On the kinematics of finite strain plasticity

In this paper, the representation of the kinematics of inelastic flow problems involving finite strains and rotations is discussed. The concept of multiplicatively decomposing of the deformation gradient into elastic and plastic components is utilized, where the plastic deformation gradient represen...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 1989, Vol.37 (5), p.647-665
Main Authors: Boyce, M.C., Weber, G.G., Parks, D.M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:In this paper, the representation of the kinematics of inelastic flow problems involving finite strains and rotations is discussed. The concept of multiplicatively decomposing of the deformation gradient into elastic and plastic components is utilized, where the plastic deformation gradient represents a stress-free, relaxed configuration. Here, it is demonstrated that the choice of relaxed configuration is not essential in the problem solution. Therefore, the kinematic decomposition of elastic-plastic deformation may be chosen to best analyse the specific material model of concern. This is demonstrated by analysing two specific materials, the planar single crystal and the glassy polymer, using various kinematic representations.
ISSN:0022-5096
DOI:10.1016/0022-5096(89)90033-1