An internal variable theory of inelastic behaviour derived from the uniaxial rigid-perfectly plastic law
type: Item
instance of: scholarly article
title: An internal variable theory of inelastic behaviour derived from the uniaxial rigid-perfectly plastic law
zbMATH Open document ID: 0781.73022
DOI: 10.1016/0020-7225(93)90085-9
author: Giovanni Romano
author: L. Rosati
author: F. Marotti de Sciarra
published in: International Journal of Engineering Science
publication date: 1993-09-07T00:00:00Z
review text: The authors derived a set of constitutive relations for inelastic behavior by using the internal variable theory. They particularly stressed on the basic properties of the evolution relation involving rates of internal variable and dual thermodynamical forces. It was shown that a suitable generalization of the uniaxial rigid-perfectly plastic law can be performed by introducing the definition of step-shaped constitutive maps. This definition allowed them to derive a general theory of associated inelastic behavior with its characteristic properties: convexity of the elastic locus, normality rule, existence of a sublinear dissipation functional and of a canonical yield functional. Finally, they discussed the formulation of the constitutive relation in terms of yield functionals and related inelastic multipliers. This work is very interesting and might be helpful for those researchers working in the area of plasticity.
reviewed by: Hilmi Demiray
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 410218
zbMATH Keywords: internal variable theory
zbMATH Keywords: dual thermodynamical forces
zbMATH Keywords: step-shaped constitutive maps
zbMATH Keywords: associated inelastic behavior
zbMATH Keywords: normality rule
zbMATH Keywords: canonical yield functional
zbMATH Keywords: inelastic multipliers
MaRDI profile type: Publication
full work available at URL: 0020-7225(93)90085-9
OpenAlex ID: W2051248900
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description: scientific article; zbMATH DE number 410218