A general approach to conservation laws in viscoelasticity (Q1117742)
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scientific article; zbMATH DE number 4092903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general approach to conservation laws in viscoelasticity |
scientific article; zbMATH DE number 4092903 |
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A general approach to conservation laws in viscoelasticity (English)
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1988
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The equation of motion and the associated Lagrangian density of a linear viscoelastic solid are considered in terms of the Laplace transform of the displacement vector. A generalized form of Noether's theorem is applied where invariance is meant up to a divergence. Then a systematic approach is developed which allows the derivation of conservation laws with non-vanishing densities. As a preliminary application, new conservation laws are found and previous results are recovered.
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equation of motion
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Lagrangian density
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linear viscoelastic solid
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Laplace transform
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displacement vector
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Noether's theorem
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invariance
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divergence
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non-vanishing densities
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