Abstract
In this article, introducing the method of radial basis function (RBF) into reproducing kernel particle method (RKPM), and the radial basis reproducing kernel particle method (RRKPM) is presented. The RRKPM has higher computational accuracy and better convergence than the RKPM. Then the RRKPM is used in elastic dynamic problem, and the weak form of integral is used to find the discretized governing equations. The penalty method is used to determine the essential boundary condition, and the two-point difference method is applied to discretizing the time. The RRKPM for elastic dynamic problem is constructed, and the accuracy and effectiveness of the RRKPM for elastic dynamic problem are verified by the numerical examples.
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