Generic unfolding of the thermoelastic contact instability (Q1597826)
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scientific article; zbMATH DE number 1748409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generic unfolding of the thermoelastic contact instability |
scientific article; zbMATH DE number 1748409 |
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Generic unfolding of the thermoelastic contact instability (English)
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3 June 2002
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The authors analyze the classical one-dimensional model of a thermoelastic rod fixed at one end and free to separate at the other end. A special boundary condition at the free end (known as Barber condition) is used to describe the thermoelastic contact instability. This boundary condition is characterized by a single function, called contact resistance function. In this work it is shown that for typical contact resistance a fold bifurcation is encountered. This represents a generic unfolding of the classical bifurcation (analyzed up to now in connection with this problem), and contains pitchfork bifurcation as a special case.
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one-dimensional thermoelastic rod
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contact resistance function
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fold bifurcation
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pitchfork bifurcation
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Barber boundary condition
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