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Two-dimensional and axisymmetric unit cell models in the analysis of composite materials

机译：复合材料分析中的二维轴对称晶胞模型

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Unit cell models have been widely used for investigating fracture mechanisms and mechanical properties of composite materials assuming periodically arrangement of inclusions in matrix. It is desirable to clarify the geometrical parameters controlling the mechanical properties of composites because they usually contain randomly distributed particulate. To begin with a tractable problem this paper focuses on the effective Young's modulus E of heterogeneous materials. Then, the effect of shape and arrangement of inclusions on E is considered by the application of FEM through examining three types of unit cell models assuming 2D and 3D arrays of inclusions. It is found that the projected area fraction and volume fraction of inclusions are two major parameters controlling effective elastic modulus of inclusions.
机译：假设周期性地安排夹杂物在基质中，晶胞模型已广泛用于研究复合材料的断裂机理和力学性能。理想的是阐明控制复合材料机械性能的几何参数，因为它们通常包含随机分布的颗粒。首先要解决一个棘手的问题，本文着眼于异质材料的有效杨氏模量E。然后，通过检查假设夹杂物为2D和3D阵列的三种类型的晶胞模型，通过应用FEM来考虑夹杂物的形状和排列对E的影响。发现夹杂物的投影面积分数和体积分数是控制夹杂物有效弹性模量的两个主要参数。

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