A review of extended/generalized finite element methods for material modeling

被引：688

作者：

Belytschko, Ted ^{[1
]}

Gracie, Robert ^{[1
]}

Ventura, Giulio ^{[2
]}

机构：

[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA

[2] Politecn Torino, Dept Struct Engn & Geotec, I-10129 Turin, Italy

来源：

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING | 2009年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

COHESIVE CRACK-GROWTH; DISCRETE DISLOCATION PLASTICITY; QUASI-BRITTLE FRACTURE; FREE GALERKIN METHODS; FAST MARCHING METHOD; LEVEL SETS; X-FEM; DYNAMIC CRACK; ARBITRARY DISCONTINUITIES; WEAK DISCONTINUITIES;

D O I：

10.1088/0965-0393/17/4/043001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The extended and generalized finite element methods are reviewed with an emphasis on their applications to problems in material science: (1) fracture, (2) dislocations, (3) grain boundaries and (4) phases interfaces. These methods facilitate the modeling of complicated geometries and the evolution of such geometries, particularly when combined with level set methods, as for example in the simulation growing cracks or moving phase interfaces. The state of the art for these problems is described along with the history of developments.

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页数：24

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