Towards a catastrophe theory for the mechanics of plasticity and fracture (Q1058887)
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scientific article; zbMATH DE number 3902158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Towards a catastrophe theory for the mechanics of plasticity and fracture |
scientific article; zbMATH DE number 3902158 |
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Towards a catastrophe theory for the mechanics of plasticity and fracture (English)
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1985
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The catastrophe theory has established that the conservative systems have only a few ways to lose their stability. We sketch a similar classification for a class of dissipative systems. Although our scope is limited to the case of two dissipative variables, we find six elementary catastrophes. We present examples from discrete plasticity, crack and friction mechanics.
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symmetry breaking
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bifurcation
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Shanley column
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class of dissipative systems
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two dissipative variables
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six elementary catastrophes
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discrete plasticity
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friction mechanics
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