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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2009 Volume 9, Issue 4(2), Pages 32–40 (Mi isu86)

Mechanics

About oblique impact by perfectly rigid body with plane boundary on the nonlinear elastic half-space

O. V. Dudko, D. A. Potyanikhin

Institute of Automation and Control Processes FEB RAS, Vladivostok, Laboratory of a Deformable Solid Mechanics

Abstract: 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.

Key words: theory of elasticity, shock wave, shock interaction.

UDC: 539.3

DOI: 10.18500/1816-9791-2009-9-4-2-32-40



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