Abstract

Voigt and Reuss models do not make any assumption regarding composite microstructure, but they are only able to estimate bounds rather than values of composite properties. To enable the models to predict elastic properties of particulate composites, we isotropized Voigt and Reuss models based on the equivalence of normal and shear strain energy respectively in a representative volume element, and derived a set of simple and uncoupled equations for the prediction of composite Young’s modulus and shear modulus. Composite bulk modulus and Poisson’s ratio can then be determined either by the elasticity relationships or by generalization of the isotropized Voigt-Reuss equations. Validation with reported experimental data show that, for composites with phase properties of either small or large contrast, isotropized Voigt-Reuss model has similar accuracy as the widely used micromechanical models, for the prediction of Young’s modulus and shear modulus.

摘要

Voigt 和 Reuss 模型不对复合材料的微观结构做出任何假设，但它们只能估计边界而不是复合材料性能的值。为了使模型能够预测颗粒复合材料的弹性性能，我们分别基于代表性体积元中的法向应变和剪切应变能的等价对 Voigt 和 Reuss 模型进行了各向同性化，并推导出了一组用于预测复合材料杨氏的简单和非耦合方程模量和剪切模量。然后可以通过弹性关系或通过各向同性 Voigt-Reuss 方程的推广来确定复合体积模量和泊松比。使用报告的实验数据进行验证表明，对于具有小或大对比度的相位特性的复合材料，