Two-dimensional fields of thermoelasticity with relaxation times (Q1069330)
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scientific article; zbMATH DE number 3934470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-dimensional fields of thermoelasticity with relaxation times |
scientific article; zbMATH DE number 3934470 |
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Two-dimensional fields of thermoelasticity with relaxation times (English)
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1985
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The linear field equations for some two-dimensional problems of thermoelasticity with two relaxation times [propossed by \textit{A. E. Green} and \textit{K. A. Lindsay}, J. Elasticity 2, 1-7 (1972)] are derived. This model allows for a finite speed of propagation of thermal signals. There are treated the plane state of stress, the plane state of strain and the antiplane motion. For the first one the questionable conclusion is made that the constitutive law does not contain the temperature field. For the second one two unqueness theorems are proved. No applications are given.
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initial boundary value problem of classical elastodynamics type
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special distribution of heat sources
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initial boundary value problem in terms of the displacement and temperature
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natural stress-temperature initial boundary value problem
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two-dimensional problems
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thermoelasticity
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two relaxation times
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finite speed of propagation
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thermal signals
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plane state of stress
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plane state of strain
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antiplane motion
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