Abstract
We develop an computational method by the finite cover method (FCM) incorporated with the discontinuous Galerkin approximation for simulating fracture behavior in heterogeneous solids. The FCM is formulated and then the discontinuous Galerkin approximaiton is intoduced for imposing interface compatibility conditions. On the ohter hand, the fracture behavior on cracking surfaces is represented by the cohesive crack model, which realizes smooth transition from continuity to discontinuity in the fracuture process zone near the crack-tip. Representative numerical examples demonstrate the performance of the proposed method.