无网格法及其在金属成形中的应用综述

对无网格方法的定义、分类以及无网格方法在金属成形中的应用进行了综述。无网格方法主要根据函数近似方案和离散方程进行分类。函数近似方案是无网格方法的基础，函数近似方案的近似特征、近似精度和近似效率对无网格方法的分析计算能力具有重要影响。无网格法虽然不如有限元方法成熟，但是其具有很多有限元方法不具备的优点，如：近似函数没有网格依赖性、基函数可以包含反映问题特性的函数系列、采用紧支函数的无网格法具有带状稀疏系数矩阵等。由于无网格法对非线性问题的强大求解能力，使其在金属成形领域具有广阔的应用前景。

Summarization on meshfree method and its application in metal forming

It was summarized the definition, classification and application in metal forming of meshfree method. Meshfree method is clas-sified according to approximation scheme and dispersal equation. Function approximation scheme is the foundation of meshfree method. Analyzing ability of meshfree method is influenced seriously by approximate accuracy, approximate efficiency and approximate feature. Al-though meshfree method is less mature than finite element method, it has more advantages than finite element method. For example, ap-proximation function is independent of mesh, primary functions can include function series which reflect problem property and meshfree method with compact support function has banded sparse matrix. Messfree method is of wide application in metal forming fields because of its excellent solving ability for nonlinear problem.