Invariant integrals in the problem of a crack on the interface between two media. (Russian, English) Zbl 1125.74365

Khludnev, A. M.

Prikl. Mekh. Tekh. Fiz. 46, No. 5, 123-137 (2005); translation in J. Appl. Mech. Tech. Phys. 46, No. 5, 717-729 (2005).

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.

Reviewer: N. I. Alexandrova (Novosibirsk)

MSC:

74M15	Contact in solid mechanics
74R10	Brittle fracture

Keywords:

invariant integral; elastic body; crack; contact problem