Local Eshelby matrix in eigen-variable boundary integral equations for solids with particles and cracks in full space

Tang, Yingjie, Ma, Hang, & Yan, Cheng (2016) Local Eshelby matrix in eigen-variable boundary integral equations for solids with particles and cracks in full space. Engineering Analysis with Boundary Elements, 71, pp. 59-69.

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Abstract

In order for the large scale numerical simulation of solids with particles and cracks, the concept of local Eshelby matrix has been introduced into the computational model of the eigen-variable boundary integral equation (BIE) to resolve the problem of interactions among particles and cracks by joining the two concepts of the eigenstrain and eigen COD. The local Eshelby matrix in the present paper is considered as an extension of the concept of Eshelby tensor in numerical form for both equivalent inclusions and cracks, defined on the group of near field particles and cracks in full space. Through some typical numerical examples, the computations of stress intensity factors (SIF) are carried out and compared with the results of the sub-domain method using the dual BIE. With the proposed computational model, it is verified not only the correctness and feasibility but also the high efficiency of the present solution procedure, showing the potential of the proposed method for large scale numerical simulation of solids with particles and cracks.

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ID Code: 98481
Item Type: Journal Article
Refereed: Yes
Keywords: mechanical property, fracture mechanics, numerical modeling, materials science, Local Eshelby matrix, Eigenstrain, Eigen COD, Near field group, Boundary integral equation
DOI: 10.1016/j.enganabound.2016.07.008
ISSN: 0955-7997
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MATERIALS ENGINEERING (091200) > Composite and Hybrid Materials (091202)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Funding:
Copyright Owner: Copyright 2016 Elsevier Ltd.
Deposited On: 29 Aug 2016 23:22
Last Modified: 06 Sep 2016 17:14

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