高体积百分比颗粒增强聚合物材料的有效粘弹性性质  

Effective Viscoelastic Behavior of Particulate Polymer Composites at Finite Concentration

作　　者：李丹[1] 胡更开[1] 

机构地区：[1]北京理工大学应用力学系,北京100081

出　　处：《应用数学和力学》2007年第3期270-280,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10325210)

摘　　要：聚合物材料通常表现为粘弹性性质.为了改进聚合物材料的力学性能,通常将某种无机材料以颗粒或纤维的形式填充到聚合物中,从而得到增强、增韧的聚合物基复合材料.提出了一个新的细观力学模型,用于预测颗粒增强聚合物复合材料的有效粘弹性性质,尤其针对高体积百分比的颗粒夹杂复合材料,该方法基于Laplace变换和双夹杂相互作用的弹性模型.计算了玻璃微珠/ED-6复合材料的有效松弛模量以及恒应变率下的应力应变关系.计算结果表明在高体积百分比下该文方法比基于Mori Tanaka方法预测的粘弹性效应明显减弱.Polymeric materials usually present some viscoelastic behavior. To improve the mechanical behavior of these materials, ceramics materials are often filled into the polymeric materials in form of fiber or particle. A micromechanlcal model was proposed to estimate the overall viscoelastic behavior for particulate polymer composites, especially for high volume concentration of filled particles. The method is based on Laplace transform technique and an elastic model including two-particle interaction. The effective creep corapliance and the stress and swain relation at a constant loading rate were analyzed. The results show that the proposed method predicts a significantly stiffer response than those based on Mori-Tanaka＇ s method at high volume concentration of particles.

关 键 词：颗粒增强 聚合物基复合材料 粘弹性 细观力学 高体积百分比 

分 类 号：O345[理学—固体力学] TB332[理学—力学]