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On Configurational Aspects of Finite Deformation Inelasticity: A Variational Approach Versus the Transformation of Balance of Momentum
The main goal of this contribution consists in reviewing two different approaches that both account for the so-called material or rather configurational balance of linear momentum representation. One formulation considered is based on variational strategies, the other framework studied makes use of transforming the standard spatial balance of linear momentum relation. While the similarity of both approaches is obvious for the purely elastic case — in other words, when all quantities of interest are derived from potentials — inelastic response requires, in view of the variational formulation, incremental strategies and, moreover, renders additional contributions to the volume forces that reflect the material's inhomogeneity. The general kinematics framework is kept as simple as possible but embedded into a large strain setting, i.e. a simple continuum is considered, the multiplicative decomposition or rather the introduction of a material isomorphism is adopted, and further hardening effects are neglected.
On Configurational Aspects of Finite Deformation Inelasticity: A Variational Approach Versus the Transformation of Balance of Momentum
The main goal of this contribution consists in reviewing two different approaches that both account for the so-called material or rather configurational balance of linear momentum representation. One formulation considered is based on variational strategies, the other framework studied makes use of transforming the standard spatial balance of linear momentum relation. While the similarity of both approaches is obvious for the purely elastic case — in other words, when all quantities of interest are derived from potentials — inelastic response requires, in view of the variational formulation, incremental strategies and, moreover, renders additional contributions to the volume forces that reflect the material's inhomogeneity. The general kinematics framework is kept as simple as possible but embedded into a large strain setting, i.e. a simple continuum is considered, the multiplicative decomposition or rather the introduction of a material isomorphism is adopted, and further hardening effects are neglected.
On Configurational Aspects of Finite Deformation Inelasticity: A Variational Approach Versus the Transformation of Balance of Momentum
Steinmann, P. (editor) / Menzel, A. (author) / Svendsen, B. (author)
IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics ; Chapter: 4 ; 37-46
IUTAM Bookseries ; 17
2009-01-01
10 pages
Article/Chapter (Book)
Electronic Resource
English
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