Structure of a generalized rheologic body (Q2754720)
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scientific article; zbMATH DE number 1668370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of a generalized rheologic body |
scientific article; zbMATH DE number 1668370 |
Statements
4 November 2001
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generalized rheologic body
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generalized Hooke law
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stress tensor
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phase velocity
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attenuation coefficient
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relaxation time
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plane wave
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strain tensor
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linear differential operators
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0.8639486
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0.8591541
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0.8508224
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Structure of a generalized rheologic body (English)
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The author considers rheological bodies consisting of elastic and viscous elements joined serially or in parallel in different combinations. Rheological equations which generalize the Hooke law are written in the form \(P\sigma=Q\varepsilon\), where \(P\) and \(Q\) are linear differential operators, and \(\sigma\) and \(\varepsilon\) are stress and strain tensors. Combining two or more elements, the author derives rheological equations, and on their basis obtains expressions for phase velocities of plane waves, attenuation coefficients, times of relaxation and aftereffect.
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