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针对锻造工艺中的轴对称问题进行无网格伽辽金法数值模拟研究,基于Mises屈服准则和刚塑性流动理论给出轴对称问题的应力应变关系.通过移动最小二乘近似函数建立无网格伽辽金法的基本公式.在刚塑性本构关系和最小二乘法的基础上,基于马尔可夫变分原理建立无网格伽辽金法的求解列式.采用C++语言编制了轴对称无网格伽辽金法数值模拟程序.基于编制的程序进行了Waspaloy合金涡轮盘锻造过程的数值模拟,预测了锻件的最终形状和锻造过程中材料流动规律,获得了锻造过程中的节点和等效塑性应变分布规律.
A meshless Galerkin method was used to simulate the axial symmetry in the forging process. Based on the Mises yield criterion and the rigid-plastic flow theory, the stress-strain relationship of the axisymmetric problem was given. The meshless grid was established by moving the least square approximation Based on the rigid plastic constitutive relation and the least squares method, the Galerkin method based on Markov variational principle is established. The axisymmetric Grid Galerkin numerical simulation program.The numerical simulation of Waspaloy alloy turbine disk forging process was carried out based on the programmed program to predict the final shape of forging and the law of material flow during the forging process and to obtain the nodes in the forging process and equivalent Plastic strain distribution law.