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Volumn 51, Issue 21-22, 2014, Pages 3619-3632

3D finite element modeling for instabilities in thin films on soft substrates

Author keywords

Bifurcation; Herringbone pattern; Path following technique; Post buckling; Thin film; Wrinkling

Indexed keywords

BUCKLING; FINITE ELEMENT METHOD; SPOT WELDING; THIN FILMS;

EID: 84906945952     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2014.06.023     Document Type: Article
Times cited : (64)

References (49)
  • 2
    • 43049154807 scopus 로고    scopus 로고
    • Buckling of a stiff film bound to a compliant substrate-Part I: Formulation, linear stability of cylindrical patterns, secondary bifurcations
    • 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
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 2401-2421
    • Audoly, B.1    Boudaoud, A.2
  • 3
    • 43049154808 scopus 로고    scopus 로고
    • Buckling of a stiff film bound to a compliant substrate-Part II: A global scenario for the formation of herringbone pattern
    • B. Audoly, and A. Boudaoud 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 2008 2422 2443
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 2422-2443
    • Audoly, B.1    Boudaoud, A.2
  • 4
    • 43049165772 scopus 로고    scopus 로고
    • Buckling of a stiff film bound to a compliant substrate-Part III: Herringbone solutions at large buckling parameter
    • B. Audoly, and A. Boudaoud Buckling of a stiff film bound to a compliant substrate-Part III: herringbone solutions at large buckling parameter J. Mech. Phys. Solids 56 2008 2444 2458
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 2444-2458
    • Audoly, B.1    Boudaoud, A.2
  • 5
    • 0038537230 scopus 로고    scopus 로고
    • On the behaviour of the ANM continuation in the presence of bifurcations
    • S. Baguet, and B. Cochelin On the behaviour of the ANM continuation in the presence of bifurcations Commun. Numer. Methods Eng. 19 2003 459 471
    • (2003) Commun. Numer. Methods Eng. , vol.19 , pp. 459-471
    • Baguet, S.1    Cochelin, B.2
  • 7
    • 3242876412 scopus 로고    scopus 로고
    • Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants
    • E.H. Boutyour, H. Zahrouni, M. Potier-Ferry, and M. Boudi Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants Int. J. Numer. Methods Eng. 60 2004 1987 2012
    • (2004) Int. J. Numer. Methods Eng. , vol.60 , pp. 1987-2012
    • Boutyour, E.H.1    Zahrouni, H.2    Potier-Ferry, M.3    Boudi, M.4
  • 8
    • 0032516193 scopus 로고    scopus 로고
    • Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer
    • N. Bowden, S. Brittain, A.G. Evans, J.W. Hutchinson, and G.M. Whitesides Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer Nature 393 1998 146 149
    • (1998) Nature , vol.393 , pp. 146-149
    • Bowden, N.1    Brittain, S.2    Evans, A.G.3    Hutchinson, J.W.4    Whitesides, G.M.5
  • 9
    • 0028483483 scopus 로고
    • Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept
    • N. Büchter, E. Ramm, and D. Roehl Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept Int. J. Numer. Methods Eng. 37 1994 2551 2568
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 2551-2568
    • Büchter, N.1    Ramm, E.2    Roehl, D.3
  • 10
    • 79953670248 scopus 로고    scopus 로고
    • Periodic patterns and energy states of buckled films on compliant substrates
    • S. Cai, D. Breid, A.J. Crosby, Z. Suo, and J.W. Hutchinson Periodic patterns and energy states of buckled films on compliant substrates J. Mech. Phys. Solids 59 2011 1094 1114
    • (2011) J. Mech. Phys. Solids , vol.59 , pp. 1094-1114
    • Cai, S.1    Breid, D.2    Crosby, A.J.3    Suo, Z.4    Hutchinson, J.W.5
  • 11
    • 84859903965 scopus 로고    scopus 로고
    • Wrinkling phenomena in neo-Hookean film/substrate bilayers
