메뉴 건너뛰기




Volumn 26, Issue 12, 2013, Pages 3247-3258

Pattern selection and multiscale behaviour in metrically discontinuous non-Euclidean plates

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84889045202     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/26/12/3247     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 84875858464 scopus 로고    scopus 로고
    • Three-dimensional shape transformations of hydrogel sheets induced by small-scale modulation of internal stresses
    • 10.1038/ncomms2549
    • Wu Z L, Moshe M, Greener J, Therien-Aubin H, Nie Z, Sharon E and Kumacheva E 2013 Three-dimensional shape transformations of hydrogel sheets induced by small-scale modulation of internal stresses Nature Commun. 4 1586
    • (2013) Nature Commun. , vol.4 , pp. 1586
    • Wu, Z.L.1    Moshe, M.2    Greener, J.3    Therien-Aubin, H.4    Nie, Z.5    Sharon, E.6    Kumacheva, E.7
  • 2
    • 61549105950 scopus 로고    scopus 로고
    • Elastic theory of unconstrained non-Euclidean plates
    • 10.1016/j.jmps.2008.12.004 0022-5096
    • Efrati E, Sharon E and Kupferman R 2009 Elastic theory of unconstrained non-Euclidean plates J. Mech. Phys. Solids 57 762-75
    • (2009) J. Mech. Phys. Solids , vol.57 , pp. 762-775
    • Efrati, E.1    Sharon, E.2    Kupferman, R.3
  • 3
    • 23844451870 scopus 로고    scopus 로고
    • Growth and instability in elastic tissues
    • DOI 10.1016/j.jmps.2005.04.008, PII S0022509605000876
    • Ben Amar M and Goriely A 2005 Growth and instabilities in elastic tissues J. Mech. Phys. Solids 53 2284-319 (Pubitemid 41165642)
    • (2005) Journal of the Mechanics and Physics of Solids , vol.53 , Issue.10 , pp. 2284-2319
    • Ben Amar, M.1    Goriely, A.2
  • 4
    • 78650694106 scopus 로고    scopus 로고
    • A geometric theory of growth mechanics
    • 10.1007/s00332-010-9073-y 0938-8974
    • Yavari A 2010 A geometric theory of growth mechanics J. Nonlinear Sci. 20 781-830
    • (2010) J. Nonlinear Sci. , vol.20 , pp. 781-830
    • Yavari, A.1
  • 5
    • 0002691892 scopus 로고
    • On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
    • 10.1007/BF00276434 0003-9527
    • Wang C-C 1967 On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations Arch. Ration. Mech. Anal. 27 33-93
    • (1967) Arch. Ration. Mech. Anal. , vol.27 , pp. 33-93
    • Wang, C.-C.1
  • 7
    • 33847274716 scopus 로고    scopus 로고
    • Shaping of elastic sheets by prescription of non-Euclidean metrics
    • DOI 10.1126/science.1135994
    • Klein Y, Efrati E and Sharon E 2007 Shaping of elastic sheets by prescription of non-Euclidean metrics Science 315 1116-20 (Pubitemid 46328020)
    • (2007) Science , vol.315 , Issue.5815 , pp. 1116-1120
    • Klein, Y.1    Efrati, E.2    Sharon, E.3
  • 8
    • 78651329185 scopus 로고    scopus 로고
    • Buckling thin disks and ribbons with non-Euclidean metrics
    • 10.1209/0295-5075/86/34003 0295-5075 34003
    • Santangelo C D 2009 Buckling thin disks and ribbons with non-Euclidean metrics Europhys. Lett. 86 34003
    • (2009) Europhys. Lett. , vol.86 , Issue.3 , pp. 34003
    • Santangelo, C.D.1
  • 9
    • 80052931164 scopus 로고    scopus 로고
