Improved quarter-point crack tip element

被引:55
作者
Gray, LJ
Phan, AV
Paulino, GH
Kaplan, T
机构
[1] Univ Illinois, Dept Civil & Environm Engn, Newmark Lab 2209, Urbana, IL 61801 USA
[2] Oak Ridge Natl Lab, Div Comp Sci & Math, Oak Ridge, TN 37831 USA
基金
美国国家科学基金会;
关键词
fracture mechanics; stress intensity factors; quarter-point element; boundary integral analysis;
D O I
10.1016/S0013-7944(02)00027-9
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present a modification to the quarter-point crack tip element and employ this element in two-dimensional boundary integral fracture analysis. The standard singular element is adjusted so that the near-tip crack opening displacement satisfies a known constraint: the coefficient of the term which is linear in the distance to the tip must vanish. Stress intensity factors calculated with the displacement correlation technique are shown to be highly accurate, and significantly more accurate than with the standard element. The improvements are especially dramatic for mixed-mode problems involving curved and interacting cracks. (C) 2002 Published by Elsevier Science Ltd.
引用
收藏
页码:269 / 283
页数:15
相关论文
共 25 条
[1]  
Banks, 1991, APPL MECH REV, V44, P447, DOI [10.1115/1.3119488, DOI 10.1115/1.3119488]
[2]   DEGENERATE SOLID ELEMENT FOR LINEAR-FRACTURE ANALYSIS OF PLATE BENDING AND GENERAL SHELLS [J].
BARSOUM, RS .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1976, 10 (03) :551-564
[3]   TWO-DIMENSIONAL STRESS INTENSITY FACTOR COMPUTATIONS USING THE BOUNDARY ELEMENT METHOD [J].
BLANDFORD, GE ;
INGRAFFEA, AR ;
LIGGETT, JA .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1981, 17 (03) :387-404
[4]  
BONNET M, 1998, APPL MECH REV, V51, P669
[5]  
Bonnet M., 1995, Boundary integral equation methods for solids and fluids
[6]  
BREBBIA CA, 1984, BONDARY ELEMENT TECH
[7]  
CRUSE TA, 1988, BOUNDARY ELEMENT ANA
[8]   Symmetric BE method in two-dimensional elasticity: Evaluation of double integrals for curved elements [J].
Frangi, A ;
Novati, G .
COMPUTATIONAL MECHANICS, 1996, 19 (01) :58-68
[9]  
Gray LJ, 1998, SIAM J APPL MATH, V58, P428
[10]  
Gray LJ, 1998, ADV BOUND ELEM SER, P33