Journal of Shanghai University(Natural Science Edition) ›› 2015, Vol. 21 ›› Issue (03): 344-355.doi: 10.3969/j.issn.1007-2861.2014.01.039

• Metallurgical Materials • Previous Articles     Next Articles

Eigenstrain boundary integral equation with local Eshelby matrix for ellipsoidal particles

MA Hang1, FANG Jing-bo2   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2013-12-24 Online:2015-06-22 Published:2015-06-22

Abstract: 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.

Key words: eigenstrain, equivalent inclusion, Eshelby tensor, local Eshelby matrix, near field particle

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