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Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body. / Annin, B. D.; Bondar’, V. D.; Senashov, S. I.

In: Journal of Applied and Industrial Mathematics, Vol. 14, No. 1, 20.03.2020, p. 6-8.

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

Harvard

Annin, BD, Bondar’, VD & Senashov, SI 2020, 'Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body', Journal of Applied and Industrial Mathematics, vol. 14, no. 1, pp. 6-8. https://doi.org/10.1134/S1990478920010020

APA

Annin, B. D., Bondar’, V. D., & Senashov, S. I. (2020). Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body. Journal of Applied and Industrial Mathematics, 14(1), 6-8. https://doi.org/10.1134/S1990478920010020

Vancouver

Annin BD, Bondar’ VD, Senashov SI. 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 Mar 20;14(1):6-8. doi: 10.1134/S1990478920010020

Author

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. In: Journal of Applied and Industrial Mathematics. 2020 ; Vol. 14, No. 1. pp. 6-8.

BibTeX

@article{b261ea610f2742a992543b95a44fe5b8,
title = "Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body",
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.",
keywords = "group analysis, invariant solutions, nonlinear elasticity model",
author = "Annin, {B. D.} and Bondar{\textquoteright}, {V. D.} and Senashov, {S. I.}",
year = "2020",
month = mar,
day = "20",
doi = "10.1134/S1990478920010020",
language = "English",
volume = "14",
pages = "6--8",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Group Analysis and Exact Solutions of the Dynamic Equations of Plane Strain of an Incompressible Nonlinearly Elastic Body

AU - Annin, B. D.

AU - Bondar’, V. D.

AU - Senashov, S. I.

PY - 2020/3/20

Y1 - 2020/3/20

N2 - 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.

AB - 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.

KW - group analysis

KW - invariant solutions

KW - nonlinear elasticity model

UR - http://www.scopus.com/inward/record.url?scp=85082005656&partnerID=8YFLogxK

U2 - 10.1134/S1990478920010020

DO - 10.1134/S1990478920010020

M3 - Article

AN - SCOPUS:85082005656

VL - 14

SP - 6

EP - 8

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 1

ER -

ID: 23878802