    • Y. Cao, and J.W. Hutchinson Wrinkling phenomena in neo-Hookean film/substrate bilayers J. Appl. Mech. 79 2012 031019-1 031019-9
    • (2012) J. Appl. Mech. , vol.79 , pp. 0310191-0310199
    • Cao, Y.1    Hutchinson, J.W.2
  • 12
    • 84855654029 scopus 로고    scopus 로고
    • From wrinkles to creases in elastomers: The instability and imperfection-sensitivity of wrinkling
    • Y. Cao, and J.W. Hutchinson From wrinkles to creases in elastomers: the instability and imperfection-sensitivity of wrinkling Proc. R. Soc. A 468 2012 94 115
    • (2012) Proc. R. Soc. A , vol.468 , pp. 94-115
    • Cao, Y.1    Hutchinson, J.W.2
  • 13
    • 84860752262 scopus 로고    scopus 로고
    • Buckling and post-buckling of a stiff film resting on an elastic graded substrate
    • Y. Cao, F. Jia, Y. Zhao, X. Feng, and S. Yu Buckling and post-buckling of a stiff film resting on an elastic graded substrate Int. J. Solids Struct. 49 2012 1656 1664
    • (2012) Int. J. Solids Struct. , vol.49 , pp. 1656-1664
    • Cao, Y.1    Jia, F.2    Zhao, Y.3    Feng, X.4    Yu, S.5
  • 14
    • 12344332722 scopus 로고    scopus 로고
    • Herringbone buckling patterns of compressed thin films on compliant substrates
    • X. Chen, and J.W. Hutchinson Herringbone buckling patterns of compressed thin films on compliant substrates J. Appl. Mech. 71 2004 597 603
    • (2004) J. Appl. Mech. , vol.71 , pp. 597-603
    • Chen, X.1    Hutchinson, J.W.2
  • 15
    • 0028763617 scopus 로고
    • A path-following technique via an asymptotic-numerical method
    • B. Cochelin A path-following technique via an asymptotic-numerical method Comput. Struct. 53 1994 1181 1192
    • (1994) Comput. Struct. , vol.53 , pp. 1181-1192
    • Cochelin, B.1
  • 16
    • 0028413506 scopus 로고
    • Asymptotic-numerical methods and Padé approximants for non-linear elastic structures
    • B. Cochelin, N. Damil, and M. Potier-Ferry Asymptotic-numerical methods and Padé approximants for non-linear elastic structures Int. J. Numer. Methods Eng. 37 1994 1187 1213
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 1187-1213
    • Cochelin, B.1    Damil, N.2    Potier-Ferry, M.3
  • 18
    • 0025545964 scopus 로고
    • A new method to compute perturbed bifurcation: Application to the buckling of imperfect elastic structures
    • N. Damil, and M. Potier-Ferry A new method to compute perturbed bifurcation: application to the buckling of imperfect elastic structures Int. J. Eng. Sci. 26 1990 943 957
    • (1990) Int. J. Eng. Sci. , vol.26 , pp. 943-957
    • Damil, N.1    Potier-Ferry, M.2
  • 19
    • 33751247921 scopus 로고    scopus 로고
    • A generalized continuum approach to describe instability pattern formation by a multiple scale analysis
    • N. Damil, and M. Potier-Ferry A generalized continuum approach to describe instability pattern formation by a multiple scale analysis C. R. Mecanique 334 2006 674 678
    • (2006) C. R. Mecanique , vol.334 , pp. 674-678
    • Damil, N.1    Potier-Ferry, M.2
  • 20
    • 79952900997 scopus 로고    scopus 로고
    • Influence of local wrinkling on membrane behaviour: A new approach by the technique of slowly variable Fourier coefficients
    • N. Damil, and M. Potier-Ferry Influence of local wrinkling on membrane behaviour: a new approach by the technique of slowly variable Fourier coefficients J. Mech. Phys. Solids 58 2010 1139 1153
    • (2010) J. Mech. Phys. Solids , vol.58 , pp. 1139-1153
    • Damil, N.1    Potier-Ferry, M.2
  • 21
  • 22
    • 0001755071 scopus 로고
    • AUTO: A program for the automatic bifurcation analysis of autonomous systems
    • E. Doedel AUTO: a program for the automatic bifurcation analysis of autonomous systems Congr. Numer. 30 1981 265 284
    • (1981) Congr. Numer. , vol.30 , pp. 265-284
