Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions

被引：16

作者：

Chang, J. H. ^{[1
]}

Wu, W. H. ^{[2
]}

机构：

[1] Natl Cent Univ, Dept Civil Engn, Chungli, Taiwan

[2] Natl Cent Univ, Dept Math, Chungli, Taiwan

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2011年 / 48卷 / 19期

关键词：

Multiple cracks; Crack surface tractions; M-integral; Path-independence; Surface creation energy; ENERGY-RELEASE RATES; CONSERVATION LAWS; SOLIDS; MODULI;

D O I：

10.1016/j.ijsolstr.2011.05.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, an energy parameter based on the concept of the M-integral is proposed for describing the fracture behavior of a multi-cracked solid subjected to nonconservative and nonuniform crack surface tractions. By using the M-integral with a suitably chosen closed contour, one can evaluate the 'surface creation energy' (SCE) required for creation of the stressed cracks. Also, it is demonstrated that the property of path-independence holds even under the action of crack surface tractions. Therefore, the singular stress field in the near-tip areas is not directly involved in the calculation so that a complicated finite element model around the crack tips is not required in evaluation of the M-integral. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2605 / 2613

页数：9

共 15 条

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Broek D., 1983, ELEMENTARY ENG FRACT

[2]

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

[3] Surface energy for creation of multiple curved cracks in rubbery materials [J].