Non-quasi-convex problems in nonlinear elastostatics

DOI10.1016/0196-8858(83)90016-7zbMath0536.73032OpenAlexW1983552978MaRDI QIDQ792134

L. T. Campos, J. Tinsley Oden

Publication date: 1983

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(83)90016-7

zbMATH Keywords

generalized solutionequilibrium problemsfinite elastostaticsconditions under which relaxed problem is equivalent to the original oneminimizers of a potential energy functionalnon-quasi-convex problemsquasi-convexification

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Elastic materials (74B99)

Cites Work

• Co-existent phases in the one-dimensional static theory of elastic bars
• The morphology and stability of material phases
• The propagation of phase boundaries in elastic bars
• A relaxation theorem and its application to the equilibrium of gases
• On the anti-plane shear problem in finite elasticity
• A mixed finite element approximation of the Navier-Stokes equations
• Equilibrium of bars
• Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.)
• Quasi-convexity and the lower semicontinuity of multiple integrals
• Nonconvex minimization problems
• Finite element approximations of a class of highly nonlinear boundary-value problems in finite elasticity
• Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order
• Equivalent Norms for Sobolev Spaces
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