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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011 Number 4, Pages 33–39 (Mi vmumm700)

Mechanics

Wedging of an elastic medium with the formation of separation zones

A. V. Zvyagin, G. A. Romashov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The problem of motion of a rigid body in an elastic medium is solved analitically for the case when a separation region caused by asymmetry is formed in front of the body. A scheme of flow around wedge-shaped and ogive-shaped bodies is given for the entire range of the velocities under consideration. It is shown that there exists a limit velocity such that the separation region disappears when the body moves at a velocity greater than the velocity of transverse waves. The forces exerted on a wedge-shaped body and on an ogive-shaped body are the same in the case of the limit velocity.

Key words: contact fracture, theory of elasticity, dynamics.

UDC: 539.3

Received: 24.05.2010



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