Numerical Calculations Models for Physical-Mechanical Systems

Exact Solution Of One Dynamic Problem In The Elasticity Theory Under Finite Strains

K. M. Zingerman

Tver State University

Abstract: The partial analytical solution of dynamic equations of the theory of elasticity is obtained under finite strains for one-dimensional case for a compressible material which mechanical properties are described by two-constant potential. The solution is self-similar.

Keywords: Nonlinear elasticity, finite strains, dynamic problem, analytical solution, self-similar solution.

UDC: 539.3

Received: 20.06.2013
Revised: 25.06.2013