Pseudoelasticity and stress softening (Q2735158)
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scientific article; zbMATH DE number 1640157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudoelasticity and stress softening |
scientific article; zbMATH DE number 1640157 |
Statements
12 September 2001
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pseudoelasticity
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quasi-static stress softening response
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material symmetry
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strain-energy function
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deformation process
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softening variable
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0.89145136
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0.8871989
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0.8834522
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0.87805504
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0.87357676
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Pseudoelasticity and stress softening (English)
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The author studies a particular case of nonlinear inelastic behavior of solids, called pseudoelasticity. In pseudoelasticity the quasi-static stress softening response of a material can be described by allowing the strain-energy function to change, either continuously or discontinuously, as the deformation process proceeds. Thus, the strain-energy function is written as \(W = W ({\mathbf F}, \eta),\) where \(\eta\) is an additional variable (damage or softening variable). Accordingly, the material properties can change during the deformation process. The author discusses material symmetry in this situation, and announces a more detailed study in a paper in preparation. In the rest of the paper, only isotropic materials are considered. Several problems are studied in order to illustrate the theory. At the end of the paper, the author also discusses the discontinuous case.NEWLINENEWLINEFor the entire collection see [Zbl 0962.00003].
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