EQUILIBRIUM PLANAR CRACK WITH CONTOUR ANGULAR POINTS IN ELASTIC LAYER

Abstract

The three - dimensional static problem of the elasticity theory on the elastic layer balance weakened by a flat rectangular crack is considered. The crack is located in the median la yer plane; it is su p ported open under the normal loading applied to its edges. The layer edges are under the smooth contact with two rigid bases. The problem is converted to the solution of the known singular i n tegro - differential equation concerning the cr ack opening function through the application of two - dimensional integral Fourier transformation to the equilibrium equation. The equation solution is constructed by the direct variational method. In neighborhood of the contour angular points, the sol ution completes the co n struction numerically, with regard for the early distinguished singularity. Values of the direct str ess intensity factor in neighborhood of the crack periphery are obtained. The solution behavioral features in neig hborhood of the contour r ectilinear sites and angular points are esta b lished.

Keywords

• crack
• contour
• stress intensity factor
• layer
• singular integral equation
• variational method
• fo rce fracture criterion
• salient point
• neighborhood
• layer relative thickness