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Numerical solution of stress intensity factors of multiple cracks in great number with eigen COD boundary integral equations

Ma, H. , Guo, Z. , Yan, C., & Dhanasekar, M. (2012) Numerical solution of stress intensity factors of multiple cracks in great number with eigen COD boundary integral equations. Australian Journal of Mechanical Engineering, 11(1), pp. 1-10.

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    Abstract

    Based on the eigen crack opening displacement (COD) boundary integral equations, a newly developed computational approach is proposed for the analysis of multiple crack problems. The eigen COD particularly refers to a crack in an infinite domain under fictitious traction acting on the crack surface. With the concept of eigen COD, the multiple cracks in great number can be solved by using the conventional displacement discontinuity boundary integral equations in an iterative fashion with a small size of system matrix. The interactions among cracks are dealt with by two parts according to the distances of cracks to the current crack. The strong effects of cracks in adjacent group are treated with the aid of the local Eshelby matrix derived from the traction BIEs in discrete form. While the relatively week effects of cracks in far-field group are treated in the iteration procedures. Numerical examples are provided for the stress intensity factors of multiple cracks, up to several thousands in number, with the proposed approach. By comparing with the analytical solutions in the literature as well as solutions of the dual boundary integral equations, the effectiveness and the efficiencies of the proposed approach are verified.

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    ID Code: 53826
    Item Type: Journal Article
    Keywords: Multiple Cracks, Stress Intensity Factor, Eigen COD, Boundary Integral Equation, Local Eshelby Matrix
    ISSN: 1448-4846
    Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CIVIL ENGINEERING (090500) > Construction Materials (090503)
    Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > CIVIL ENGINEERING (090500) > Structural Engineering (090506)
    Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
    Current > Schools > School of Civil Engineering & Built Environment
    Current > QUT Faculties and Divisions > Science & Engineering Faculty
    Copyright Owner: Copyright 2010 Engineers Media
    Deposited On: 26 Sep 2012 12:40
    Last Modified: 28 Mar 2013 18:06

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