Aiming at large scale numerical simulation of particle reinforced materials, a concept of local Eshelby matrix is introduced into a computational model of the eigenstrain boundary integral equation to solve the problem of interactions among particles. The local Eshelby matrix can be considered as an extension of Eshelby tensor and an equivalent inclusion in a numerical form. Taking the sub-domain boundary element method as the control, three-dimensional stress analyses are carried out for some ellipsoidal particles in infinite media with the proposed computational model. Numerical examples verify correctness, feasibility and high efficiency of the present model with the corresponding solution procedure, showing potential of solving large scale numerical simulations for particle reinforced materials.
MA Hang-1, FANG Jing-Be-2
. Eigenstrain boundary integral equation with local Eshelby matrix for ellipsoidal particles[J]. Journal of Shanghai University, 2015
, 21(03)
: 344
-355
.
DOI: 10.3969/j.issn.1007-2861.2014.01.039
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