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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2013 Volume 16, Number 1, Pages 21–28 (Mi sjim763)

On the propagation of perturbations along an incompressible elastic medium with multimodulus shear resistance

O. V. Dudko, A. A. Lapteva

Institution of Russian Academy of Sciences Institute of Automation and Control Processes of Far-Eastern Branch of RAS, Vladivostok, Russia

Abstract: Under study the features of the propagation of boundary perturbations in the multimodulus incompressible elastic medium with a different resistance to shear stress applied in opposite directions. For the case of plane waves the one-dimensional boundary value problems of a shock shift by the boundary of the halfspace are solved. We show that some piecewise-linear multimodulus incompressible elastic medium nonlinear wave processes (strong and weak breaks, moving as a rigid body layers) can arise.

Keywords: incompressibility, multimodulus, elasticity, one-dimensional shear, dynamic deformation.

UDC: 539.37

Received: 07.11.2012
Revised: 20.02.2013



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