On the mathematical modelling of material behavior in continuum mechanics
type: Item
instance of: scholarly article
title: On the mathematical modelling of material behavior in continuum mechanics
zbMATH Open document ID: 0776.73002
DOI: 10.1007/BF01174786
published in: Acta Mechanica
publication date: 1993-10-18T00:00:00Z
review text: The classical theories of continuum mechanics --- linear elasticity, viscoelasticity, plasticity and hydrodynamics --- are defined by special constitutive equations. These can be understood to be asymptotic approximations of a quite general constitutive model, valid under restrictive assumptions for the stress functional or the input processes. The general theory of material behavior develops systematic methods to represent material properties in a context of physical evidence and mathematical consistency.
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74-02
zbMATH DE Number: 429372
zbMATH Keywords: linear elasticity
zbMATH Keywords: viscoelasticity
zbMATH Keywords: plasticity
zbMATH Keywords: hydrodynamics
zbMATH Keywords: general theory of material behavior
author: P. Haupt
MaRDI profile type: Publication
cites work: Q4023641
cites work: An approximation theorem for functionals, with applications in continuum mechanics
cites work: Foundations of Linear Viscoelasticity
cites work: On fading memory in materials of evolutionary type
cites work: Q4294962
cites work: Q4278155
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description: scientific article; zbMATH DE number 429372