Yu. O. Vasilieva, V. V. Sil'vestrov, “Concentrated force acting near the tip of an interface crack with a rigid overlay on its side”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22),Pages <nobr>191

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mechanics

Concentrated force acting near the tip of an interface crack with a rigid overlay on its side

Yu. O. Vasilieva^a, V. V. Sil'vestrov^b

^a Dept. of Mathematical Analysis and Differential Equations, Chuvash State University, Cheboksary
^b Dept. of Higher Mathematics, Gubkin Russian State University of Oil and Gas, Moscow

Abstract: Plane stress state near the tip of an interface crack induced by specified concentrated force is considered. One of the crack faces is partially reinforced by a rigid straight line overlay. The complex potentials, the stress intensity factors at the crack-tip are found, corresponding plots are presented.

Keywords: crack, rigid overlay, concentrated force, piecewise-homogeneous elastic plane, stresses, stress intensity factors, hypergeometric function.

UDC: 539.3

MSC: Primary 74B05; Secondary 74Rxx, 33Cxx

Original article submitted 27/I/2011
revision submitted – 14/III/2011

DOI: 10.14498/vsgtu918