This article is cited in 6 papers

Invariant integrals in the problem of a crack on the interface between two media

A. M. Khludnev

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: The equilibrium problem for an elastic body containing a crack on the interface between two media is considered. It is proved that there exist invariant (independent of the integration surface) integrals in this problem. The existence of invariant integrals is also established in the problem of a contact between an elastic body and a rigid stamp. Nonlinear boundary conditions of mutual non-penetration are prescribed on the contact boundaries. The physical meaning of invariant integrals is established.

Keywords: invariant integral, elastic body, crack, contact problem.

UDC: 517.95

Received: 23.12.2004

 English version: Journal of Applied Mechanics and Technical Physics, 2005, 46:5, 717–729

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