Uflyand-Mindlin's plate equations in thermoelasticity with one relaxation time (Q1069331)
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scientific article; zbMATH DE number 3934471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uflyand-Mindlin's plate equations in thermoelasticity with one relaxation time |
scientific article; zbMATH DE number 3934471 |
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Uflyand-Mindlin's plate equations in thermoelasticity with one relaxation time (English)
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1985
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Based on the linear isotropic thermoelastic theory the dynamic plate equations of the Uflyand-Mindlin type are derived. The inclusion of a relaxation time in the heat conduction equation leads to a finite thermal wave velocity. The temperature is approximated by a polynomial of third degree along the plate thickness. Two formulations are given for the initial-boundary value problem: Stress-temperature equations and displacement-temperature equations, respectively. For both of them the uniqueness of solutions is proved.
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linear isotropic thermoelastic theory
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dynamic plate equations
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Uflyand- Mindlin type
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relaxation time
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heat conduction equation
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finite thermal wave velocity
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polynomial of third degree
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initial-boundary value problem
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Stress-temperature equations
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displacement-temperature equations
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