A lower semicontinuity result for some integral functionals in the space \(SBD\)

DOI10.1016/j.na.2005.04.036zbMath1071.49012arXivmath/0306428OpenAlexW1968844714MaRDI QIDQ2567224

François Ebobisse

Publication date: 29 September 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306428

zbMATH Keywords

integral functionalslower semicontinuityspecial functions with bounded deformationsymmetric quasiconvexity

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (6)

Fine properties of functions of bounded deformation -- an approach via linear PDEs ⋮ Equilibrium Configurations for Nonhomogeneous Linearly Elastic Materials with Surface Discontinuities ⋮ Relaxation for an optimal design problem inBD(Ω) ⋮ Lower semicontinuity for integral functionals in the space of functions of bounded deformation via rigidity and Young measures ⋮ Some sufficient conditions for lower semicontinuity in SBD and applications to minimum problems ⋮ Lower semicontinuity inGSBDfor nonautonomous surface integrals

Cites Work

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• Semicontinuity problems in the calculus of variations
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