NUMERICAL-SOLUTIONS OF SINGULAR INTEGRAL-EQUATIONS HAVING CAUCHY-TYPESINGULAR KERNEL BY MEANS OF EXPANSION METHOD

This paper is concerned with numerical solutions of singular integral equations with Cauchy-type singular kernel. It is well-known that this type of singular integral equations appears in the analysis of crack problems using the continuously distributed dislocation method. In add ition, it also appears in the analysis of notch problems using the bod y force method. In the present analysis, the unknown function of densi ties of dislocations and body forces are approximated by the product o f the fundamental density functions and polynomials. The accuracy of s tress intensity factors and stress concentration factors obtained by t he present method is verified through the comparison with the exact so lution and the reliable numerical solution obtained by other researche rs. The present method is found to give good convergency of the numeri cal results for notch problem as well as internal and edge crack probl ems.