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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:48

Article

Chang, J. H.¹  Wu, W. H.² 

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

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

关键词: Multiple cracks;    Crack surface tractions;    M-integral;    Path-independence;    Surface creation energy;   

DOI  :  10.1016/j.ijsolstr.2011.05.005

来源: Elsevier

【 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.

【 授权许可】

Free