THE STUDY OF KERNEL FUNCTIONS IN IMPACT PROBLEM SIMULATION BY USING SPH METHOD

In this paper, the numerical convergence, accuracy, stability, efficiency, and reality of the SPH simulation of the impact problem are analyzed by using several different kernel functions. Three are traditional kernel functions of the quadratic function, the cubic bell function, and the quintic function. Others are their corresponding corrected zero-order consistency kernel functions with different denominators. Several unnoticed features in the formulations and the simulation results of the corrected kernel are pointed out. The availability of these kernel functions on the impact problem is discussed. To achieve reality, an unphysical adhesive phenomenon is avoided by introducing three separation conditions.