Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body
Under study is the plane strain dynamics of an incompressible body in the framework of a nonlinear model of elasticity which uses the actual state variables. We obtain some system of nonlinear equations for displacement and pressure, give the exact solutions of the equations by using group analysis,...
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| Veröffentlicht in: | Journal of applied and industrial mathematics 2020, Vol.14 (1), p.6-8 |
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| container_title | Journal of applied and industrial mathematics |
| container_volume | 14 |
| creator | Annin, B. D. Bondar’, V. D. Senashov, S. I. |
| description | Under study is the plane strain dynamics of an incompressible body in the framework of a nonlinear model of elasticity which uses the actual state variables. We obtain some system of nonlinear equations for displacement and pressure, give the exact solutions of the equations by using group analysis, and indicate the area of the possible application of these solutions. |
| doi_str_mv | 10.1134/S1990478920010020 |
| format | Article |
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| issn | 1990-4789 1990-4797 |
| language | eng |
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| source | SpringerLink Journals |
| subjects | Computational fluid dynamics Elastic bodies Exact solutions Mathematics Mathematics and Statistics Nonlinear equations Plane strain State variable |
| title | Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body |
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