An Enriched Edge-Based Smoothed FEM for Linear Elastic Fracture Problems

被引：8

作者：

Yang, Yongtao ^{[1
]}

Zheng, Hong ^{[2
]}

Du, Xiuli ^{[2
]}

机构：

[1] Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan 430071, Hubei, Peoples R China

[2] Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2017年 / 14卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Finite element method (FEM); edge-based smoothed FEM (ES-FEM); enriched edge-based smoothed FEM (eES-FEM); stress intensity factors (SIFs); generalized Galerkin method; FINITE-ELEMENT-METHOD; FATIGUE-CRACK PROPAGATION; NUMERICAL MANIFOLD METHOD; SINGULAR ES-FEM; MECHANICS PROBLEMS; NODAL INTEGRATION; MESHLESS METHOD; SIMULATION; PARTITION;

D O I：

10.1142/S0219876217500529

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Based on the edge-based smoothed FEM (ES-FEM) and the partition of unity, the first major items of Williams' series for the displacement field near the crack tip are incorporated in the test and trial function space, resulting in the enriched ES-FEM formulation, eEF-FEM. The eES-FEM does not differentiate any shape functions, avoiding the treatment of the 1/r singularity in computing the stiffness matrix. The complexity of computation is accordingly reduced. Meanwhile, it is pointed out that the variational foundation of the eES-FEM is the generalized Galerkin method. Typical numerical examples are analyzed, suggesting that the results of the eES-FEM are much better than either FEM or ES-FEM.

引用

页数：19

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