Polyconvexity and existence theorem for nonlinearly elastic shells

DOI10.1007/S10659-017-9664-ZzbMath1393.74103arXiv1701.02330OpenAlexW3103942685MaRDI QIDQ1653424

Sylvia Anicic

Publication date: 3 August 2018

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

Full work available at URL: https://arxiv.org/abs/1701.02330

zbMATH Keywords

existencenonlinear elasticitycalculus of variationsminimizershellpolyconvexityhyperelasticityHelfrich energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

A constrained Cosserat shell model up to order \(O(h^5)\): modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor ⋮ Energy minimizing configurations for single-director Cosserat shells ⋮ A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence ⋮ A Naghdi type nonlinear model for shells with little regularity ⋮ Existence of weak solutions for non-simple elastic surface models

Cites Work

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• On the Existence of Solutions to the Generalized Marguerre-von Kármán Equations

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