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Comparison of micromechanics methods for effective properties of multiphase viscoelastic composites

机译：多相粘弹性复合材料有效性能的微力学方法比较

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摘要

In this paper we examine the use of several popular micromechanics methods for determination of effective composite properties when all phases are viscoelastic. The elasticity-based Mori--Tanaka method and the finite element method of cells are used, both via implementation of the elastic--viscoelastic correspondence principle. The finite element technique considers two different periodic microstructures, square and hexagonal arrays, the results of which are compared with each other and the Mori--Tanaka predictions. The resultant effective properties for viscoelastic composites are determined at a wide range of frequencies and compared with transformed Hashin--Shtrikman bounds and Gibiansky--Milton bounds. The Mori--Tanaka method in the transformed domain is by far the simplest to implement and it is shown that the method replicates the major features of the storage and loss moduli of the composite, including location and magnitude of the double loss peaks from the glass--rubber transition of each phase. It is also illustrated that the Mori--Tanaka method predicts a nearly log--linear relationship between resultant property and volume fraction at a given frequency. Limitations of the Mori--Tanaka method for viscoelastic composites are highlighted.
机译：在本文中，我们研究了当所有相都是粘弹性时，使用几种流行的微力学方法确定有效复合材料性能的方法。通过实现弹性-粘弹性对应原理，使用了基于弹性的Mori-Tanaka方法和单元的有限元方法。有限元技术考虑了两个不同的周期性微观结构，即正方形和六边形阵列，将它们的结果与Mori-Tanaka预测进行了比较。在很宽的频率范围内确定了粘弹性复合材料的有效性能，并将其与转换后的Hashin-Shtrikman界和Gibiansky-Milton界进行了比较。迄今为止，变换域中的Mori-Tanaka方法是最简单的实施方法，它表明该方法复制了复合材料的储能和损耗模量的主要特征，包括玻璃的双损耗峰的位置和大小-每个阶段的橡胶过渡。还说明了Mori-Tanaka方法可预测给定频率下所得特性与体积分数之间的近似对数线性关系。强调了粘弹性复合材料的Mori-Tanaka方法的局限性。

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