On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions
type: Item
instance of: scholarly article
title: On the compatibility equations of nonlinear and linear elasticity in the presence of boundary conditions
zbMATH Open document ID: 1351.74009
author: Arzhang Angoshtari
author: Arash Yavari
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2016-01-05T00:00:00Z
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6526512
zbMATH Keywords: Hodge decomposition
zbMATH Keywords: displacement gradient
zbMATH Keywords: Piola-Kirchhoff stress tensor field
zbMATH Keywords: virtual work
MaRDI profile type: Publication
full work available at URL: s00033-015-0575-1
OpenAlex ID: W1244406151
cites work: Compatibility equations of nonlinear elasticity for non-simply-connected bodies
cites work: A converse to the virtual work theorem for deformable solids
cites work: Internal constraints in linear elasticity
cites work: Hodge decomposition. A method for solving boundary value problems
cites work: Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds
cites work: Q5518064
cites work: Stability of spectra of Hodge-de Rham Laplacian
cites work: Differential forms on riemannian manifolds
cites work: On The Potential Theory Of Coclosed Harmonic Forms
cites work: On the regularity of differential forms satisfying mixed boundary conditions in a class of Lipschitz domains
cites work: Differential complexes in continuum mechanics
cites work: Differential forms in manifolds with boundary
cites work: Vector Calculus and the Topology of Domains in 3-Space
cites work: Hodge decomposition for symmetric matrix fields and the elasticity complex in Lipschitz domains
cites work: Problem of compatibility and orthogonal decomposition of second-order symmetric tensors in a compact Riemannian manifold with boundary
cites work: On the operator of symmetric differentiation on a compact Riemannian manifold with boundary
cites work: Variational principles in the linear theory of viscoelasticity
DOI: 10.1007/S00033-015-0575-1
description: scientific article; zbMATH DE number 6526512