在复合材料弹性模量预测的细观力学模型基础上,运用连续介质力学的方法,建立了一种新的混合律模型及其表达式,该模型根据最小二乘法求出了可表征不同制备方法获得的复合材料计算模型的比例因子α,并应用在颗粒增强复合材料的弹性模量分析中。为验证该模型的实用性,引用了文献试验数据进行了预测计算并进行了验证,与模型Reuss、Voigt、Tamura进行比较,结果表明:对于由SD制备方法获得的6066/SiC复合材料,当使用建立的α因子模型时,计算结果处在Voigt模型和Reuss模型的上、下限之间,其相对误差为Tamura模型的1/2。

Mixed-mode of Elastic Modulus Composites Based on the α FactorLU Ping,LIU Zuo-min (Institute of Tribological,Wuhan University of Technology,Wuhan 430070,China)A new mixed model and its equation have been developed for estimating the elastic modulus of composites based on the micro mechanics model and continuum mechanics theory.The model has been used to predict the elastic modulus of particle-reinforced composites.In the model,the α factor has been characterized based on least square method and experimental data.For verifying the model,the experimental data have been referred and used to calculate the elastic modulus of materials,which is prepared by spray deposition(SD) method.Results show that the value of elastic modulus is located between the upper limit of Voigt model and the lower limit of Reuss model,and the relative error for the new model is 1/2 of that for Tumura mode.elastic modulus;continuum mechanics;composite material;least square method