Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body

B. D. Annin; V. D. Bondar’; S. I. Senashov

doi:10.1134/S1990478920010020

Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body

B. D. Annin, V. D. Bondar’, S. I. Senashov

Theoretical Mechanics Section

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	6-8
Number of pages	3
Journal	Journal of Applied and Industrial Mathematics
Volume	14
Issue number	1
DOIs	https://doi.org/10.1134/S1990478920010020
Publication status	Published - 20 Mar 2020

Keywords

group analysis
invariant solutions
nonlinear elasticity model

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10.1134/S1990478920010020

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abstract = "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.",

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KW - nonlinear elasticity model

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Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body

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Keywords

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