On objectivity and material symmetry for simple elastic solids

DOI10.1023/A:1011049615372zbMath1001.74004OpenAlexW364491805MaRDI QIDQ5945956

A. Ian Murdoch

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1023/a:1011049615372

zbMATH Keywords

material symmetryinvariance under superposed rigid motionsobjectivityobserver transformationreference configurationrigid deformationstress response functions

Mathematics Subject Classification ID

Kinematics of deformation (74A05) Stress (74A10)

Related Items (10)

Consistent hypo-elastic behavior using the four-dimensional formalism of differential geometry ⋮ Derivation of Cosserat's medium equations using different multi-dimensional frameworks ⋮ A note on frame indifference and material isomorphism for simple materials ⋮ Families of continuous spin tensors and applications in continuum mechanics ⋮ Remarks on material frame-indifference controversy ⋮ Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors ⋮ Further remarks on Euclidean objectivity and the principle of material frame-indifference ⋮ On criticism of the nature of objectivity in classical continuum physics ⋮ Objective tensor rates and applications in formulation of hyperelastic relations ⋮ Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models

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