    • Doedel, E.1
  • 23
    • 33645365207 scopus 로고    scopus 로고
    • Soft matter with hard skin: From skin wrinkles to templating and material characterization
    • J. Genzer, and J. Groenewold Soft matter with hard skin: From skin wrinkles to templating and material characterization Soft Matter 2 2006 310 323
    • (2006) Soft Matter , vol.2 , pp. 310-323
    • Genzer, J.1    Groenewold, J.2
  • 24
    • 78149247377 scopus 로고    scopus 로고
    • Instabilities as a measurement tool for soft materials
    • J.A. Howarter, and C.M. Stafford Instabilities as a measurement tool for soft materials Soft Matter 6 2010 5661 5666
    • (2010) Soft Matter , vol.6 , pp. 5661-5666
    • Howarter, J.A.1    Stafford, C.M.2
  • 25
    • 9644281856 scopus 로고    scopus 로고
    • Kinetic wrinkling of an elastic film on a viscoelastic substrate
    • R. Huang Kinetic wrinkling of an elastic film on a viscoelastic substrate J. Mech. Phys. Solids 53 2005 63 89
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 63-89
    • Huang, R.1
  • 26
    • 33748266884 scopus 로고    scopus 로고
    • Dynamics of wrinkle growth and coarsening in stressed thin films
    • R. Huang, and S. Im Dynamics of wrinkle growth and coarsening in stressed thin films Phys. Rev. E 74 2006 026214-1 026214-12
    • (2006) Phys. Rev. e , vol.74 , pp. 0262141-02621412
    • Huang, R.1    Im, S.2
  • 27
    • 0037187271 scopus 로고    scopus 로고
    • Instability of a compressed elastic film on a viscous layer
    • R. Huang, and Z. Suo Instability of a compressed elastic film on a viscous layer Int. J. Solids Struct. 39 2002 1791 1802
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 1791-1802
    • Huang, R.1    Suo, Z.2
  • 28
    • 37649026682 scopus 로고    scopus 로고
    • Evolution of wrinkles in hard films on soft substrates
    • Z.Y. Huang, W. Hong, and Z. Suo Evolution of wrinkles in hard films on soft substrates Phys. Rev. E 70 2004 030601-1 030601-4
    • (2004) Phys. Rev. e , vol.70 , pp. 0306011-0306014
    • Huang, Z.Y.1    Hong, W.2    Suo, Z.3
  • 29
    • 21844432711 scopus 로고    scopus 로고
    • Nonlinear analyses of wrinkles in a film bonded to a compliant substrate
    • 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
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 2101-2118
    • Huang, Z.Y.1    Hong, W.2    Suo, Z.3
  • 30
    • 84878137634 scopus 로고    scopus 로고
    • The role of nonlinear substrate elasticity in the wrinkling of thin films
    • J.W. Hutchinson The role of nonlinear substrate elasticity in the wrinkling of thin films Philos. Trans. R. Soc. A 371 2013 20120422
    • (2013) Philos. Trans. R. Soc. A , vol.371 , pp. 20120422
    • Hutchinson, J.W.1
  • 31
    • 55749085433 scopus 로고    scopus 로고
    • Wrinkle patterns of anisotropic crystal films on viscoelastic substrates
    • S.H. Im, and R. Huang Wrinkle patterns of anisotropic crystal films on viscoelastic substrates J. Mech. Phys. Solids 56 2008 3315 3330
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 3315-3330
    • Im, S.H.1    Huang, R.2
  • 33
    • 39049153767 scopus 로고    scopus 로고
    • Surface instability of an elastic half space with material properties varying with depth
    • 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
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 858-868
    • Lee, D.1    Triantafyllidis, N.2    Barber, J.R.3    Thouless, M.D.4
  • 34
    • 79952361146 scopus 로고    scopus 로고
    • Surface wrinkling of mucosa induced by volumetric growth: Theory, simulation and experiment
    • B. Li, Y. Cao, X. Feng, and H. Gao Surface wrinkling of mucosa induced by volumetric growth: theory, simulation and experiment J. Mech. Phys. Solids 59 2011 758 774
    • (2011) J. Mech. Phys. Solids , vol.59 , pp. 758-774
