Abstract
The reproducing kernel particle method (RKPM) for the elastic mechanical problems of the functionally graded materials (FGM) is proposed in this paper. The corresponding formulae of the RKPM for the FGM are derived. Furthermore, the control parameter of influence domain radius, penalty factor and different node distribution on the calculation accuracy are discussed. The different functional gradient exponents of the FGM are analyzed. The numerical results illustrate that the RKPM is correct and effective to solve the elastic mechanical problems of the FGM.
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