估计复合材料有效弹性常数界限的综合方法

An Approach to Predicting Bounds of Effective Properties of Composite Materials

回顾了有效弹性模量估计的各种方法,分析了与常规有效弹性常数估计的上限VB、下限RB和Hashin-Shtrikman上限(HSB+)、下限(HSB-)相应的均匀化对比材料的取值情况,以及这些界限之间的相互关系,提出了以有效弹性常数常规估计—Voigt估计、Reuss估计分别作为均匀化对比材料,从而得到较Hashin-Shtrikman上下限更紧的新上下限.

This paper reviews various methods to predict the overall effective elastic properties of homogeneous isotropic composites based on the meso-micromechanics. Values of the homogeneous isotropic comparison materials are analyzed corresponding to the upper bound （VB） and lower bound （RB） of common prediction of the effective elastic properties, and the upper bound （ HSB） and lower bound （ HSB - ） of Hashin-Shtrikman estimates, and the relationships for these bounds are also dicussed. New bounds tighter than Hashin-Shtrikman bounds are presented by taking the common estimates, the Voigt estimate and the Reuss estimate, as homogeneous comparison materials.