Confining Thin Elastic Sheets and Folding Paper
暂无分享,去创建一个
[1] D. Morse,et al. Scaling Properties of Stretching Ridges in a Crumpled Elastic Sheet , 1995, Science.
[2] N. Mishachev,et al. Introduction to the ℎ-Principle , 2002 .
[3] J. Nash. C 1 Isometric Imbeddings , 1954 .
[4] A. DeSimone,et al. Energy Scaling of Compressed Elastic Films –Three-Dimensional Elasticity¶and Reduced Theories , 2002 .
[5] The energy of crumpled sheets in Foppl-von Karman plate theory , 2003, math/0309412.
[6] G. Friesecke,et al. Mathematik in den Naturwissenschaften Leipzig A hierarchy of plate models derived from nonlinear elasticity by Gamma-convergence , 2005 .
[7] E. Kramer. The von Karman equations, the stress function, and elastic ridges in high dimensions , 1996, cond-mat/9608050.
[8] L. Mahadevan,et al. Conical dislocations in crumpling , 1999, Nature.
[9] W. Massey. Surfaces of Gaussian curvature zero in Euclidean $3$-space , 1962 .
[10] A. V. Pogorelov. Extrinsic geometry of convex surfaces , 1973 .
[11] Mohammad Reza Pakzad,et al. On the Sobolev Space of Isometric Immersions , 2004 .
[12] Philip Hartman,et al. On Spherical Image Maps Whose Jacobians Do Not Change Sign , 1959 .
[13] Stress Condensation in Crushed Elastic Manifolds , 1996, cond-mat/9609037.
[14] Mark A. Peletier,et al. Cylinder Buckling: The Mountain Pass as an Organizing Center , 2006, SIAM J. Appl. Math..
[15] T. Witten,et al. Anomalous strength of membranes with elastic ridges. , 2001, Physical review letters.
[16] S. Venkataramani. Lower bounds for the energy in a crumpled elastic sheet - A minimal ridge , 2002 .
[17] Sergio Conti,et al. Rigorous Derivation of Föppl's Theory for Clamped Elastic Membranes Leads to Relaxation , 2006, SIAM J. Math. Anal..
[18] A. Raoult,et al. The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity , 1995 .
[19] Sethna,et al. Acoustic emission from crumpling paper. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[20] S. Müller,et al. Regularity properties of isometric immersions , 2005 .
[21] Manfredo P. do Carmo,et al. Differential geometry of curves and surfaces , 1976 .
[22] Yakov Eliashberg,et al. Introduction to the h-Principle , 2002 .
[23] G. Friesecke,et al. A theorem on geometric rigidity and the derivation of nonlinear plate theory from three‐dimensional elasticity , 2002 .
[24] J. Hutchinson,et al. Herringbone Buckling Patterns of Compressed Thin Films on Compliant Substrates , 2004 .
[25] N. Kuiper,et al. On C1-isometric imbeddings. II , 1955 .
[26] Boundary layer analysis of the ridge singularity in a thin plate. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.