On the application of dual variables in continuum mechanics
type: Item
instance of: scholarly article
title: On the application of dual variables in continuum mechanics
zbMATH Open document ID: 0771.73003
DOI: 10.1007/BF01171378
author: P. Haupt
author: Ch. Tsakmakis
published in: Continuum Mechanics and Thermodynamics
publication date: 1993-02-18T00:00:00Z
review text: Dual variables and their associated dual derivatives are characterized by the property that the stress power and the incremental stress power are invariant under a suitable transformation group that may be interpreted in terms of a set of intermediate configurations. These concepts are related to the formulation of incremental constitutive equations. This paper is a systematic development of these concepts and contains a precursory history of the subject, a detailed investigation of some stress and strain measures, and examples regarding rate form of the principle of virtual work, the constitutive equations in viscoelasticity, and the formulation of incremental constitutive assumptions of rate- independent plasticity.
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
zbMATH DE Number: 124202
zbMATH Keywords: dual derivatives
zbMATH Keywords: stress power
zbMATH Keywords: incremental stress power
zbMATH Keywords: transformation group
zbMATH Keywords: incremental constitutive equations
zbMATH Keywords: stress and strain measures
zbMATH Keywords: principle of virtual work
zbMATH Keywords: rate-independent plasticity
reviewed by: Gheorghe Gr. Ciobanu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 124202