    • Li, B.1    Cao, Y.2    Feng, X.3    Gao, H.4
  • 35
    • 20144385588 scopus 로고    scopus 로고
    • Self-organized origami
    • L. Mahadevan, and S. Rica Self-organized origami Science 307 2005 1740
    • (2005) Science , vol.307 , pp. 1740
    • Mahadevan, L.1    Rica, S.2
  • 36
    • 70349383379 scopus 로고    scopus 로고
    • A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities
    • M. Medale, and B. Cochelin A parallel computer implementation of the asymptotic numerical method to study thermal convection instabilities J. Comput. Phys. 228 2009 8249 8262
    • (2009) J. Comput. Phys. , vol.228 , pp. 8249-8262
    • Medale, M.1    Cochelin, B.2
  • 38
    • 78651482513 scopus 로고    scopus 로고
    • Solving hyperelastic material problems by asymptotic numerical method
    • S. Nezamabadi, H. Zahrouni, and J. Yvonnet Solving hyperelastic material problems by asymptotic numerical method Comput. Mech. 47 2011 77 92
    • (2011) Comput. Mech. , vol.47 , pp. 77-92
    • Nezamabadi, S.1    Zahrouni, H.2    Yvonnet, J.3
  • 39
    • 77950214388 scopus 로고    scopus 로고
    • Materials and mechanics for stretchable electronics
    • J.A. Rogers, T. Someya, and Y. Huang Materials and mechanics for stretchable electronics Science 327 2010 1603 1607
    • (2010) Science , vol.327 , pp. 1603-1607
    • Rogers, J.A.1    Someya, T.2    Huang, Y.3
  • 40
    • 0029277716 scopus 로고
    • A Theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor
    • C. Sansour A Theory and finite element formulation of shells at finite deformations involving thickness change: circumventing the use of a rotation tensor Arch. Appl. Mech. 65 1995 194 216
    • (1995) Arch. Appl. Mech. , vol.65 , pp. 194-216
    • Sansour, C.1
  • 41
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and method of incompatible modes
    • J.C. Simo, and M.S. Rifai A class of mixed assumed strain methods and method of incompatible modes Int. J. Numer. Methods Eng. 37 1990 1595 1636
    • (1990) Int. J. Numer. Methods Eng. , vol.37 , pp. 1595-1636
    • Simo, J.C.1    Rifai, M.S.2
  • 43
    • 84859567018 scopus 로고    scopus 로고
    • Folding wrinkles of a thin stiff layer on a soft substrate
    • J.Y. Sun, S. Xia, M.W. Moon, K.H. Oh, and K.S. Kim Folding wrinkles of a thin stiff layer on a soft substrate Proc. R. Soc. A 468 2012 932 953
    • (2012) Proc. R. Soc. A , vol.468 , pp. 932-953
    • Sun, J.Y.1    Xia, S.2    Moon, M.W.3    Oh, K.H.4    Kim, K.S.5
  • 45
    • 47549097144 scopus 로고    scopus 로고
    • Local versus global buckling of thin films on elastomeric substrates
    • S. Wang, J. Song, D.H. Kim, Y. Huang, and J.A. Rogers Local versus global buckling of thin films on elastomeric substrates Appl. Phys. Lett. 93 2008 023126-1 023126-3
    • (2008) Appl. Phys. Lett. , vol.93 , pp. 0231261-0231263
    • Wang, S.1    Song, J.2    Kim, D.H.3    Huang, Y.4    Rogers, J.A.5
  • 47
    • 84867523663 scopus 로고    scopus 로고
    • Deterministic order in surface micro-topologies through sequential wrinkling
    • J. Yin, J.L. Yagüe, D. Eggenspieler, K.K. Gleason, and M.C. Boyce Deterministic order in surface micro-topologies through sequential wrinkling Adv. Mater. 24 2012 5441 5446
    • (2012) Adv. Mater. , vol.24 , pp. 5441-5446
    • Yin, J.1    Yagüe, J.L.2    Eggenspieler, D.3    Gleason, K.K.4    Boyce, M.C.5
  • 49
    • 84860542002 scopus 로고    scopus 로고
    • Localized ridge wrinkling of stiff films on compliant substrates
    • J. Zang, X. Zhao, Y. Cao, and J.W. Hutchinson Localized ridge wrinkling of stiff films on compliant substrates J. Mech. Phys. Solids 60 2012 1265 1279
    • (2012) J. Mech. Phys. Solids , vol.60 , pp. 1265-1279
    • Zang, J.1    Zhao, X.2    Cao, Y.3    Hutchinson, J.W.4


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