Meshless simulation of plastic deformation and crack

Authors:
Liang Zeng;Bo Wu;Jiangfan Ning;Jiawen Ma;Sikun Li
Affiliations:
School of Computer, National University of Defense Technology, Changsha, China;School of Computer, National University of Defense Technology, Changsha, China;School of Computer, National University of Defense Technology, Changsha, China;School of Computer, National University of Defense Technology, Changsha, China;School of Computer, National University of Defense Technology, Changsha, China
Venue:
Transactions on Edutainment VIII
Year:
2012

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Abstract

We present a meshless method for local deformation and crack simulation of plastic thin shell. Although previous meshless methods have done the similar simulations, there exists a problem that the moment matrix will be singular when the simulation points are co-planar or co-linear. The consequence is that the shape function cannot be constructed to finish the simulation and special work is needed to deal with the problem. In this paper, we propose a meshless method --- Local Radial Basis Point Interpolation Method (LRPIM) to carry out the simulation. The shape function is constructed using the radial basis function (RBF) and polynomial basis function, and it guarantees that the moment matrix is nonsingular without any other assistance. Results show that our method is feasible and effective.