Approximate analytical solution for the problem of an inclusion in a viscoelastic solid under finite strains
| Autor: | K. M. Zingerman, D. A. Shavyrin |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Laplace transform
Mechanical Engineering General Chemical Engineering Mathematical analysis Aerospace Engineering Perturbation (astronomy) 02 engineering and technology Symbolic computation 01 natural sciences Viscoelasticity 010101 applied mathematics Nonlinear system 020303 mechanical engineering & transports 0203 mechanical engineering Finite strain theory Solid mechanics Geometrical nonlinearity General Materials Science 0101 mathematics Mathematics |
| Zdroj: | Mechanics of Time-Dependent Materials. 20:139-153 |
| ISSN: | 1573-2738 1385-2000 |
| DOI: | 10.1007/s11043-015-9288-2 |
| Popis: | The approximate analytical solution of a quasi-static plane problem of the theory of viscoelasticity is obtained under finite strains. This is the problem of the stress–strain state in an infinite body with circular viscoelastic inclusion. The perturbation technique, Laplace transform, and complex Kolosov–Muskhelishvili’s potentials are used for the solution. The numerical results are presented. The nonlinear effects and the effects of viscosity are estimated. |
| Databáze: | OpenAIRE |
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