메뉴 건너뛰기




Volumn 470, Issue 2168, 2014, Pages

Ruga-formation instabilities of a graded stiffness boundary layer in a neo-Hookean solid

Author keywords

Graded stiffness boundary layer; Neo Hookean materials; Nonlinear bifurcation; Ruga mechanics

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY LAYERS; GEOMETRY;

EID: 84903977705     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2014.0218     Document Type: Article
Times cited : (39)

References (33)
  • 1
    • 34547917960 scopus 로고    scopus 로고
    • Anisotropic wetting on tunable micro-wrinkled surfaces
    • doi:10. 1039/B705112C
    • Chung JY, Youngblood JP, Stafford CM. 2007 Anisotropic wetting on tunable micro-wrinkled surfaces. Soft Matter 3, 1163-1169. (doi:10. 1039/B705112C)
    • (2007) Soft Matter , vol.3 , pp. 1163-1169
    • Chung, J.Y.1    Youngblood, J.P.2    Stafford, C.M.3
  • 2
    • 70449338357 scopus 로고    scopus 로고
    • Tunable open-channel microfluidics on soft poly(dimethylsiloxane) (PDMS) substrates with sinusoidal grooves
    • doi:10. 1021/ la901736n
    • Khare K, Zhou J, Yang S. 2009 Tunable open-channel microfluidics on soft poly(dimethylsiloxane) (PDMS) substrates with sinusoidal grooves. Langmuir 25, 12794-12799. (doi:10. 1021/ la901736n)
    • (2009) Langmuir , vol.25 , pp. 12794-12799
    • Khare, K.1    Zhou, J.2    Yang, S.3
  • 3
    • 73649128509 scopus 로고    scopus 로고
    • Wrinkled dual-scale structures of diamond-like carbon (DLC) for superhydrophobicity
    • doi:10. 1021/la902129k
    • Rahmawan Y, Moon M-W, Kim K-S, Lee K-R, Suh K-Y. 2010 Wrinkled dual-scale structures of diamond-like carbon (DLC) for superhydrophobicity. Langmuir 26, 484-491. (doi:10. 1021/la902129k)
    • (2010) Langmuir , vol.26 , pp. 484-491
    • Rahmawan, Y.1    Moon, M.-W.2    Kim, K.-S.3    Lee, K.-R.4    Suh, K.-Y.5
  • 4
    • 84863036309 scopus 로고    scopus 로고
    • Strain-controlled switching of hierarchically wrinkled surfaces between superhydrophobicity and superhydrophilicity
    • doi:10. 1021/la203934z
    • Zhang Z, Zhang YW, Zhang T, Kim K-S, Gao H. 2012 Strain-controlled switching of hierarchically wrinkled surfaces between superhydrophobicity and superhydrophilicity. Langmuir 28, 2753-2760. (doi:10. 1021/la203934z)
    • (2012) Langmuir , vol.28 , pp. 2753-2760
    • Zhang, Z.1    Zhang, Y.W.2    Zhang, T.3    Kim, K.-S.4    Gao, H.5
  • 5
    • 84896386208 scopus 로고    scopus 로고
    • Harnessing localized ridges for highaspect- ratio hierarchical patterns with dynamic tunability and multifunctionality
    • doi:10. 1002/adma. 201304589
    • Cao C, Chan HF, Zang J, Leong KW, Zhao X. 2014 Harnessing localized ridges for highaspect- ratio hierarchical patterns with dynamic tunability and multifunctionality. Adv. Mater. 26, 1763-1770. (doi:10. 1002/adma. 201304589)
    • (2014) Adv. Mater. , vol.26 , pp. 1763-1770
    • Cao, C.1    Chan, H.F.2    Zang, J.3    Leong, K.W.4    Zhao, X.5
  • 6
    • 49449117463 scopus 로고    scopus 로고
    • Surface wrinkles for smart adhesion
    • doi:10. 1002/adma. 200701530
    • Chan EP, Smith EJ, Hayward RC, Crosby AJ. 2008 Surface wrinkles for smart adhesion. Adv. Mater. 20, 711-716. (doi:10. 1002/adma. 200701530)
    • (2008) Adv. Mater. , vol.20 , pp. 711-716
    • Chan, E.P.1    Smith, E.J.2    Hayward, R.C.3    Crosby, A.J.4
