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The elastic dynamics analysis of FGM using a meshless RRKPM. (English) Zbl 1521.74431

Summary: The radial basis reproducing kernel particle method (RRKPM) has been constructed by introducing the radial basis function (RBF) into the reproducing kernel particle method (RKPM). In this article, the RRKPM is extended to the elastic dynamic analysis of the functionally graded material (FGM), and the elastic dynamics governing equation of the FGM based on the RRKPM is obtained. Then, the influence of the penalty factor, the scaling parameter and the shaped parameter are discussed. Finally, numerical examples of the FGM verify that the RRKPM has a smaller calculation error than the RKPM, and prove the correctness of the RRKPM for solving the elastic dynamics problems of the FGM.

MSC:

74S99 Numerical and other methods in solid mechanics
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
74B05 Classical linear elasticity
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