A new application of M- and L-integrals for the numerical loading analysis of two interacting cracks

被引：10

作者：

Judt, Paul O. ^{[1
]}

Ricoeur, Andreas ^{[1
]}

机构：

[1] Univ Kassel, Inst Mech, D-34125 Kassel, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2016年 / 96卷 / 01期

关键词：

J-integral; M-integral; L-integral; global approach; mixed-mode; crack interaction; crack propagation; crack paths; STRESS INTENSITY FACTORS; ENERGY-RELEASE RATES; CONSERVATION-LAWS; SOLIDS; DEFECTS;

D O I：

10.1002/zamm.201500012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new application of the path-independent M- and L-integrals in linear elastic fracture mechanics is presented for the accurate calculation of loading quantities related to two-cracks problems in engineering structures. Path-independent integrals are used to avoid special requirements concerning crack tip meshing and contour size. The numerical calculation of M-and L-integrals is performed along the external boundary of the model. This global contour includes both crack tips and thus the resulting values represent the sum of loading quantities related to each crack tip. A separation technique is necessary to calculate local values of the J-integral and stress intensity factors. Numerical examples of crack propagation simulations are presented and the resulting crack paths are verified and compared with those from conventional methods. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：24 / 36

页数：13

共 43 条

[1]

[Anonymous], 2000, Mechanics in Material Space with Applications to Defect and Fracture Mechanics

[2]

[Anonymous], Z VEREINES DTSCH ING

[3]

[Anonymous], 2000, Configurational forces as basic concepts of continuum physics

[4]

[Anonymous], 2011, CONFIGURATIONAL FORC

[5]

Barsoum R. S., 1976, International Journal for Numerical Methods in Engineering, V10, P25, DOI 10.1002/nme.1620100103

[6] DETERMINATION OF STRESS INTENSITY FACTORS BY USE OF PATH-INDEPENDENT INTEGRALS [J].

Bergez, Dominique .

MECHANICS RESEARCH COMMUNICATIONS, 1974, 1 (03) :179-180

[7]

BUDIANSKY B, 1973, J APPL MECH-T ASME, V40, P201, DOI 10.1115/1.3422926

[8] M- and Mc-Integrals for Multicracked Problems in Three Dimensions [J].

Chang, J. H. ;

Kang, Y. C. ;

Chung, L. G. .

JOURNAL OF ENGINEERING MECHANICS, 2013, 139 (12) :1874-1880

[9] Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions [J].

Chang, J. H. ;

Wu, W. H. .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2011, 48 (19) :2605-2613

[10] Evaluation of M-integral for anisotropic elastic media with multiple defects [J].

Chang, JH ;

Chien, AJ .

INTERNATIONAL JOURNAL OF FRACTURE, 2002, 114 (03) :267-289

← 1 2 3 4 5 →