Numerical simulation of dynamic fracture in functionally graded materials using peridynamic modeling with composite weighted bonds

In this paper, the peridynamic (PD) method with the composite weighted bond for functionally graded materials (FGMs) was proposed. The cracks propagation in FGMs under dynamic loading was analyzed. Both uniform refinement grid (m-convergence) and decreasing radius of PD horizon (6-convergence) of FGMs with double pre-crack were given. The effects of the micromodulus functions and material gradient form on the crack propagation were discussed, and it was found that the micromodulus function's effect on the crack propagation pattern was limited, while the effect of the gradient form of FGMs is existed. The numerical results show that there is almost no difference between the proposed composite weighted bond model and the previous model for FGMs with single pre-crack. By comparing the numerical results of the proposed model with the results from the experiment, the present PD model for FGMs is valid and effective.