Evaluation of the mode I stress intensity factor for a square crack in 3D

被引：13

作者：

Helsing, J ^{[1
]}

Jonsson, A

Peters, G

机构：

[1] Royal Inst Technol, Dept Solid Mech, SE-10044 Stockholm, Sweden

[2] Royal Inst Technol, NADA, SE-10044 Stockholm, Sweden

[3] Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden

来源：

ENGINEERING FRACTURE MECHANICS | 2001年 / 68卷 / 05期

关键词：

square crack; stress intensity factors; hypersingular integral equation; corner singularity;

D O I：

10.1016/S0013-7944(00)00115-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An algorithm for the computation of mode I stress intensity factors of a square crack together with an error estimate is presented. The algorithm is based on a hypersingular integral equation. The leading singular behavior of the crack opening displacement in the corners is taken into account. The maximum value of the normalized stress intensity factor, F-max, is estimated to F-max = 0.7534 +/- 0.0002. Previous investigators have estimated this quantity in the interval F-max = 0.725 to F-max = 0.756. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：605 / 612

页数：8

共 21 条

[1]

ABDELWAHAB MM, 1995, INT J FRACTURE, V70, P347

[2] NUMERICAL TREATMENT OF VERTEX SINGULARITIES AND INTENSITY FACTORS FOR MIXED BOUNDARY-VALUE-PROBLEMS FOR THE LAPLACE EQUATION IN R(3) [J].

BABUSKA, I ;

VONPETERSDORFF, T ;

ANDERSSON, B .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1994, 31 (05) :1265-1288

[3] A numerical mode I weight function for calculating stress intensity factors of three-dimensional cracked bodies [J].

BanksSills, L ;

Makevet, E .

INTERNATIONAL JOURNAL OF FRACTURE, 1996, 76 (02) :169-191

[4] 3-DIMENSIONAL HARMONIC-FUNCTIONS NEAR TERMINATION OR INTERSECTION OF GRADIENT SINGULARITY LINES - GENERAL NUMERICAL-METHOD [J].

BAZANT, ZP .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1974, 12 (03) :221-243

[5] INTEGRAL-EQUATIONS METHOD FOR SOLVING PROBLEM OF A PLANE CRACK OF ARBITRARY SHAPE [J].

BUI, HD .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1977, 25 (01) :29-39

[6] Some particular solutions for penny-shaped crack problem by using hypersingular integral equation or differential-integral equation [J].

Chen, YZ ;

Lin, XY ;

Peng, ZQ .

ARCHIVE OF APPLIED MECHANICS, 1998, 68 (3-4) :271-280

[7] Fracture mechanics [J].

Erdogan, F .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (1-2) :171-183

[8]

FABRIKANT VI, 1989, APPL POTENTIAL THEOR, P230

[9] 2-DIMENSIONAL PRINCIPAL VALUE HYPERSINGULAR INTEGRALS FOR CRACK PROBLEMS IN 3-DIMENSIONAL ELASTICITY [J].

IOAKIMIDIS, NI .

ACTA MECHANICA, 1990, 82 (1-2) :129-134

[10]

ISIDA M, 1991, INT J FRACTURE, V52, P79

← 1 2 3 →