Continuous smoothed particle hydrodynamics for cracked nonconvex bodies by diffraction criterion

Abstract

The continuous smoothed particle hydrodynamics (CSPH) method is proposed to modify the kernel approximation in the smoothed particle hydrodynamics (SPH). The diffraction criterion is embedded in the framework of standard SPH. CSPH dramatically improves the computational ability in cracked bodies. Three numerical cases of cracked bodies, including dynamic stress intensity factor (DSIF) of a central crack, tensile fracture of brittle materials and Kalthoff’s experiment, are employed to verify the ability of the proposed method. It is found that the numerical results obtained by CSPH are in good agreement with the previous experimental and numerical results, implying the robustness and feasibility of the proposed method.