Buckling of a stiff film bound to a compliant substrate-Part I:. Formulation, linear stability of cylindrical patterns, secondary bifurcations

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 7, 2008, Pages 2401-2421

  Audoly, Basile ^a   Boudaoud, Arezki ^b  

^a INSTITUT JEAN LE ROND D ALEMBERT   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

Asymptotic analysis; Buckling; Energy methods; Plates; Thermal stress

Indexed keywords

ASYMPTOTIC ANALYSIS; BIFURCATION (MATHEMATICS); BUCKLING; COMPRESSIVE STRESS; FUNCTION EVALUATION; LINEAR STABILITY ANALYSIS; THERMAL STRESS;

ENERGY METHODS; STIFF FILMS;

THIN FILMS;

EID: 43049154807     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2008.03.003     Document Type: Article

References (20)

1. H.G. Allen Analysis and Design of Structural Sandwich Panels 1969 Pergamon Press New York
2. B. Audoly Stability of straight delamination blisters Phys. Rev. Lett. 83 1999 4124 4127
3. Audoly, B., Boudaoud, A., 2008a. Buckling of a thin film bound to a compliant substrate—Part II: A global scenario for the formation of herringbone pattern. J. Mech. Phys. Solids, in press, doi: 10.1016/j.jmps.2008.03.002 .
4. Audoly, B., Boudaoud, A., 2008b. Buckling of a thin film bound to a compliant substrate—Part III. Herringbone solutions at large buckling parameter. J. Mech. Phys. Solids, in press, doi: 10.1016/j.jmps.2008.03.001 .
5. B. Audoly Y. Pomeau Elasticity and Geometry: From Hair Curls to the Nonlinear Response of Shells 2008 Oxford University Press Oxford
6. B. Audoly B. Roman A. Pocheau Secondary buckling patterns of a thin plate under in-plane compression Eur. Phys. J. B 27 2002 7 10
7. N. Bowden S. Brittain A.G. Evans J.W. Hutchinson G.M. Whitesides Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer Nature 393 1998 146 149
8. X. Chen J.W. Hutchinson Herringbone buckling patterns of compressed thin films on compliant substrates J. Appl. Mech. 71 2004 597 603
9. J. Genzer J. Groenewold Soft matter with hard skin from skin: wrinkles to templating and material characterization Soft Matter 2 2006 310 323
10. R. Huang Kinetic wrinkling of an elastic film on a viscoelastic substrate J. Mech. Phys. Solids 53 2005 63 89
11. Z. Huang W. Hong Z. Suo Evolution of wrinkles in hard films on soft substrates Phys. Rev. E (Stat. Nonlinear Soft Matter Phys.) 70 2004 030601
12. Z.Y. Huang W. Hong Z. Suo Nonlinear analyses of wrinkles in a film bonded to a compliant substrate J. Mech. Phys. Solids 53 2005 2101 2118
13. W. Huck N. Bowden P. Onck T. Pardoen J. Hutchinson G. Whitesides Ordering of spontaneously formed buckles on planar surfaces Langmuir 16 2000 3497 3501
14. H.M. Jensen Energy release rates and stability of straight-sided, thin-film delaminations Acta Metall. Mater. 41 1993 601 607
15. L. Mahadevan S. Rica Self-organized origami Science 307 2005 1740
16. P. Manneville Dissipative structures and weak turbulence 1990 Perspectives in Physics, Academic Press, Inc. San Diego, CA
17. T. Ohzono M. Shimomura Effect of thermal annealing and compression on the stability of microwrinkle patterns Phys. Rev. E (Stat. Nonlinear Soft Matter Phys.) 72 2005 025203
18. Sultan, E., Boudaoud, A., 2007. The buckling of a swollen thin gel layer bound to a compliant substrate. J. Appl. Mech., in press.
19. S. Timoshenko J.M. Gere Theory of Elastic Stability second ed. 1961 MacGraw-Hill New York
20. P.J. Yoo K.Y. Suh S.Y. Park H.H. Lee Physical self-assembly of microstructures by anisotropic buckling Adv. Mater. 14 2002 1383 1387