工程应用中弹性力学问题的光滑边界有限元法研究

Study on the boundary element method for elastic mechanics problems in engineering applications

文章详细介绍了光滑有限元法(ES-FEM)的基本原理,并将其应用于求解弹性力学问题。ES-FEM采用光滑应变技术,在三角形单元边界围成的光滑区域内重构低阶有限元的应变场,从而改善低阶有限元系统矩阵"过刚"的问题。数值实验表明,ES-FEM的计算精度和效率都比FEM-T3的要高。

This paper introduces the basic principle of smoothed finite element method, and applied it to the ES-FEM elastic problems, reconstruction of low order finite element strain fields in the smooth regions surrounded by triangular element boundary, so as to improve the problem of ＂over rigidity＂. Numerical experiments show that the accuracy and efficiency of ES-FEM are higher than FEM-T3.