Extended finite element method in computational fracture mechanics: a retrospective examination

被引：111
|
作者：
Sukumar, N. [1 ]
Dolbow, J. E. [2 ]
Moes, N. [3 ]
机构：
[1] Univ Calif Davis, Dept Civil & Environm Engn, Davis, CA 95616 USA
[2] Duke Univ, Dept Civil & Environm Engn, Durham, NC 27708 USA
[3] Ecole Cent Nantes, GeM Inst, F-44321 Nantes, France
来源：
INTERNATIONAL JOURNAL OF FRACTURE | 2015年 / 196卷 / 1-2期
基金：
美国国家科学基金会; 欧洲研究理事会;
关键词：
Elastic fracture; Strong discontinuities; Singularities; Cracks; Partition-of-unity enrichment; X-FEM; 3D CRACK-GROWTH; LEVEL SETS; X-FEM; SINGULAR FUNCTIONS; PART I; STRONG DISCONTINUITIES; WEAK DISCONTINUITIES; ENRICHMENT FUNCTIONS; QUADRATURE-RULES; CONTINUUM DAMAGE;
D O I：
10.1007/s10704-015-0064-8
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we provide a retrospective examination of the developments and applications of the extended finite element method (X-FEM) in computational fracture mechanics. Our main attention is placed on the modeling of cracks (strong discontinuities) for quasistatic crack growth simulations in isotropic linear elastic continua. We provide a historical perspective on the development of the method, and highlight the most important advances and best practices as they relate to the formulation and numerical implementation of the X-FEM for fracture problems. Existing challenges in the modeling and simulation of dynamic fracture, damage phenomena, and capturing the transition from continuum-to-discontinuum are also discussed.
引用
收藏
页码：189 / 206
页数：18
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