Adaptive crack propagation analysis with the element-free Galerkin method

In this paper, an adaptive analysis of crack propagation based on the error estimation by the elementfree Galerkin (EFG) method is presented. The adaptivity analysis in quasi-static crack propagation is achieved by adding and=or removing the nodes along the background integration cells, those are re ned or recovered according to the estimated errors. These errors are obtained basically by calculating the di erence between the values of the projected stresses and original EFG stresses. To evaluate the performance of the proposed adaptive procedure, the crack propagation behaviour is investigated for several examples. The results of these examples show the e ciency and accuracy of the proposed scheme in crack propagation analysis