Application research on metal rheological forming of reproducing kernel partial method

Abstract

The meshless method is a new numerical technology presented in recent years. It uses the moving least square (MLS) approximation as its shape function, and it is determined by the basic function and weight function. The weight function is the mainly determining factor, so it greatly affects the accuracy of the computational results. The process of cylinder compression was analyzed by using rigid-plastic meshless variational principle and programming reproducing kernel partial method (RKPM), the influence of node number, weight functions and size factor on the solution was discussed and the suitable range of size factor was obtained. Compared with the finite element method (FEM), the feasibility and validity of the method were verified, which proves a good supplement of FEM in this field and provides a good guidance for the application of meshless in actual engineering.

Keywords

numerical simulation / meshless method / reproducing kernel partial method(RKPM) / rheological forming

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