A Riemannian approach to the membrane limit in non-Euclidean elasticity

DOI10.1142/S0219199713500521zbMath1407.74016arXiv1410.2671WikidataQ115245760 ScholiaQ115245760MaRDI QIDQ2923450

Raz Kupferman, Cy Maor

Publication date: 15 October 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2671

zbMATH Keywords

energy functionalquasiconvexitynonlinear elasticitygamma-convergenceminimisationincompatible elasticity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Applications of differential geometry to physics (53Z05) Membranes (74K15)

Related Items (10)

Limits of elastic models of converging Riemannian manifolds ⋮ On the Variational Limits of Lattice Energies on Prestrained Elastic Bodies ⋮ On the role of curvature in the elastic energy of non-Euclidean thin bodies ⋮ Geometry, analysis, and morphogenesis: Problems and prospects ⋮ Continuum dynamics on manifolds: application to elasticity of residually-stressed bodies ⋮ Relative bending energy for weakly prestrained shells ⋮ On the Dimension Reduction in Prestrained Elasticity (Survey) ⋮ Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models ⋮ Variational convergence of discrete geometrically-incompatible elastic models ⋮ A local and global well-posedness results for the general stress-assisted diffusion systems

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