Swell-induced surface instability of hydrogel layers with material properties varying in thickness direction

International Journal of Solids and Structures

Volumn 50, Issue 3-4, 2013, Pages 578-587

  Wu, Zhigen ^a   Bouklas, Nikolaos ^b   Huang, Rui ^b  

^a HEFEI UNIVERSITY OF TECHNOLOGY   (China)

^b The University of Texas at Austin   (United States)

Author keywords

Creasing; Hydrogel; Surface instability; Wrinkling

Indexed keywords

BI-LAYER; COMPLIANT SUBSTRATES; CREASING; CRITICAL CONDITION; ELASTIC THIN FILMS; EXPERIMENTAL STUDIES; FINITE WAVELENGTH; HOMOGENEOUS LAYERS; HYDROGEL LAYERS; INSTABILITY MODES; LIMITING CASE; MATERIAL PROPERTY; RIGID SUBSTRATES; SHORT WAVES; SMOOTH TRANSITIONS; STABILITY ANALYSIS; SURFACE INSTABILITY; SURFACE PATTERN; SWELLING RATIO; THICKNESS DIRECTION; WRINKLING;

HYDROGELS; TEXTILE PRINTING; THIN FILMS;

POLYPEPTIDES;

EID: 84871429180     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.10.022     Document Type: Article

References (39)

1. B. Audoly, and A. Boudaoud 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 2008 2401 2421
2. 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
3. M.A. Biot Surface instability of rubber in compression Appl. Sci. Res. A 12 1963 168 182
4. N. Bouklas, and R. Huang Swelling kinetics of polymer gels: comparison of linear and nonlinear theories Soft Matter 8 2012 8194 8203
5. Y. Cao, and J.W. Hutchinson From wrinkles to creases in elastomers: the instability and imperfection-sensitivity of wrinkling Proc. Royal Soc. A 468 2012 94 115
6. Y. Cao, and J.W. Hutchinson Wrinkling phenomena in Neo-Hookean film/substrate bilayers J. Appl. Mech. 79 2012 031019
7. Y.-P. Cao, B. Li, and X.-Q. Feng Surface wrinkling and folding of core-shell soft cylinders Soft Matter 8 2012 556 562
8. X. Chen, and J.W. Hutchinson Herringbone buckling patterns of compressed thin films on compliant substrates J. Appl. Mech. 71 2004 597 603 (Pubitemid 40122552)
9. J. Dervaux, and M. Ben Amar Buckling condensation in constrained growth J. Mech. Phys. Solids 59 2011 538 560
10. J. Dervaux, Y. Couder, M.-A. Guedeau-Boudeville, and M. Ben Amar Shape transition in artificial tumors: from smooth buckles to singular creases Phys. Rev. Lett. 107 2011 018103
11. P.J. Flory Thermodynamics of high polymer solutions J. Chem. Phys. 10 1942 51 61
12. P.J. Flory, and J. Rehner Jr. Statistical mechanics of cross-linked polymer networks. I. Rubberlike elasticity J. Chem. Phys. 11 1943 512 520
13. P.J. Flory, and J. Rehner Jr. Statistical mechanics of cross-linked polymer networks. II. Swelling J. Chem. Phys. 11 1943 521 526
14. A.N. Gent, and I.S. Cho Surface instabilities in compressed or bent rubber blocks Rubber Chem. Technol. 72 1999 253 262 (Pubitemid 33601135)
15. M.H. Godinho, A.C. Trindade, J.L. Figueirinhas, L.V. Melo, P. Brogueira, and A.M. Deus Tuneable micro- and nano-periodic structures in a free-standing flexible urethane/urea elastomer film Eur. Phys. J. E 21 2006 319 330 (Pubitemid 46327478)
16. M. Guvendiren, S. Yang, and J.A. Burdick Swelling-induced surface patterns in hydrogels with gradient crosslinking density Adv. Funct. Mater. 19 2009 3038 3045
17. M. Guvendiren, J.A. Burdick, and S. Yang Kinetic study of swelling-induced surface pattern formation and ordering in hydrogel films with depth-wise crosslinking gradients Soft Matter 6 2010 2044 2049
18. M. Guvendiren, J.A. Burdick, and S. Yang Solvent induced transition from wrinkles to creases in thin film gels with depth-wise crosslinking gradients Soft Matter 6 2010 5795 5801
19. E. Hohlfeld, and L. Mahadevan Unfolding the sulcus Phys. Rev. Lett. 106 2011 105702
20. W. Hong, Z. Liu, and Z. Suo Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load Int. J. Solids Struct. 46 2009 3282 3289
21. W. Hong, X. Zhao, and Z. Suo Formation of creases on the surfaces of elastomers and gels Appl. Phys. Lett. 95 2009 111901
22. W. Hong, X. Zhao, J. Zhou, and Z. Suo A theory of coupled diffusion and large deformation in polymeric gels J. Mech. Phys. Solids 56 2008 1779 1793
23. R. Huang Kinetic wrinkling of an elastic film on a viscoelastic substrate J. Mech. Phys. Solids 53 2005 63 89
24. 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 (Pubitemid 40952693)
25. M.L. Huggins Solutions of long chain compounds J. Chem. Phys. 9 1941 440
26. M.K. Kang, and R. Huang A variational approach and finite element implementation for swelling of polymeric hydrogels under geometric constraints J. Appl. Mech. 77 2010 061004
27. M.K. Kang, and R. Huang Swell-induced surface instability of confined hydrogel layers on substrates J. Mech. Phys. Solids 58 2010 1582 1598
28. M.K. Kang, and R. Huang Effect of surface tension on swell-induced surface instability of substrate-confined hydrogel layers Soft Matter 6 2010 5736 5742
29. D. Lee, N. Triantafyllidis, J.R. Barber, and M.D. Thouless Surface instability of an elastic half space with material properties varying with depth J. Mech. Phys. Solids 56 2008 858 868 (Pubitemid 351248892)
30. A. Onuki Theory of pattern formation in gels: surface folding in highly compressible elastic bodies Phys. Rev. A 39 1989 5932 5948
31. E. Southern, and A.G. Thomas Effect of constraints on the equilibrium swelling of rubber vulcanizates J. Polym. Sci. A 3 1965 641 646
32. E. Sultan, and A. Boudaoud The buckling of a swollen thin gel layer bound to a compliant substrate J. Appl. Mech. 75 2008 051002
33. H. Tanaka, H. Tomita, A. Takasu, T. Hayashi, and T. Nishi Morphological and kinetic evolution of surface patterns in gels during the swelling process: evidence of dynamic pattern ordering Phys. Rev. Lett. 68 1992 2794 2797
34. T. Tanaka, S.-T. Sun, Y. Hirokawa, S. Katayama, J. Kucera, and Y. Hirose Mechanical instability of gels at the phase transition Nature 325 1987 796 798
35. L.R.G. Treloar The Physics of Rubber Elasticity 1958 Oxford University Press
36. V. Trujillo, J. Kim, and R.C. Hayward Creasing instability of surface-attached hydrogels Soft Matter 4 2008 564 569 (Pubitemid 351304314)
37. S.S. Velankar, V. Lai, and R.A. Vaia Swelling-induced delamination causes folding of surface-tethered polymer gels ACS Appl. Mater. Interf. 4 2012 24 29
38. Weiss, F.; Cai, S.; Hu, Y.; Kang, M.K.; Huang, R.; Suo, Z.; Submitted. Creases and wrinkles on the surface of a swollen gel.
39. W.H. Wong, T.F. Guo, Y.W. Zhang, and L. Cheng Surface instability maps for soft materials Soft Matter 6 2010 5743 5750