插值重构有限元法在岩土工程中的应用

Applocation of Twice-interpolation FEM in Geo-engineering

针对大型岩土工程有限元模拟中等参元网格、三角形(四面体)网格、无网格等方法的缺陷,介绍了插值重构有限元法的基本原理,围绕把无网格法的特性应用到三角形(四面体)网格,改变其插值函数的思想,将这种方法应用到了岩土工程中。工程实例证明,此方法和传统的三角形(四面体)网格有限元法相比有着节点应力连续、精度高等优势,并且有着比等参元有更高的收敛率,在大型岩土工程中有着重要的应用价值。

Aiming at the defects of FEM method such as iso-parametrical mesh,the triangular （tetrahedral） mesh and the meshless,the theory of TFEM was introduced.Around the concept of applying the advantage ideas of meshless methods to FEM and reproducing the interpolation of FEM,it was applied to geo-engineering projects.Some engineering examples showed that this method possesses high accuracy and continuous stress on triangular （tetrahedral） mesh.