Validity of the hypersingular integral equation of crack problems in three-dimensional elasticity along the crack boundaries

Annular crack in an elastic half-space

The purpose of this article is to analytically investigate the three-dimensional thermoelastic fields in a semi-infinite medium weakened by an annular crack. The crack faces are exposed to a prescr...

Annular crack in a thermoelastic half-space

Three-dimensional elasticity problems of plane tensile crack elongated along the plane curve are considered. The asymptotic solution of the problems is obtained by the method of outer and inner expansions applied directly to the two-dimensional integro-differential equation for the displacement of crack surface points. The formulae for crack opening and distribution of stress intensity factors are derived for various crack forms. Some estimates are found of the stress intensity factor in the small neighbourhoods of ends of the curve along which the crack extends and where the above mentioned asymptotic formulae don't hold. Comparison of obtained results with known analytical and numerical solutions demonstrates the high efficiency of our formulae.

T. B. Kermanidis

Papers

An approximate solution of the annular crack problem