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Section 6
Material Forces in Standard Dissipative Solids obtained from an Incremental Variational Formulation
Article first published online: 24 NOV 2004
DOI: 10.1002/pamm.200410118
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1617-7061/asset/cover.gif?v=1&s=79b6ccfe3470758033c99b476335ce58b5a38819 "PAMM")
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How to Cite
Zimmermann, D. and Miehe, C. (2004), Material Forces in Standard Dissipative Solids obtained from an Incremental Variational Formulation. Proc. Appl. Math. Mech., 4: 274–275. doi: 10.1002/pamm.200410118
Publication History
- Issue published online: 24 NOV 2004
- Article first published online: 24 NOV 2004
- Abstract
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Abstract
A variational method for the definition of material forces in standard dissipative solids based on a path-dependent incremental minimization structure is proposed. The underlying base is provided by incremental variational formulations for standard dissipative solids. For this type of inelastic constitutive response, an incremental stress potential can be constructed by a constitutive minimization principle. Then, the incremental boundary value problem of a deformed inelastic body is governed by a minimization principle. In this context dual variational settings for the definition of both the physical as well as the material forces are presented. This yields to the definition of material forces as the sensitivity of work with respect to change of Lagrangian, i.e. material coordinates. An application of the material force method to the description of elastic-plastic fracture mechanics is given. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)