    • Shape selection in non-Euclidean plates
    • 10.1016/j.physd.2011.07.002 0167-2789 D
    • Gemmer J and Venkataramani S 2011 Shape selection in non-Euclidean plates Physica D 240 1536-52
    • (2011) Physica , vol.240 , pp. 1536-1552
    • Gemmer, J.1    Venkataramani, S.2
  • 11
    • 84863115911 scopus 로고    scopus 로고
    • Thermally responsive rolling of thin gel strips with discrete variations in swelling
    • 10.1039/c2sm06681e 1744-683X
    • Kim J, Hanna J A, Hayward R C and Santangelo C D 2012 Thermally responsive rolling of thin gel strips with discrete variations in swelling Soft Matter 8 2375-81
    • (2012) Soft Matter , vol.8 , pp. 2375-2381
    • Kim, J.1    Hanna, J.A.2    Hayward, R.C.3    Santangelo, C.D.4
  • 12
  • 13
    • 49249121186 scopus 로고    scopus 로고
    • Morphogenesis of growing soft tissues
    • 10.1103/PhysRevLett.101.068101 068101
    • Dervaux J and Ben Amar M 2008 Morphogenesis of growing soft tissues Phys. Rev. Lett. 101 068101
    • (2008) Phys. Rev. Lett. , vol.101
    • Dervaux, J.1    Ben Amar, M.2
  • 14
    • 33845899123 scopus 로고    scopus 로고
    • Geometry and elasticity of strips and flowers
    • 10.1007/s10955-006-9087-x 0022-4715
    • Marder M and Papanicolaou N 2006 Geometry and elasticity of strips and flowers J. Stat. Phys. 125 1069
    • (2006) J. Stat. Phys. , vol.125 , Issue.5-6 , pp. 1065
    • Marder, M.1    Papanicolaou, N.2
  • 15
    • 79961063903 scopus 로고    scopus 로고
    • Hyperbolic non-Euclidean elastic strips and minimal surfaces
    • 10.1103/PhysRevE.83.046602 1063-651X E 046602
    • Efrati E, Sharon E and Kupferman R 2011 Hyperbolic non-Euclidean elastic strips and minimal surfaces Phys. Rev. E 83 046602
    • (2011) Phys. Rev. , vol.83
    • Efrati, E.1    Sharon, E.2    Kupferman, R.3
  • 16
    • 13444252482 scopus 로고    scopus 로고
    • How the Venus flytrap snaps
    • DOI 10.1038/nature03185
    • Forterre Y, Skotheim J M, Dumais J and Mahadevan L 2005 How the Venus flytrap snaps Nature 433 421-5 (Pubitemid 40203322)
    • (2005) Nature , vol.433 , Issue.7024 , pp. 421-425
    • Forterre, Y.1    Skotheim, J.M.2    Dumals, J.3    Mahadevan, L.4
  • 17
    • 0031456976 scopus 로고    scopus 로고
    • How pine cones open [4]
    • DOI 10.1038/37745
    • Dawson C, Vincent J F V and Rocca A-M 1997 How pine cones open Nature 390 668 (Pubitemid 28016350)
    • (1997) Nature , vol.390 , Issue.6661 , pp. 668
    • Dawson, C.1    Vincent, J.F.V.2    Rocca, A.-M.3
  • 18
    • 80053151969 scopus 로고    scopus 로고
    • Geometry and mechanics of chiral pod opening
    • 10.1126/science.1203874
    • Armon S, Efrati E, Sharon E and Kupferman R 2011 Geometry and mechanics of chiral pod opening Science 333 1726-30
    • (2011) Science , vol.333 , pp. 1726-1730
    • Armon, S.1    Efrati, E.2    Sharon, E.3    Kupferman, R.4
  • 19
    • 84893665817 scopus 로고    scopus 로고
    • A Riemannian approach to reduced plate, shell, and rod theories
    • Kupferman R and Solomon J P 2013 A Riemannian approach to reduced plate, shell, and rod theories J. Funct. Anal. at press
    • (2013) J. Funct. Anal.
