Energy minimizing configurations for single-director Cosserat shells

DOI10.1007/s10659-022-09975-4zbMath1529.74048arXiv2208.09051OpenAlexW4315485156MaRDI QIDQ6064114

Timothy J. Healey, Gokul G. Nair

Publication date: 8 November 2023

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09051

zbMATH Keywords

nonlinear elasticitypolyconvexitytotal potential energyweak lower semicontinuityminimizer existence

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

An existence theorem for a class of wrinkling models for highly stretched elastic sheets

Cites Work

• Orientation-preserving condition and polyconvexity on a surface: application to nonlinear shell theory
• Multiple integrals in the calculus of variations
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• Polyconvexity and existence theorem for nonlinearly elastic shells
• Existence of weak solutions for non-simple elastic surface models
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Injective weak solutions in second-gradient nonlinear elasticity
• The Relaxed Energy Density for Isotropic Elastic Membranes
• Nonlinear problems of elasticity
• Direct methods in the calculus of variations

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