  • 7
    • 49449090040 scopus 로고    scopus 로고
    • Mechanically tunable dry adhesive from wrinkles elastomers
    • doi:10. 1039/B802848F
    • Lin P-C, Vajpayee S, Jagota A, Hui C-Y, Yang S. 2008 Mechanically tunable dry adhesive from wrinkles elastomers. Soft Matter 4, 1830-1835. (doi:10. 1039/B802848F)
    • (2008) Soft Matter , vol.4 , pp. 1830-1835
    • Lin, P.-C.1    Vajpayee, S.2    Jagota, A.3    Hui, C.-Y.4    Yang, S.5
  • 8
    • 84860536904 scopus 로고    scopus 로고
    • Wrinkles and deep folds as photonic structures in photovoltaics
    • doi:10. 1038/NPHOTON. 2012. 70
    • Kim JB et al. 2012Wrinkles and deep folds as photonic structures in photovoltaics. Nat. Photon. 6, 327-332. (doi:10. 1038/NPHOTON. 2012. 70)
    • (2012) Nat. Photon. , vol.6 , pp. 327-332
    • Kim, J.B.1
  • 9
    • 84885114200 scopus 로고    scopus 로고
    • Generation of diffraction-free optical beams using wrinkled membranes
    • doi:101038/srep02775
    • Li R, Yi H, Hu X, Chen L, Shi G, Wang W, Yang T. 2013 Generation of diffraction-free optical beams using wrinkled membranes. Sci. Rep. 3, 2775. (doi:10. 1038/srep02775)
    • (2013) Sci. Rep. , vol.3 , pp. 2775
    • Li, R.1    Yi, H.2    Hu, X.3    Chen, L.4    Shi, G.5    Wang, W.6    Yang, T.7
  • 10
    • 84883876105 scopus 로고    scopus 로고
    • Ruga mechanics of creasing: From instantaneous to setback creases
    • doi:10. 1098/rspa. 2012. 0753
    • Diab M, Zhang T, Zhao R, Gao H, Kim K-S. 2013 Ruga mechanics of creasing: from instantaneous to setback creases. Proc. R. Soc. A 469, 20120753. (doi:10. 1098/rspa. 2012. 0753)
    • (2013) Proc. R. Soc. A , vol.469 , pp. 20120753
    • Diab, M.1    Zhang, T.2    Zhao, R.3    Gao, H.4    Kim, K.-S.5
  • 11
    • 40949120935 scopus 로고    scopus 로고
    • Buckling of a stiff thin film on a compliant substrate in large deformation
    • doi:10. 1016/j. ijsolstr. 2008. 01. 023
    • Song J, Jiang H, Liu ZJ, Khang DY, Huang Y, Rogers JA, Lu C, Koh CG. 2008 Buckling of a stiff thin film on a compliant substrate in large deformation. Int. J. Solids Struct. 45, 3107-3121. (doi:10. 1016/j. ijsolstr. 2008. 01. 023)
    • (2008) Int. J. Solids Struct. , vol.45 , pp. 3107-3121
    • Song, J.1    Jiang, H.2    Liu, Z.J.3    Khang, D.Y.4    Huang, Y.5    Rogers, J.A.6    Lu, C.7    Koh, C.G.8
  • 12
    • 78650564273 scopus 로고    scopus 로고
    • Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators
    • doi:10. 1038/nphys1806
    • Brau F et al. 2011 Multiple-length-scale elastic instability mimics parametric resonance of nonlinear oscillators. Nat. Phys. 7, 56-60. (doi:10. 1038/nphys1806)
    • (2011) Nat. Phys. , vol.7 , pp. 56-60
    • Brau, F.1
  • 13
    • 84859567018 scopus 로고    scopus 로고
    • Folding wrinkles of a thin stiff layer on a soft substrate
    • doi:10. 1098/rspa. 2011. 0567
    • Sun J-Y, Xia S, Moon M-W, Oh KH, Kim K-S. 2011 Folding wrinkles of a thin stiff layer on a soft substrate. Proc. R. Soc. A 468, 932-953. (doi:10. 1098/rspa. 2011. 0567)
    • (2011) 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
  • 14
    • 84878137634 scopus 로고    scopus 로고
    • The role of nonlinear substrate elasticity in the wrinkling of thin films
    • doi:10. 1098/rsta. 2012. 0422
