
Reproducing Kernel
Particle Method with Application to Numerical Simulation of Plate Rolling
Cui Qingling,Li Changsheng,Liu Xianghua,Wang Guodong,Xiong
Shangwu
(The State Key Laboratory of Rolling and Automation Northeastern University
Shenyang 110004)
Abstract: The principle of the reproducing
kernel particle method and the applic ation to slightly compressible rigid-plastic
material are presented. The penalty function is adopted to impose the essential boundary
condition, the tensor product weight function with a rectangular influence domain is
chosen, and the fin ite element background cell is considered as the integration unit. The
validity of RKPM is verified by comparing the result of plate rolling deduced from the
rigid-plastic model and the experimental data.
Keywords: reproducing kernel particle method, rigid-plastic materials,
penalty function, tensor product weight function, plate rolling.