Mixed-mode dynamic stress intensity factors by variation technique with finite block method

摘要

The variational technique has been extended to calculate the dynamic stress intensity factors with the meshless finite block method in this paper. The Lagrange series are utilized to formulate the meshless approach in the normalized domain with coordinate mapping technique for practical problems. The stress intensity factors are evaluated by a variation of crack length for the mixed-mode fracture problems. Based on the static reference, the stress intensity factors in the Laplace space are determined with the boundary integral and domain integral. The Durbin inversion method is utilized to determine the time-dependent stress intensity factors. The applications of the proposed technique to two-dimensional fracture mechanics are demonstrated with three examples. Comparisons are made with the boundary element method and the meshless method in order to demonstrate the efficiency and accuracy of the proposed method.