    • Hutchinson JW. 2013 The role of nonlinear substrate elasticity in the wrinkling of thin films. Phil. Trans. R. Soc. A 28, 20120422. (doi:10. 1098/rsta. 2012. 0422)
    • (2013) Phil. Trans. R. Soc. A , vol.28 , pp. 20120422
    • Hutchinson, J.W.1
  • 16
    • 0011012068 scopus 로고
    • Surface instability of rubber in compression
    • doi:10. 1007/BF03184638
    • Biot MA. 1963 Surface instability of rubber in compression. Appl. Sci. Res. A 12, 168-182. (doi:10. 1007/BF03184638)
    • (1963) Appl. Sci. Res. A , vol.12 , pp. 168-182
    • Biot, M.A.1
  • 17
    • 0342705776 scopus 로고
    • On the surface instability of an isotropic highly elastic half-space
    • Nowinski JL. 1968 On the surface instability of an isotropic highly elastic half-space. Indian J. Mech. Math. 18, 1-10.
    • (1968) Indian J. Mech. Math. , vol.18 , pp. 1-10
    • Nowinski, J.L.1
  • 18
    • 0001399424 scopus 로고
    • General theory of small elastic deformations superposed on large elastic deformation
    • doi:10. 1098/rspa. 1952. 0030
    • Green AE, Rivlin RS, Shield RT. 1962 General theory of small elastic deformations superposed on large elastic deformation. Proc. R. Soc. A 211, 128-154. (doi:10. 1098/rspa. 1952. 0030)
    • (1962) Proc. R. Soc. A , vol.211 , pp. 128-154
    • Green, A.E.1    Rivlin, R.S.2    Shield, R.T.3
  • 19
    • 0011010370 scopus 로고    scopus 로고
    • Surface instabilities in compressed or bent rubber blocks
    • doi:10. 5254/1. 3538798
    • Gent AN, Cho IS. 1999 Surface instabilities in compressed or bent rubber blocks. Rubber Chem. Technol. 72, 253-262. (doi:10. 5254/1. 3538798)
    • (1999) Rubber Chem. Technol. , vol.72 , pp. 253-262
    • Gent, A.N.1    Cho, I.S.2
  • 21
    • 79952425923 scopus 로고    scopus 로고
    • Unfolding the sulcus
    • doi:10. 1103/PhysRevLett. 106. 105702
    • Hohlfeld EB, Mahadevan L. 2011 Unfolding the sulcus. Phys. Rev. Lett. 106, 105702. (doi:10. 1103/PhysRevLett. 106. 105702)
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 105702
    • Hohlfeld, E.B.1    Mahadevan, L.2
  • 22
    • 70349479058 scopus 로고    scopus 로고
    • Formation of creases on the surfaces of elastomers and gels
    • doi:10. 1063/1-32119177
    • Hong W, Zhao X, Suo Z. 2009 Formation of creases on the surfaces of elastomers and gels. Appl. Phys. Lett. 95, 111901. (doi:10. 1063/1-32119177)
    • (2009) Appl. Phys. Lett. , vol.95 , pp. 111901
    • Hong, W.1    Zhao, X.2    Suo, Z.3
  • 23
    • 84855654029 scopus 로고    scopus 로고
    • From wrinkles to creases in elastomers: The instability and imperfection-sensitivity of wrinkling
    • doi:10. 1098/rspa. 2011. 0384
    • Cao Y, Hutchinson JW. 2012 From wrinkles to creases in elastomers: the instability and imperfection-sensitivity of wrinkling. Proc. R. Soc. A 468, 94-115. (doi:10. 1098/rspa. 2011. 0384)
    • (2012) Proc. R. Soc. A , vol.468 , pp. 94-115
    • Cao, Y.1    Hutchinson, J.W.2
  • 25
    • 0028443287 scopus 로고
    • The buckling of an elastic layer bonded to an elastic substrate in plane strain
    • doi:10. 1115/1. 2901434
    • Shield TW, Kim K-S, Shield RT. 1994 The buckling of an elastic layer bonded to an elastic substrate in plane strain. J. Appl. Mech. 61, 231-235. (doi:10. 1115/1. 2901434)
    • (1994) J. Appl. Mech. , vol.61 , pp. 231-235
    • Shield, T.W.1    Kim, K.-S.2    Shield, R.T.3
  • 26
    • 78149262644 scopus 로고    scopus 로고
