Geodesic
About oblique impact by perfectly rigid body with plane boundary on the nonlinear elastic half-space
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 32-40

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In this paper the impact interaction of perfectly rigid body and nonlinear elastic solid,which have plane boundaries, are investigated. Suppose that the moving rigid body has constant velocity, resulting in self-similar formulation of the problem. Possible variants of wave combinations, arising from such interaction, are discussed. The existence condition for evolutionary shock waves and the thermodynamic discontinuities compatibility condition serve as criterions for choosing the wave pattern. The scheme for the solution of a self-similar boundary-value problem includes checking for the mentioned criterion during computations. 
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     author = {O. V. Dudko and D. A. Potyanikhin},
     title = {About oblique impact by perfectly rigid body with plane boundary on the nonlinear elastic half-space},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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O. V. Dudko; D. A. Potyanikhin. About oblique impact by perfectly rigid body with plane boundary on the nonlinear elastic half-space. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 32-40. http://geodesic.mathdoc.fr/item/ISU_2009_9_4_a4/