A family of non-conforming crack front elements of quadrilateral and triangular types for 3D crack problems using the boundary element method  

作　　者：Guizhong XIE Fenglin ZHOU Hao LI Xiaoyu WEN Fannian MENG 

机构地区：[1]Henan Provincial Key Laboratory of Intelligent Manufacturing of Mechanical, Mechanical and Electrical Engineering Institute, Zhengzhou University of Light Industry, Zhengzhou 450002, China [2]College of Mechanical Engineering, Hunan University of Technology, Zhuzhou 412007, China

出　　处：《Frontiers of Mechanical Engineering》2019年第3期332-341,共10页机械工程前沿（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 11602229 and 11602082);Hunan Provincial Natural Science Foundation of China (Grant No. 2017JJ3061);Key Scientific and Technological Project of Henan Province (Grant No. 192102210227).

摘　　要：This study focuses on establishing nonconforming crack front elements of quadrilateral and triangular types for 3D crack problems when the dual boundary element method is applied. The asymptotic behavior of the physical variables in the area near the crack front is fully considered in the construction of the shape function. In the developed quadrilateral and triangular crack front elements, the asymptotic term, which captures the asymptotic behavior of the physical variable, is multiplied directly by the conventional Lagrange shape function to form a new crack front shape function. Several benchmark numerical examples that consider pennyshaped cracks and straight-edge crack problems are presented to illustrate the validity and efficiency of the developed crack front elements.

关 键 词：TAYLOR expansion CRACK FRONT ELEMENTS stress intensity factors dual boundary element method 

分 类 号：TH[机械工程]