Local Deformation and Crack Simulation of Plastic Thin Shell

Abstract

We present a mesh less method for local deformation and crack simulation of plastic thin shell. Although previous mesh less methods have done the similar simulations, there exists a problem that the moment matrix may be singular. And the result is that the shape function cannot be constructed to finish the simulation. Special work is needed to deal with the problem. In this paper, we propose a mesh less method ¨C Local Radial Basis Point Interpolation Method (LRPIM) to carry out the simulation. The shape function is constructed using the radial basis function and it guarantees that the moment is nonsingular without any assistance. Results show that our method is feasible and effective.