CLOSED-FORM SOLUTIONS FOR FINITE-PART INTEGRALS OCCURRING IN SHEAR-MODE FRACTURE-MECHANICS

This contribution is a continuation of a recent paper by K. Mayrhofer and F. D. Fischer [1], deriving an analytical solution for a general t wo-dimensional finite-part integral appearing in tension-mode fracture mechanics. This paper corresponds to shear-mode fracture mechanics wh ere three further types of finite-part integrals occur. Their closed-f orm solutions will be introduced on the basis of an inclined, elliptic ally shaped crack. In general they can be expressed in terms of powere d input values and by means of the Gauss hypergeometric function 2F1. Formulae for different special cases are listed in the Appendices. The ir correctness has been checked by means of two different numerical me thods.