Application in metal rheological forming of element-free Galerkin method

Abstract

The element-free method is a new numerical technique 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 element-free Galerkin method(EFGM) was applied for the solution to plastic large deformation. The simulation of metal rheological forming was successfully done by programming and its results were visualized by using the plotting and data analyses software Tecplot. Then plastic strain under different stages during rheological forming and the three principal stresses at the last deformation were obtained. The example shows the feasibility of EFGM used for metal rheological forming and provides a new method for numerical simulation of rheological forming of complex parts.

Keywords

element-free Galerkin method / weight function / rheological forming / numerical simulation

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