The weak compatibility equations of nonlinear elasticity and the insufficiency of the Hadamard jump condition for non-simply connected bodies

DOI10.1007/S00161-015-0478-6zbMath1355.74016OpenAlexW2185646632MaRDI QIDQ510766

Arzhang Angoshtari, Arash Yavari

Publication date: 14 February 2017

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-015-0478-6

zbMATH Keywords

nonlinear elasticitycompatibility equationsHadamard jump conditionnon-simply connected bodies

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (4)

Compatible-strain mixed finite element methods for incompressible nonlinear elasticity ⋮ Compatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticity ⋮ Hilbert complexes of nonlinear elasticity ⋮ Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity

Cites Work

• Unnamed Item
• Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds
• On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions
• Fine phase mixtures as minimizers of energy
• Finite energy solutions of Maxwell's equations and constructive Hodge decompositions on nonsmooth Riemannian manifolds
• Differential complexes in continuum mechanics
• Compatibility equations of nonlinear elasticity for non-simply-connected bodies
• Harmonic tensors on Riemannian manifolds with boundary
• Finite element exterior calculus, homological techniques, and applications
• On the regularity of differential forms satisfying mixed boundary conditions in a class of Lipschitz domains

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