Determination of Viscoelastic Stresses in Plates with Inclusions
| Autor: | V. M. Maksymovych, T. Ya. Solyar |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
Laplace transform Applied Mathematics General Mathematics 010102 general mathematics Mathematical analysis 02 engineering and technology Differential operator 01 natural sciences Inversion (discrete mathematics) Viscoelasticity Algebraic equation Boundary integral equations 020303 mechanical engineering & transports Transformation (function) 0203 mechanical engineering ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematical Sciences. 226:114-122 |
| ISSN: | 1573-8795 1072-3374 |
| DOI: | 10.1007/s10958-017-3523-0 |
| Popis: | We describe an approach to the determination of viscoelastic stresses in plates with inclusions. It is based on the method of boundary integral equations and the Laplace integral transformation. The formal solution of the problem of elasticity theory in which the differential operators are replaced with constants is constructed by the method of boundary integral equations and reduced to the solution of a system of algebraic equations. The corresponding system for the viscoelasticity problem is solved with the help of the Laplace integral transformation and a refined numerical-analytic formula for its inversion. |
| Databáze: | OpenAIRE |
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