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Published October 15, 2014 | public
Journal Article

Shock wave propagation through a model one dimensional heterogeneous medium


We study the problem of impact-induced shock wave propagation through a model one-dimensional heterogeneous medium. This medium is made of a model material with spatially varying parameters such that it is heterogeneous to shock waves but homogeneous to elastic waves. Using the jump conditions and maximal dissipation criteria, we obtain the exact solution to the shock propagation problem. We use it to study how the nature of the heterogeneity changes material response, the structure of the shock front and the dissipation.

Additional Information

© 2014 Elsevier Ltd. Received 26 December 2013; Received in revised form 15 May 2014; Available online 15 July 2014. We are grateful to G. Ravichandran for numerous discussions and many insightful comments during the course of this work. This work was made possible by the financial support of the US Air Force Office of Scientific Research through the Center of Excellence in High Rate Deformation Physics of Heterogeneous Materials (Grant: FA 9550-12-1-0091).

Additional details

August 22, 2023
October 18, 2023