A doubly iterative BEM for solving crack closing in an elastic body

An algorithm for the two-dimensional elastic bodies with closed crack and defects loaded by a moving contact elastic body is proposed using a sub-regional boundary element method. Since the extent and status of the contact surface of two elastic bodies and the crack within the body are all not known in advance, a doubly iterative contact algorithm has been presented. The BEM program for solving the closed crack cases has been developed, some numerical examples have been calculated, and the results of the center crack cases are in good agreement with the analytical solution in classical fracture mechanics. In the condition of friction and non-friction, some coupling computational results of the SIF for the closed crack cases, which have different angles and loaded by a moving contact elastic body, have also been obtained by numerical computation. The cracked plate subjected to the moving contact elastic body has been analyzed under the conditions of drilling hole near the crack.