A micro-mechanics model for composites reinforced by regularly distributed particles with an inhomogeneous interphase
A micro-mechanics model for composites reinforced by regularly distributed particles with an inhomogeneous interphase
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DOI：
10.1016/j.commatsci.2009.04.003
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发表时间：
2009-08
影响因子：
3.3
通讯作者：
Yunpeng Jiang;K. Tohgo;Y. Shimamura
中科院分区：
文献类型：
--
作者：
Yunpeng Jiang;K. Tohgo;Y. Shimamura
基于 Mori-Tanaka 方法，开发了微观力学模型来研究规则分布颗粒增强复合材料的有效弹性性能。粒子的空间分布在三维空间中被认为是立方体对称的，并且通过晶胞模型进行了相应的有限元法（FEM）计算。另外，利用应变格林函数同时考虑粒子相互作用和分布，利用几何对称的必要条件确定指定应变格林函数。为了分析颗粒尺寸对复合材料有效性能的影响，引入双包含构型和相关理论来描述基体和颗粒之间界面的作用。最后，用显式形式表达的三个独立弹性常数描述了规则分布颗粒复合材料的整体弹性性能，并通过与有限元结果的比较验证了所建立模型的准确性。
Based on the Mori–Tanaka method, a micro-mechanics model is developed to study the effective elastic properties of composites reinforced by regularly distributed particles. The spatial distribution of particles is supposed to be cube symmetric in the three-dimensional space, and the corresponding finite element method (FEM) computation has been performed through a unit cell model. Additionally, particle interaction and distribution are simultaneously taken into account by using the strain Green’s function, and the specified strain Green’s function is determined by utilizing the necessary conditions of geometric symmetry. In order to analyze particle size effect on the effective properties of composites, the Double-inclusion configuration and related theory are introduced to describe the role of the interphase between the matrix and particles. Finally, the overall elastic properties of the composite with regularly distributed particles are described by three independent elastic constants expressed in the explicit form, and the accuracy of the developed model is verified by comparing with FEM results.