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Mechanics of Solids

, Volume 53, Issue 1, pp 111–119 | Cite as

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

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Abstract

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.

Keywords

elasticity multimodulus property piecewise linear model plane waves spherical waves shock wave simple discontinuity centered Riemann wave 

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© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of SciencesVladivostokRussia
  2. 2.Far East Federal UniversityVladivostokRussia

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