Abstract
AbstractThe Riemann problem for an irreversibly compressible medium has been solved. This solution introduces the maximum medium density that is attained in the process of active loading. To close the system of equations an extra equation is required to describe the transfer of this parameter through the Eulerian mesh. The possible wave configurations have been analyzed and the corresponding equations for the evaluation of the contact pressure and velocity have been obtained. The existence and uniqueness of the solution have been proven. The technique of the Riemann problem's solution for the arbitrary Lagrange Euler mesh was developed. Examples of the Riemann problem solution for various wave configurations show that neglecting the bulk elastic plastic deformations yields significant errors in the results both quantitatively and qualitatively. Copyright © 2009 John Wiley & Sons, Ltd.
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