中文摘要：

利用无网格Galerkin法和小应变弹塑性理论，建立了金属塑性成形的EFG求解模型，其中采用变刚度法进行增量迭代计算，并利用坐标变换方法使之满足本质边界条件。编程对压印和斜轧两个塑性成形过程进行了模拟研究，得出了节点数目和增量步数对计算精度的影响规律。模拟结果表明所提出的方法在模拟金属塑性成形问题上是可行的，为基于EFG法的大变形问题的研究奠定了基础。

英文摘要：

The EFG （Element-free Galerkin） model for metal plastic forming is presented based on element-free Galerkin method and the small-strain elasto-plastic theory. Incremental iteration calculation is realized by using changeable stiffness method, and the transformation method is utilized to satisfy the essential boundary conditions. Indentation and skew rolling problems are simulated. The influence of the number of discrete nodes and iterative steps on the calculation accuracy is studied. The result shows that our model is feasible for solving metal plastic forming problems.