The extended/generalized finite element method: An overview of the method and its applications

被引：1081
作者：
Fries, Thomas-Peter [1 ]
Belytschko, Ted [2 ]
机构：
[1] Rhein Westfal TH Aachen, D-52062 Aachen, Germany
[2] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2010年 / 84卷 / 03期
关键词：
review; extended finite element method; XFEM; generalized finite element method; GFEM; partition of unity method; PUM; LEVEL-SET METHOD; SUPERCONVERGENT PATCH RECOVERY; POSTERIORI ERROR ESTIMATION; MODELING CRACK-GROWTH; MESH-BASED HANDBOOKS; ARBITRARY DISCONTINUITIES; BOUNDARY-CONDITIONS; HELMHOLTZ-EQUATION; GENERALIZED FEM; PART II;
D O I：
10.1002/nme.2914
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non-smooth features within elements. This is achieved by enriching the polynomial approximation space of the classical finite element method. The GEFM/XFEM has shown its potential in a variety of applications that involve non-smooth solutions near interlaces: Among them are the simulation of cracks, shear hands, dislocations, solidification, and multi-field problems. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码：253 / 304
页数：52
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