The non-axisymmetric problem of the stress concentration in an unbounded elastic medium near a spherical slit (Q1315531)

Using the approach described in [(*) the author, J. Appl. Math. Mech. 55, No. 1, 120-128 (1991; Zbl 0757.73004)], the non-axisymmetric problem of the stress concentration in an unbounded elastic medium near a spherical slit is reduced to three, one-dimensional, separately solvable, integral equations. Their exact solution is obtained in a class of functions with non-integrable singularities and is used, as in (*), to derive simple formulae for the stress intensity factors.