park, A.D. Rey, and M. Srinivasarao Non-classical scaling for forced wetting of a nematic fluid on a polymeric fiber Soft Matter 5 2009 2277 2280
43. J. Sarkar, A. Sharma, and V. Shenoy Electric-field induced instabilities and morphological phase transitions in soft elastic films Phys. Rev. E 77 2008 031604
44. M. Sbragaglia, R. Benzi, L. Biferale, S. Succi, and F. Toschi Surface roughnesshydrophobicity coupling in microchannel and nanochannel flows Phys. Rev. Lett. 97 2006 204503
45. E. Schffer, T. Thurn-Albrecht, T.P. Russell, and U. Steiner Electrically induced structure formation and pattern transfer Nature 403 2000 874 877
46. V. Schmidt, P.C. McIntyre, and U. Gsele Morphological instability of misfit-strained core-shell nanowires Phys. Rev. B 77 2008 235302
47. V. Shenoy, and A. Sharma Pattern formation in a thin solid film with interactions Phys. Rev. Lett. 86 2001 119 122
48. V. Shenoy, and A. Sharma Stability of a thin elastic film interacting with a contactor J. Mech. Phys. Solids 50 2002 1155 1173
49. B.J. Spencer, P.W. Voorhees, and S.H. Davis Morphological instability in epitaxially strained dislocation-free solid films Phys. Rev. Lett. 67 1991 3696 3699
50. C.M. Stafford, C. Harrison, and K. Beers A buckling-based metrology for measuring the elastic moduli of polymeric thin films Nat. Mater. 3 2004 545 550
51. N. Tsapis, E.R. Dufresne, S.S. Sinha, C.S. Riera, J.W. Hutchinson, L. Mahadevan, and D.A. Weitz Onset of buckling in drying droplets of colloidal suspensions Phys. Rev. Lett. 94 2005 018302
52. G.F. Wang, P. Schiavone, and C.Q. Ru Surface instability of a semi-infinite harmonic solid under van der Waals attraction Acta Mech. 180 2005 1 10
53. L. Wang, C.L. Pai, M.C. Boyce, and G.C. Rutledge Wrinkled surface topographies of electrospun polymer fibers Appl. Phys. Lett. 94 2009 151916
54. X.F. Wu, Y.Y. Kostogorova-Beller, A.V. Goponenko, H. Hou, and Y.A. Dzenis Rippling of polymer nanofibers Phys. Rev. E 78 2008 061804
55. R. Xie, A. Karim, J.F. Douglas, C.C. Han, and R.A. Weiss Spinodal dewetting of thin polymer films Phys. Rev. Lett. 81 1998 1251 1254
56. J. Ye, B. Van der Broek, R. De Palma, W. Libaers, K. Clays, W. Van Roy, G. Borghs, and G. Maes Surface morphology changes on silica-coated gold colloids Colloids Surf. A 322 2008 225 233
57. J. Yin, E. Bar-Kochba, and X. Chen Mechanical self-assembly fabrication of gears Soft Matter 5 2009 3469 3474
58. J. Yin, X. Chen, and I. Sheinman Anisotropic buckling patterns in spheroidal film/substrate systerm and their implications in some natural and biological systerms J. Mech. Phys. Solids 57 2009 1470 1484
59. J. Yoon, C.Q. Ru, and A. Mioduchowski Surface instability of a bilayer elastic film due to surface van der Waals forces J. Appl. Phys. 98 2005 113503