针对粒子增强材料的大规模数值模拟问题, 将局部Eshelby 矩阵的概念引入到本征应变边界积分方程计算模型中, 以解决粒子间的相互作用问题. 局部Eshelby 矩阵可以看作Eshelby 张量和等效夹杂物的概念在数值方面的一种拓广. 以全空间边界元子域法为参照, 利用计算模型对无限域中的若干椭球粒子进行了三维应力分析. 数值算例不仅验证了模型的正确性和方法的可行性, 也表现出较高的计算效率, 说明该计算模型和方法具有对粒子增强材料进行大规模数值分析的能力.
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.
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