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

被引：17

作者：

Xie, Guizhong ^{[1
]}

Zhou, Fenglin ^{[2
]}

Li, Hao ^{[1
]}

Wen, Xiaoyu ^{[1
]}

Meng, Fannian ^{[1
]}

机构：

[1] Zhengzhou Univ Light Ind, Mech & Elect Engn Inst, Henan Prov Key Lab Intelligent Mfg Mech, Zhengzhou 450002, Henan, Peoples R China

[2] Hunan Univ Technol, Coll Mech Engn, Zhuzhou 412007, Peoples R China

来源：

FRONTIERS OF MECHANICAL ENGINEERING | 2019年 / 14卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Taylor expansion; crack front elements; stress intensity factors; dual boundary element method; STRESS SINGULARITY; SHEET;

D O I：

10.1007/s11465-019-0540-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

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 penny-shaped cracks and straight-edge crack problems are presented to illustrate the validity and efficiency of the developed crack front elements.

引用

页码：332 / 341

页数：10