| Autor: |
Sergey G. Pshenichnov |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Structural Integrity ISBN: 9783319919881 |
| DOI: |
10.1007/978-3-319-91989-8_91 |
| Popis: |
The problems of propagation of non-stationary waves in linear viscoelastic bodies on condition that the Poisson’s ratio of the material does not change through the time are considered. The issues of finding of the solutions of such problems by the method of Laplace transform in time are discussed. The general form of the solution in transforms is presented. The case when a hereditary kernel is an exponential two-parametrical one is considered. We have demonstrated that in such case the singular points of the Laplace transforms are connected by a simple relation with singular points of the Laplace transforms for the corresponding elastic body. There have been conditions established under which the poles of transform have the first order and the original is simpler. As an example, the analytical solution of the problem of one-dimensional non-stationary longitudinal wave propagation in a viscoelastic cylinder is presented. This solution is valid within the whole range of time without the assumption of smallness of viscosity. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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