Instability analysis and shear band spacing in gradient-dependent thermoviscoplastic materials with finite speeds of thermal waves (Q2731523)
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scientific article; zbMATH DE number 1626068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Instability analysis and shear band spacing in gradient-dependent thermoviscoplastic materials with finite speeds of thermal waves |
scientific article; zbMATH DE number 1626068 |
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16 January 2002
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finite speeds of thermal waves
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stability analysis
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infinitesimal perturbations
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homogeneous solution
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strain-rate gradient-dependent thermoviscoplastic body
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shear band spacing
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simple shear deformations
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Instability analysis and shear band spacing in gradient-dependent thermoviscoplastic materials with finite speeds of thermal waves (English)
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The authors perform a stability analysis of infinitesimal perturbations superimposed on a homogeneous solution of coupled nonlinear equations governing simple shear deformations of a strain-rate gradient-dependent thermoviscoplastic body. It is assumed that thermal disturbances propagate at a finite speed, and sufficient conditions for the growth of these propagations are derived. The effect of the finite speed of propagation of thermal waves on the shear band spacing is studied for simple shear deformations of strain-rate gradient-dependent thermoviscoplastic materials. Many numerical results illustrate the theory.
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