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

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

Журнал

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Вых. Данные

Год: 2020, Том: 14, Номер: 1, Страницы: 6-8 Страниц : 3 DOI: 10.1134/s1990478920010020

Ключевые слова

group analysis; invariant solutions; nonlinear elasticity model

Авторы

Annin B.D. ¹ , Bondar’ V.D. ² , Senashov S.I. ³

Организации

1	Lavrentev Institute of Hydrodynamics,
2	Novosibirsk State University
3	Reshetnev Siberian State University of Science and Technolog

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.

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

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

Scopus:	2-s2.0-85082005656
РИНЦ:	43260718
OpenAlex:	W3011903749

БД	Цитирований
Scopus	3
OpenAlex	2