Numerical study of the wrinkling of a stretched thin sheet

International Journal of Solids and Structures

Volumn 49, Issue 5, 2012, Pages 771-782

  Kim, Tae Yeon ^a   Puntel, Eric ^b   Fried, Eliot ^a  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF UDINE   (Italy)

Author keywords

B splines; Buckling; Finite element method; Thin films; Wrinkles

Indexed keywords

ANALYTICAL PREDICTIONS; ANALYTICAL RESULTS; B SPLINES; DIFFERENT BOUNDARY CONDITION; ENERGY FUNCTIONALS; FOURTH ORDER; LATERAL CONTRACTION; NUMERICAL RESULTS; NUMERICAL STUDIES; SCALING RELATIONSHIPS; SEMI-ANALYTICAL SOLUTION; THIN SHEET; VARIATIONAL MODELS; WRINKLE AMPLITUDES; WRINKLES;

ASPECT RATIO; BOUNDARY CONDITIONS; BUCKLING; FORECASTING; INTERPOLATION; TENSILE STRAIN; THIN FILMS;

NUMERICAL METHODS;

EID: 84856089132     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.11.018     Document Type: Article

References (35)

1. K. Burton, and D.L. Taylor Traction forces of cytokinesis measured with optically modified elastic substrata Nature 385 1997 450 454 (Pubitemid 27065932)
2. E. Cerda Mechanics of scars J. Biomech. 38 2005 1598 1603 (Pubitemid 40813482)
3. E. Cerda, and L. Mahadevan Geometry and physics of wrinkling Phys. Rev. Lett. 90 2003 1 4
4. E. Cerda, K. Ravi-Chandar, and L. Mahadevan Thin films: wrinkling of an elastic sheet under tension Nature 419 2002 579 580
5. J.Y. Chung, T.Q. Chastek, M.J. Fasolka, H.W. Ro, and C.M. Stafford Quantifying residual stress in nanoscale thin polymer films via surface wrinkling ACS Nano 3 2009 844 852
6. P. Contri, and B.A. Schrefler A geometrically nonlinear finite element analysis of wrinkled membrane surfaces by a no-compression material model Commun. Appl. Numer. Methods 4 1988 5 15 (Pubitemid 18549618)
7. A. Embar, J. Dolbow, and I. Harari Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements Int. J. Numer. Methods Eng. 83 2010 877 898
8. M. Epstein Differential equation for the amplitude of wrinkles AIAA Journal 41 2003 327 329
9. F. Fischer, F. Rammerstorfer, N. Friedl, and W. Wieser Buckling phenomena related to rolling and levelling of sheet metal Int. J. Mech. Sci. 42 2000 1887 1910
10. N. Friedl, F.G. Rammerstorfer, and F.D. Fischer Buckling of stretched strips Comput. Struct. 78 2000 185 190
11. G.A. Georgeu, and D. Ross Wounds and scars Surgery 20 2002 139 141
12. A.K. Harris, P. Wild, and D. Stopak Silicone rubber substrata a new wrinkle in the study of cell locomotion Science 208 1980 177 179 (Pubitemid 10072133)
13. S.O.P. Hofer, and M.A.M. Mureau Improving outcomes in aesthetic facial reconstruction Clin. Plast. Surg. 36 2009 345 354
14. D.A. Hudson, and A. Renshaw An algorithm for the release of burn contractures of the extremities Burns 32 2006 663 668 (Pubitemid 44308678)
15. C.H. Jenkins, V.D. Kalanovic, K. Padmanabhan, and S.M. Faisal Intelligent shape control for precision membrane antennae and reflectors in space Smart Mater. Struct. 8 1999 857 867
16. B. Kolaric, H. Vandeparre, S. Desprez, R.A.L. Vallee, and P. Damman In situ tuning the optical properties of a cavity by wrinkling Appl. Phys. Lett. 96 2010 043119
17. T.A. Laursen Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis 2002 Springer Berlin
18. Leifer, J.; Belvin, W.K.; 2003. Prediction of wrinkle amplitudes in thin film membranes using finite element modeling. In: 44th AIAA/ASME/ASCE/-AHS/ASC Structures, Structural Dynamics and Materials Conference, Norfolk, VA, 710 April, AIAA 2003-1983.
19. X. Liu, C.H. Jenkins, and W.W. Schur Fine scale analysis of wrinkled membranes Int. J. Comput. Eng. Sci. 1 2000 281 298
20. D.A. Lott-Crumpler, and H.R. Chaudhry Optimal patterns for suturing wounds of complex shapes to foster healing J. Biomech. 34 2001 51 58
21. R.K. Miller, and J.M. Hedgepeth An algorithm for finite element analysis of partly wrinkled membranes AIAA J. 20 1982 1761 1763
22. R.K. Miller, J.M. Hedgepeth, V.I. Weingarten, P. Das, and S. Kahyai Finite element analysis of partly wrinkled membranes Comput. Struct. 20 1985 631 639
23. V. Nayyar, K. Ravi-Chandar, and R. Huang Stretch-induced stress patterns and wrinkles in hyperelastic thin sheets Int. J. Solids Struct. 48 2011 3471 3483
24. T. Ohzono, H. Monobe, K. Shiokawa, M. Fujiwara, and Y. Shimizu Shaping liquid on a micrometre scale using microwrinkles as deformable open channel capillaries Soft Matter 5 2009 4658 4664
25. L. Piegl, and W. Tiller The NURBS Book 1997 Springer Berlin
26. E. Puntel, L. Deseri, and E. Fried Wrinkling of a stretched thin sheet J. Elast. 105 2011 137 170
27. C.M. Stafford, C. Harrison, K.L. Beers, A. Karim, E.J. Amis, M.R. Vanlandingham, H.-C. Kim, W. Volksen, R.D. Miller, and E. Simonyi A buckling-based metrology for measuring the elastic moduli of polymeric thin films Nat. Mater. 3 2004 545 550
28. D.J. Steigmann Tension-field theory Proc. Roy. Soc. Lond. A Mater. 429 1990 141 173
29. A. Tessler, D.W. Sleight, and J.T. Wang Effective modeling and nonlinear shell analysis of thin membranes exhibiting structural wrinkling J. Spacecr. Rockets 42 2005 287 298 (Pubitemid 40611837)
30. Y. Tomita, and A. Shindo Onset and growth of wrinkles in thin square plates subjected to diagonal tension Int. J. Mech. Sci. 30 1988 921 931
31. K. Ueda, M. Hara, M. Okada, N. Kurokawa, K. Otani, and T. Nuri Lambda incision for effective tissue expansion J. Plast. Reconstr. Aesthet. Surg. 2009 10.1016/j.bjps.2009.09.015
32. Y.W. Wong, and S. Pellegrino Wrinkled membranes PART I: experiments J. Mech. Mater. Struct. 1 2006 3 25
33. Y.W. Wong, and S. Pellegrino Wrinkled membranes PART II: analytical models J. Mech. Mater. Struct. 1 2006 27 61
34. Y.W. Wong, and S. Pellegrino Wrinkled membranes PART III: numerical simulations J. Mech. Mater. Struct. 1 2006 63 95
35. Zheng, L.; 2009. Wrinkling of Dielectric Elastomer Membranes. Ph.D. Thesis. California Institute of Technology.