V. Z. Stankevich, B. M. Stasyuk, O. M. Hai, “Dynamic analysis of interacting coplanar cracks in a half space with a clamped boundary condition using boundary integral equations”, Prikl. Mekh. Tekh. Fiz., 2005, Volume 46, Issue 1,Pages <nobr>153

This article is cited in 3 papers

Dynamic analysis of interacting coplanar cracks in a half space with a clamped boundary condition using boundary integral equations

V. Z. Stankevich^a, B. M. Stasyuk^b, O. M. Hai^c

^a L’viv Faculty of Dnipropetrovsk National University of Railway Transport, 79052, L’viv, Ukraine
^b "L’viv Politekhnika" National University, 79013, L’viv, Ukraine
^c Institute of Applied Problems of Mechanics and Mathematics, National Academy of Sciences, 79060, L’viv, Ukraine

Abstract: The three-dimensional dynamic problem of coplanar circular cracks in an elastic half-space with a clamped boundary condition is considered. The crack faces are subjected to harmonic loads. The problem is reduced to a system of two-dimensional boundary integral equations of the type of the Helmholtz potential for unknown discontinuities in the displacements of the opposite faces of the cracks. The stress intensity factors at the crack contours are obtained and discussed.

Keywords: elastic half-space, clamped boundary, plane cracks, steady vibrations, boundary integral equations.

UDC: 539.3

Received: 29.03.2004