A geometric rationale for invariance, covariance and constitutive relations
type: Item
instance of: scholarly article
title: A geometric rationale for invariance, covariance and constitutive relations
zbMATH Open document ID: 1392.74007
author: Giovanni Romano
author: Raffaele Barretta
author: Marina Diaco
published in: Continuum Mechanics and Thermodynamics
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 6915488
zbMATH Keywords: constitutive relations
zbMATH Keywords: spatial and material fields in spacetime
zbMATH Keywords: stretching
zbMATH Keywords: stress rate
zbMATH Keywords: Lie derivatives
zbMATH Keywords: spacetime transformations
zbMATH Keywords: invariance
zbMATH Keywords: covariance
zbMATH Keywords: form invariance
zbMATH Keywords: material frame indifference
MaRDI profile type: Publication
full work available at URL: s00161-017-0595-5
OpenAlex ID: W2754699723
cites work: On the formulation of rheological equations of state
cites work: Different definitions of tbe rate of change of a tensor
cites work: Q5510245
cites work: Q3335096
cites work: On Euclidean objectivity and the principle of material frame-indifference
cites work: Objectivity in classical continuum physics: A rationale for discarding the `principle of invariance under superposed rigid body motions' in favour of purely objective considerations
cites work: Further remarks on Euclidean objectivity and the principle of material frame-indifference
cites work: On criticism of the nature of objectivity in classical continuum physics
cites work: More clarity on the concept of material frame-indifference in classical continuum mechanics
cites work: Remarks on material frame-indifference controversy
cites work: Geometric continuum mechanics
cites work: On material objectivity of intermolecular force in molecular dynamics
cites work: Elastic-Plastic Deformation at Finite Strains
cites work: A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
cites work: Elastoplasticity theory
cites work: Q4481977
cites work: The geometry of nonlinear elasticity
cites work: On frame-indifference and form-invariance in constitutive theory
cites work: Q4330663
cites work: Consistent hypo-elastic behavior using the four-dimensional formalism of differential geometry
cites work: Incremental constitutive models for elastoplastic materials undergoing finite deformations by using a four-dimensional formalism
cites work: Differential Forms, the Early Days; or the Stories of Deahna's Theorem and of Volterra's Theorem
cites work: Q4371081
cites work: An introduction to continuum mechanics
cites work: Q4133227
cites work: Nonlocal elasticity in nanobeams: the stress-driven integral model
cites work: Q5488746
cites work: Reply to RIVLIN'sMaterial symmetry revisitedor Much Ado About Nothing
cites work: Nonlocal Continuum Field Theories
DOI: 10.1007/S00161-017-0595-5
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description: scientific article; zbMATH DE number 6915488