The system of integral equations in dynamic contact problem of interaction between two ring plates with heat generation by friction (Q2754711)
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scientific article; zbMATH DE number 1668365
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The system of integral equations in dynamic contact problem of interaction between two ring plates with heat generation by friction |
scientific article; zbMATH DE number 1668365 |
Statements
4 November 2001
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thermoelasticity
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plane strain
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heat generation by friction
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finite Hankel transform
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radially symmetric problem
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plane stress
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heat conduction
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centrifugal forces
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system of integral equations of convolution type
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temperature gradients
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contact pressure
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The system of integral equations in dynamic contact problem of interaction between two ring plates with heat generation by friction (English)
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The author considers a radially symmetric problem in either plane strain or plane stress formulation. The problem requires a simultaneous integration of heat conduction equation and thermoelasticity equations which take into account centrifugal forces. Heat flow generated by friction is proportional to the tangential interfacial stress multiplied by the relative tangential velocity of bodies. The solution is constructed by using the finite Hankel transform in radial coordinate, which reduces the original problem to a system of integral equations of convolution type for temperature gradients and contact pressure at the interface.
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0.8009862899780273
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