Solutions of Non-stationary Dynamic Problems of Linear Viscoelasticity
Autor: | S. G. Pshenichnov, E. A. Korovaytseva |
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Rok vydání: | 2019 |
Předmět: |
Shear waves
Laplace transform General Mathematics 010102 general mathematics Mathematical analysis Process (computing) Space (mathematics) Viscoelastic cylinder 01 natural sciences Viscoelasticity 010305 fluids & plasmas Physics::Fluid Dynamics Dynamic problem 0103 physical sciences 0101 mathematics Algebra over a field Mathematics |
Zdroj: | Lobachevskii Journal of Mathematics. 40:328-334 |
ISSN: | 1818-9962 1995-0802 |
Popis: | The problems of non-stationary waves propagation in linear viscoelastic bodies are considered. The issues related to the construction of the solutions of such problems by method of integral Laplace transform in time are discussed. The statements about the properties of the solution in the space of Laplace transforms, which simplify the process of finding the originals, are formulated. As an example, the solution of the problem of propagation of one-dimensional shear waves in a viscoelastic cylinder is obtained. |
Databáze: | OpenAIRE |
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