Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Output data | Year: 2020, Volume: 14, Number: 1, Pages: 6-8 Pages count : 3 DOI: 10.1134/s1990478920010020 | ||||||
| Tags | group analysis; invariant solutions; nonlinear elasticity model | ||||||
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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.
Cite:
Annin B.D.
, Bondar’ V.D.
, Senashov S.I.
Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body
Journal of Applied and Industrial Mathematics. 2020. V.14. N1. P.6-8. DOI: 10.1134/s1990478920010020 Scopus РИНЦ OpenAlex
Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body
Journal of Applied and Industrial Mathematics. 2020. V.14. N1. P.6-8. DOI: 10.1134/s1990478920010020 Scopus РИНЦ OpenAlex
Original:
АННИН Б.Д.
, Бондарь В.Д.
, Сенашов С.И.
ГРУППОВОЙ АНАЛИЗ И ТОЧНЫЕ РЕШЕНИЯ ДИНАМИЧЕСКИХ УРАВНЕНИЙ ПЛОСКОЙ ДЕФОРМАЦИИ НЕСЖИМАЕМОГО НЕЛИНЕЙНО-УПРУГОГО ТЕЛА
Сибирский журнал индустриальной математики. 2020. Т.23. №1. С.11-15. DOI: 10.33048/sibjim.2020.23.102 РИНЦ OpenAlex
ГРУППОВОЙ АНАЛИЗ И ТОЧНЫЕ РЕШЕНИЯ ДИНАМИЧЕСКИХ УРАВНЕНИЙ ПЛОСКОЙ ДЕФОРМАЦИИ НЕСЖИМАЕМОГО НЕЛИНЕЙНО-УПРУГОГО ТЕЛА
Сибирский журнал индустриальной математики. 2020. Т.23. №1. С.11-15. DOI: 10.33048/sibjim.2020.23.102 РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85082005656 |
| Elibrary: | 43260718 |
| OpenAlex: | W3011903749 |