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Journal of Shanghai University >

2020 , Vol. 26 >Issue 5: 790 - 801

DOI: https://doi.org/10.12066/j.issn.1007-2861.2090

Research Articles

Modelling solids with fluid-filled pores using eigenstrain formulation of boundary integral equations

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

Received date: 2018-08-14

  Online published: 2018-12-23

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Abstract

In view of the fact that elastic solids contain fluid-filled pores, Eshelby's idea of eigenstrain and equivalent inclusion has been incorporated into the boundary integral equations (BIE), and as a result, the computational model of eigenstrain boundary integral equations and the corresponding iterative solution procedures are presented in the paper for the numerical simulation of solids with fluid-filled pores in great number. In order to guarantee the convergence of iteration sufficiently, the local Eshelby matrix has been proposed and constructed from the BIE combined with Eshelby's idea. The feasibility and effectiveness of the proposed computational model are verified in comparison with the results of the analytical solution in the case of a single circular fluid-filled pore in full space and of the subdomain BIE in other cases. The overall mechanical properties of solids are computed using a representative volume element (RVE) with more than one thousand fluid-filled pores distributed either regularly or randomly with the proposed computational model, showing the feasibility and high efficiency of the present model and the solution procedures.

Key words： fluid-filled pores; eigenstrain; Eshelby tensor; equivalent inclusion; local Eshelby matrix

Cite this article

ZHOU Jicheng, HE Donghong, MA Hang . Modelling solids with fluid-filled pores using eigenstrain formulation of boundary integral equations[J]. Journal of Shanghai University, 2020 , 26(5) : 790 -801 . DOI: 10.12066/j.issn.1007-2861.2090

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