Remarks on \(W^{1,p}\)-quasiconvexity, interpenetration of matter, and function spaces for elasticity

DOI10.1016/S0294-1449(16)30237-2zbMath0773.73022OpenAlexW1001562897MaRDI QIDQ1196154

Richard D. James, Spector, Scott J.

Publication date: 17 December 1992

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_3_263_0

zbMATH Keywords

local minimumminimizer of the energyelastic ballelastic energy functionformation of voids

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear elasticity (74B20)

Related Items (6)

An existence theory for nonlinear elasticity that allows for cavitation ⋮ On homotopy conditions and the existence of multiple equilibria in finite elasticity ⋮ Young Measures as Measurable Functions and Their Applications to Variational Problems ⋮ Unnamed Item ⋮ Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body

Cites Work

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• Parametric surfaces

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