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Eigenstrain Formulation Of Boundary Integral Equations For Modeling Particle-reinforced Composites

机译：用于模拟颗粒增强复合材料的边界积分方程的Eigenstrain公式

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摘要

A novel computational model is presented using the eigenstrain formulation of the boundary integral equations for modeling the particle-reinforced composites. The model and the solution procedure are both resulted intimately from the concepts of the equivalent inclusion of Eshelby with eigenstrains to be determined in an iterative way for each inhomogeneity embedded in the matrix. The eigenstrains of inhomogeneity are determined with the aid of the Eshelby tensors, which can be readily obtained beforehand through either analytical or numerical means. The solution scale of the inhomogeneity problem with the present model is greatly reduced since the unknowns appear only on the boundary of the solution domain. The overall elastic properties are solved using the newly developed boundary point method for particle-reinforced inhomogeneous materials over a representative volume element with the present model. The effects of a variety of factors related to inhomogeneities on the overall properties of composites as well as on the convergence behaviors of the algorithm are studied numerically including the properties and shapes and orientations and distributions and the total number of particles, showing the validity and the effectiveness of the proposed computational model.
机译：利用边界积分方程的特征应变公式提出了一种新型的计算模型，用于对颗粒增强复合材料进行建模。该模型和求解过程都是从Eshelby与本征应变的等效包含的概念中直接得出的，要以迭代方式确定嵌入在矩阵中的每个非均质性。不均匀性的本征应变是通过埃舍尔比张量确定的，可以预先通过分析或数值手段轻松获得。由于未知数仅出现在解决方案域的边界上，因此本模型的非均匀性问题的解决方案规模大大减小。使用本模型，对于具有代表性的体积元素，使用新开发的边界点方法解决了颗粒增强不均匀材料的整体弹性特性。从数值上研究了与不均匀性有关的多种因素对复合材料整体性能以及算法的收敛行为的影响，包括性能，形状，方向和分布以及颗粒总数，从而证明了有效性和有效性。所提出的计算模型的有效性。

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