Thermoelastic waves in a thin plate (Q1082104)
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scientific article; zbMATH DE number 3972294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Thermoelastic waves in a thin plate |
scientific article; zbMATH DE number 3972294 |
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Thermoelastic waves in a thin plate (English)
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1987
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In the present work we deal with the propagation of thermoelastic waves in a thin plate occupying the Cartesian space \((x_ 1\in [- \infty,+\infty],\quad x_ 2\in [-\alpha,+\alpha],\quad x_ 3\in [- \delta,+\delta])\). The analysis is based on the generalized theory of thermoelasticity proposed by \textit{H. W. Lord} and \textit{Y. Shulman} modified for plane stress problems [Mech. Phys. Solids 15, 299-309 (1967; Zbl 0156.227)]. A mathematical analysis is presented to study the wave motion characteristics of the plate and the proposed analysis is applied for the special cases of very short and very long waves.
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homogeneous and isotropic thin plate of infinite length
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plane stress
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frequency equation
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symmetrical and antisymmetrical motions
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phase velocity
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attenuation constant
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thermoelastic waves
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Cartesian space
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generalized theory of thermoelasticity
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wave motion characteristics
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very short
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very long waves
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