    • Kupferman, R.1    Solomon, J.P.2
  • 20
    • 34248587768 scopus 로고    scopus 로고
    • The role of wheat awns in the seed dispersal unit
    • DOI 10.1126/science.1140097
    • Elbaum R, Zaltzman L, Burgert I and Fratzl P 2007 The role of wheat awns in the seed dispersal unit Science 316 884-6 (Pubitemid 46764277)
    • (2007) Science , vol.316 , Issue.5826 , pp. 884-886
    • Elbaum, R.1    Zaltzman, L.2    Burgert, I.3    Fratzl, P.4
  • 21
    • 84859402648 scopus 로고    scopus 로고
    • Tilted cellulose arrangement as a novel mechanism for hygroscopic coiling in the stork's bill awn
    • 10.1098/rsif.2011.0395 1742-5689
    • Abraham Y, Tamburu C, Klein E, Dunlop J W C, Fratzl P, Raviv U and Elbaum R 2012 Tilted cellulose arrangement as a novel mechanism for hygroscopic coiling in the stork's bill awn J. R. Soc. Interface 9 640-7
    • (2012) J. R. Soc. Interface , vol.9 , pp. 640-647
    • Abraham, Y.1    Tamburu, C.2    Klein, E.3    Dunlop, J.W.C.4    Fratzl, P.5    Raviv, U.6    Elbaum, R.7
  • 22
    • 84861883774 scopus 로고    scopus 로고
    • Emergence of spontaneous twist and curvature in non-Euclidean rods: Application to erodium plant cells
    • 10.1103/PhysRevLett.108.238106 238106
    • Aharoni H, Abraham Y, Elbaum R, Sharon E and Kupferman R 2012 Emergence of spontaneous twist and curvature in non-Euclidean rods: application to erodium plant cells Phys. Rev. Lett. 108 238106
    • (2012) Phys. Rev. Lett. , vol.108
    • Aharoni, H.1    Abraham, Y.2    Elbaum, R.3    Sharon, E.4    Kupferman, R.5
  • 23
    • 84863230077 scopus 로고    scopus 로고
    • Designing responsive buckled surfaces by halftone gel lithography
    • 10.1126/science.1215309
    • Kim J, Hanna J A, Byun M, Santangelo C D and Hayward R C 2012 Designing responsive buckled surfaces by halftone gel lithography Science 335 1201-5
    • (2012) Science , vol.335 , pp. 1201-1205
    • Kim, J.1    Hanna, J.A.2    Byun, M.3    Santangelo, C.D.4    Hayward, R.C.5
  • 24
    • 0002212365 scopus 로고
    • On the pericarpial structure of the legumen, its evolution and relation to dehiscence
    • 0031-9449
    • Fahn A and Zohary M 1955 On the pericarpial structure of the legumen, its evolution and relation to dehiscence Phytomorphology 5 99-111
    • (1955) Phytomorphology , vol.5 , pp. 99-111
    • Fahn, A.1    Zohary, M.2
  • 25
    • 0001601638 scopus 로고
    • Anatomical mechanisms of seed dispersal
    • 10.1016/B978-0-12-424301-9.50010-3
    • Fahn A and Werker E 1972 Anatomical mechanisms of seed dispersal Seed Biology (New York: Academic)
    • (1972) Seed Biology , pp. 151
    • Fahn, A.1    Werker, E.2
  • 26
    • 69949108775 scopus 로고    scopus 로고
    • Hygromorphs: From pine cones to biomimetic bilayers
    • 10.1098/rsif.2009.0184 1742-5689
    • Reyssat E and Mahadevan L 2009 Hygromorphs: from pine cones to biomimetic bilayers J. R. Soc. Interface 6 951-7
    • (2009) J. R. Soc. Interface , vol.6 , pp. 951-957
    • Reyssat, E.1    Mahadevan, L.2
  • 27
    • 34250522644 scopus 로고
    • On the stored-energy functions of hyperelastic materials
    • 10.1007/BF00281133 0003-9527
    • Wang C-C 1966 On the stored-energy functions of hyperelastic materials Arch. Rat. Mech. Anal. 23 1-14
    • (1966) Arch. Rat. Mech. Anal. , vol.23 , pp. 1-14
    • Wang, C.-C.1
  • 28
    • 81555218480 scopus 로고    scopus 로고
    • Scaling laws for non-Euclidean plates and the W2,2 isometric immersions of Riemannian metrics
    • 10.1051/cocv/2010039
    • Lewicka M and Pakzad M R 2010 Scaling laws for non-Euclidean plates and the W2,2 isometric immersions of Riemannian metrics ESAIM: Control, Optimisation Calculus Variations 17 1158-73
    • (2010) ESAIM: Control, Optimisation Calculus Variations , vol.17 , pp. 1158-1173
    • Lewicka, M.1    Pakzad, M.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.