TY - JOUR

T1 - Plane Strain Dynamics of an Incompressible Nonlinear-Elastic Body

AU - Bondar’, V. D.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - Nonlinear elasticity model in current state variables is used to study the plane strain dynamics of an incompressible body, and a system of nonlinear displacement and pressure equations is obtained. In the absence of bulk forces and in the assumption of quadratic elastic potential, the resulting equations that describe plane waves, self-similar motions, and stress fields in these motions are solved and studied. It is shown that several solutions of a certain type are possible both in wave and self-similar cases.

AB - Nonlinear elasticity model in current state variables is used to study the plane strain dynamics of an incompressible body, and a system of nonlinear displacement and pressure equations is obtained. In the absence of bulk forces and in the assumption of quadratic elastic potential, the resulting equations that describe plane waves, self-similar motions, and stress fields in these motions are solved and studied. It is shown that several solutions of a certain type are possible both in wave and self-similar cases.

KW - nonlinear elasticity model

KW - quadratic potential

KW - wave and self-similar solutions

UR - http://www.scopus.com/inward/record.url?scp=85073031247&partnerID=8YFLogxK

U2 - 10.1134/S0021894419040151

DO - 10.1134/S0021894419040151

M3 - Article

AN - SCOPUS:85073031247

VL - 60

SP - 704

EP - 711

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 4

ER -