An extended finite element method with higher-order elements for curved cracks

被引：171
|
作者：
Stazi, FL [1 ]
Budyn, E
Chessa, J
Belytschko, T
机构：
[1] Univ Roma La Sapienza, Dipartimento Ingn Struttrale & Geotecn, Rome, Italy
[2] Northwestern Univ, Dept Engn Mech, Evanston, IL 60208 USA
来源：
COMPUTATIONAL MECHANICS | 2003年 / 31卷 / 1-2期
关键词：
fracture; finite elements; crack propagation; extended finite element method;
D O I：
10.1007/s00466-002-0391-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A finite element method for linear elastic fracture mechanics using enriched quadratic interpolations is presented. The quadratic finite elements are enriched with the asymptotic near tip displacement solutions and the Heaviside function so that the finite element approximation is capable of resolving the singular stress field at the crack tip as well as the jump in the displacement field across the crack face without any significant mesh refinement. The geometry of the crack is represented by a level set function which is interpolated on the same quadratic finite element discretization. Due to the higher-order approximation for the crack description we are able to represent a crack with curvature. The method is verified on several examples and comparisons are made to similar formulations using linear interpolants.
引用
收藏
页码：38 / 48
页数：11
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