本文以空心微珠煤泡(Cenospheres)填充复合塑料为背景,针对代表性体积同心球模型求解经典弹性力学应力边值问题,得到单向拉伸等效应变表达式,再按粘弹性理论中的对应原理得到相应拟静态粘弹性问题的解,由此导出空心微珠填充复合材料拉伸蠕变柔量的表达式。在刚性微珠的特殊情况下得到宏观等效蠕变柔量与等效弹性模量之积仅与母相介质的性质有关,与内含刚性填料的组分无关的结论,从理论上证明了Nielsen等由试验得到的这一论断。 In this paper, hollow microsphere bead (Cenospheres) filled composite plastic background, the representative of the volume of concentric spherical model for the classical elastic mechanics stress boundary value problem, the uniaxial tensile equivalent strain is obtained, and then viscoelastic theory Corresponding principle to obtain the corresponding quasi-static viscoelastic solution, derived from the hollow microbead filled composite tensile creep compliance expression. In the special cases of rigid microbeads, it is theoretically proved that the product of the macroscopic equivalent creep compliance and the equivalent elastic modulus is related only to the properties of the matrix media and not to the components containing rigid fillers Nielsen and other experiments from this assertion.