Calculation of J1 and J2 usting the L and M integrals

Path-independent integrals of linear plane elasticity are treated analytically and numerically. The application of the integrals and their physical significance in terms of energy-release rates are illustrated with a closed-form solution of the hole-dislocation-interaction problem. It is shown that the use of the L and M integrals, besides J sub 1 and J sub 2, is benefical to the numerical investigation of cracks under mixed-mode conditions.