中文摘要：

利用AUTOCAD绘制不同粒径的骨料随机分布于脆性基体的几何模型,导入ANSYS系统进行网格划分,建立有限元计算的特征体积单元;运用均匀化理论,计算了由随机骨料、基体和黏结层组成的三相复合材料的等效弹性模量,分析了随机颗粒的形状、粒径大小、分布特征、弹性模量以及基体弹性模量等的变化对复合材料力学性能的影响。该方法能够快速方便地建立复杂的几何模型并较真实地反映骨料的实际分布特征,较精确预测复合材料的有效力学性能。

英文摘要：

The geometry model of radom aggregates distributing in friable matrix was plotted by AUTOCAD, and ANSYS system was induced to divide the finite mesh, and the representative volume element of finite element calculation was established. By homogenization theory, the equivalent elastic modulus of the three-phase composite composed by radom aggregate,matrix and interface was calculated, and the impact of grain shape,size, distribution, elastic modulus of grain and matrix on the mechanical properties of composite was analysed. With the method ,we can build complex geometry model quickly and conveniently which can reflect the real distribution of aggregates and forecast the effective mechanical properties of composite.