On the Motion of Shock Waves at a Constant Speed in Multimodulus Elastic Media


2018

Dudko O. V., Ragozina V. E.

Article

MECHANICS OF SOLIDS

ALLERTON PRESS INC, 18 WEST 27TH ST, NEW YORK, NY 10001 USA

Vol. 53, Iss.1.

P. 111-119

0,418

0025-6544

Dudko O.V., Ragozina V.E. On the Motion of Shock Waves at a Constant Speed in Multimodulus Elastic Media // MECHANICS OF SOLIDS (2018) Vol. 53, Iss.1. P. 111-119. DOI:10.3103/S0025654418010132

For piecewise linear models of multimodulus elastic media, exact analytical solutions of one-dimensional dynamic deformation problemswith plane or sphericalwave surfaces are presented. Compression-extension regimes with the appearance of a centered Riemann wave and extensioncompression with formation of a shock wave are considered. As the main solution method for the compression phase, we use the method of inverse determination of the boundary condition from known information on the nature ofmotion of the shock wave. Essential qualitative differences of the solutions obtained from the corresponding classical results for linearly elastic media are especially important in the study of the dynamics of porous and cohesive granular media.

10.3103/S0025654418010132

Web of Science