Convexity conditions for strain-dependent energy functions for membranes

DOI10.1007/BF00375626zbMath0768.73038MaRDI QIDQ1208106

A. C. Pipkin

Publication date: 16 May 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

increasing functionpolyconvexity inequalityrank-one convexity inequality

Mathematics Subject Classification ID

Plates (74K20) General convexity (52A99)

Related Items (8)

Non-uniqueness of minimizers for strictly polyconvex functionals ⋮ A novel variational algorithmic formulation for wrinkling at finite strains based on energy minimization: application to mesh adaption ⋮ A direct approach to fiber and membrane reinforced bodies. II: Membrane reinforced bodies ⋮ Equilibrium analysis of finitely deformed elastic networks ⋮ A variational formulation for finite deformation wrinkling analysis of inelastic membranes ⋮ Hyperelastic large deformations of two-phase composites with membrane-type interface ⋮ Unnamed Item ⋮ The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers

Cites Work

• Convexity conditions and existence theorems in nonlinear elasticity
• Quasi-convexity and the lower semicontinuity of multiple integrals
• The Relaxed Energy Density for Isotropic Elastic Membranes
• Direct methods in the calculus of variations

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