    • Solvent induced transition from wrinkles to creases in thin film gels with depth-wise crosslinking gradients
    • doi:10. 1039/c0sm00317d
    • Guvendiren M, Burdick JA, Yang S. 2010 Solvent induced transition from wrinkles to creases in thin film gels with depth-wise crosslinking gradients. Soft Matter 6, 5795-5801. (doi:10. 1039/c0sm00317d)
    • (2010) Soft Matter , vol.6 , pp. 5795-5801
    • Guvendiren, M.1    Burdick, J.A.2    Yang, S.3
  • 27
    • 39049153767 scopus 로고    scopus 로고
    • Surface instability of an elastic half space with material properties varying with depth
    • doi:10. 1016/j. jmps. 2007. 06. 010
    • Lee D, Triantafyllidis N, Barber JR, Thouless MD. 2008 Surface instability of an elastic half space with material properties varying with depth. J. Mech. Phys. Solids 56, 858-868. (doi:10. 1016/j. jmps. 2007. 06. 010)
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 858-868
    • Lee, D.1    Triantafyllidis, N.2    Barber, J.R.3    Thouless, M.D.4
  • 28
    • 59349101807 scopus 로고
    • Theory of buckling and post-buckling behavior of elastic structures
    • doi:10. 1016/S0065-2156(08)70030-9
    • Budiansky B. 1974 Theory of buckling and post-buckling behavior of elastic structures. Adv. Appl. Mech. 14, 1-65. (doi:10. 1016/S0065-2156(08) 70030-9)
    • (1974) Adv. Appl. Mech. , vol.14 , pp. 1-65
    • Budiansky, B.1
  • 29
    • 39749091638 scopus 로고    scopus 로고
    • Creasing instability of surface-attached hydrogels
    • doi:10. 1039/b713263h
    • Trujillo V, Kim J, Hayward RC. 2007 Creasing instability of surface-attached hydrogels. Soft Matter 4, 564-569. (doi:10. 1039/b713263h)
    • (2007) Soft Matter , vol.4 , pp. 564-569
    • Trujillo, V.1    Kim, J.2    Hayward, R.C.3
  • 30
    • 0000554001 scopus 로고    scopus 로고
    • On the imperfection sensitivity of a coated elastic half-space
    • doi:10. 1098/rspa. 1999. 0451
    • Cai Z, Fu YB. 1999 On the imperfection sensitivity of a coated elastic half-space. Proc. R. Soc. Lond. A 455, 3285-3309. (doi:10. 1098/rspa. 1999. 0451)
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 3285-3309
    • Cai, Z.1    Fu, Y.B.2
  • 31
    • 0001640902 scopus 로고
    • An initial value method for eigenvalue problems using compound matrices
    • doi:10. 1016/0021-9991(79)90091-3
    • Ng BS, Reid WH. 1979 An initial value method for eigenvalue problems using compound matrices. J. Comput. Phys. 30, 125-136. (doi:10. 1016/0021-9991(79)90091-3)
    • (1979) J. Comput. Phys. , vol.30 , pp. 125-136
    • Ng, B.S.1    Reid, W.H.2
  • 32
    • 0001558179 scopus 로고
    • The compound matrix method for ordinary differential systems
    • doi:10. 1016/0021-9991(85)90177-9
    • Ng BS, Reid WH. 1985 The compound matrix method for ordinary differential systems. J. Comput. Phys. 58, 209-228. (doi:10. 1016/0021-9991(85)90177-9)
    • (1985) J. Comput. Phys. , vol.58 , pp. 209-228
    • Ng, B.S.1    Reid, W.H.2
  • 33
    • 38249008101 scopus 로고
    • A note on compound matrices
    • doi:10. 1016/0021-9991(92)90417-w
    • Lindsay KA, Rooney CE. 1992 A note on compound matrices. J. Comput. Phys. 103, 472-477. (doi:10. 1016/0021-9991(92)90417-w)
    • (1992) J. Comput. Phys. , vol.103 , pp. 472-477
    • Lindsay, K.A.1    Rooney, C.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.