NUMERICAL-SOLUTION OF A CURVED CRACK PROBLEM BY USING HYPERSINGULAR INTEGRAL-EQUATION APPROACH

The plane elastic problem for a curved crack problem is studied by means of the hypersingular integral equation approach. Based on the solution of a doublet of dislocation, the hypersingular integral equation for the curved crack problem is formulated. The unknown function involved is the crack opening displacement. Some hypersingular integrals along a curve are defined and several particular hypersingular integrals arc quadratured in a closed form. After the crack opening displacement function is approximated by a weight function multiplied by a polynomial, the hypersingular integral in the equation can be evaluated in a closed form and the regular integral can be integrated numerically. Finally, the solution is obtainable. Numerical examples with the calculated stress intensity factors are given.