中文摘要：

采用几种经典预测计算方法分析颗粒半径大小、颗粒百分比、颗粒弹性模量等参数对随机颗粒增强橡胶复合材料有限元模型有效力学性能的影响。结果表明：高百分比、小半径、低弹性模量的颗粒有利于改善随机颗粒增强橡胶复合材料的有效力学性能;所用方法中,经典Mori-Tanaka法、Halpin-Tsai法和以应变能法和广义虎克定律为基础的有限元法都有一定的局限性,而修正的经典Halpin-Tsai公式能有效改善经典公式预测的结果,另一种多尺度均质化方法的结果介于数值法与经典公式法之间,说明修正Halpin-Tsai法和均质化法的预测更为可靠。

英文摘要：

The influence of radius,volume fraction,particle＇s elastic modulus and the other parameters on the effective mechanical properties of composite materials is analyzed by several classical calculation methods. The results show that it is beneficial to improve the effective mechanical properties of random particles reinforced rubber composite by using the particles with high volume fraction,small radius and low elastic modulus. The results of the finite element method based on the strain-energy method and the generalized Hooke＇s law are greater than those from other methods,which is effected by the mesh division and boundary condition in the finite element method. The results from the traditional Mori-Tanaka method and Halpin-tsai theory are limited for some factors,and they cannot consider the influence of the sizes of particles and their inter-action. The modified Halpin-Tsai formula can improve the results from traditional Halpin-Tsai theory effectively,and the results from multi-scale homogenization methods are always among of the proposed methods,and it is proved that the homogenization method and the modified Halpin-Tsai formula are more reliable.