TY - EJOU AU - Htike, AU - Chen, Wen AU - Gu, Yan AU - Yang, Junjie TI - Material Point Method with RBF Interpolation T2 - Computer Modeling in Engineering \& Sciences PY - 2011 VL - 72 IS - 4 SN - 1526-1506 AB - This paper makes the first attempt to employ the Radial Basis Function (RBF) interpolation in the material point method (MPM), in which the shape function is based on RBF and polynomial function and satisfies the partition of unity and possesses Delta-function property. It is worthy of stressing that the RBF interpolation has the merit of high smoothness and is very accurate and can easily be applied to the MPM framework for mapping information between moving particles, known as material point in the MPM, and background grids. The RBF-based MPM is designed to overcome the unphysical results, such as shear stress distribution of the cantilever beam, in the traditional MPM with linear shape function. This study chooses the Mutiquadric (MQ) function as the RBF. The present strategy is tested to the benchmark cantilever beam and the circular disk impact problems. Numerical results are observed in good agreement with the analytical solutions and satisfy the conservation of energy. KW - Material point method KW - radial basis function KW - multiquadric KW - interpolation KW - meshless KW - stress analysis DO - 10.3970/cmes.2011.072.247