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

DOI10.1007/s10255-005-5188-6zbMath1143.49005OpenAlexW1990040841MaRDI QIDQ942887

Min-Ling Zheng, Xiao-Ping Yang, Zhong-Xue Lü

Publication date: 8 September 2008

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-005-5188-6

zbMATH Keywords

integral functionalslower semicontinuitySBD space

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Large-strain, rate-dependent theories of plasticity (74C20) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Compactness and lower semicontinuity properties in \(SBD(\Omega)\)
• Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
• Fine properties of functions with bounded deformation
• On lower semicontinuity of integral functionals in \(LD(\Omega)\)
• Un espace fonctionnel pour les équations de la plasticité