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Journal of Shanghai University >

2016 , Vol. 22 >Issue 5: 533 - 544

DOI: https://doi.org/10.3969/j.issn.1007-2861.2015.02.020

Dual boundary integral equations and numerical solutions for particles and cracks in full space

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  • 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received date: 2015-05-11

  Online published: 2016-10-31

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Abstract

As elastic solids contain particles and cracks, a computational model is proposed for the analysis of particles and cracks in full space using dual boundary integral equations in the displacement discontinuity formulation. The method avoids the difficulty of loading the objects under study in full space. Numerical analysis is carried out for some typical cases with a few particles and cracks using a discrete form of boundary integral equations. A boundary point method and Gauss collocation are used for discretization of the particle boundary or interface, and the crack surface, respectively. The stress intensity factors of cracks are computed. Mutual effects between particles and cracks are investigated and compared with those in the literature, verifying correctness and reliability of the proposed computational model and the program.

Key words： numerical solution;  dual boundary integral equation;  stress intensity factor; crack; particle

Cite this article

MA Hang1, PAN Meng2 . Dual boundary integral equations and numerical solutions for particles and cracks in full space[J]. Journal of Shanghai University, 2016 , 22(5) : 533 -544 . DOI: 10.3969/j.issn.1007-2861.2015.02.020

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