一种新的聚合物基复合材料应力松弛经验模型  

A new empirical model for stress relaxation of polymer matrix

作　　者：梁娜[1,2] 朱四荣[1] 陈建中[1] 

机构地区：[1]武汉理工大学理学院,武汉430070 [2]湖北科技学院,湖北咸宁437100

出　　处：《复合材料学报》2017年第10期2205-2210,共6页Acta Materiae Compositae Sinica

基　　金：国家自然科学基金(11102142);湖北省教育厅项目(B2015083)

摘　　要：视黏弹性元件弹簧和粘壶的特性参数为时间的函数,建立双变参Maxwell模型,求解其本构方程及松弛函数,探讨了其松弛函数与经验KWW函数的关系,提出了一种新的应力松弛经验模型。运用最小二乘原理,建立该模型参数的确定方法。开展了玻璃纤维增强聚合物(GFRP)复合材料的长期应力松弛实验,并通过实验数据的分析验证了该模型的正确性。研究表明,新应力松弛经验模型拟合曲线与实测曲线吻合较好,相关系数达到96%以上,说明了该模型适合描述GFRP复合材料的黏弹性松弛特性。Based on the assumption that the characteristic parameters of spring and dashpot of viscoelastic element are a function of time, double-variable parameter Maxwell models were established. Their relaxation functions were obtained by resolving the variable parameter constitutive relation. The relation between the relaxation function and the empirical KWW function was discussed, and a new empirical model for stress relaxation was proposed. The pa- rameter determination method was established by the principle of the least square. The long term stress relaxation test of glass-fiber reinforced plastic （GFRP） composites was carried out, and the proposed model was verified through the experimental data. The research results show that the proposed model curve and experimental curve ap- proximately coincide with each other, and the correlation coefficient reaches 96% or more. It shows that the model is suitable to describe the viscoelastic relaxation properties of GFRP composites.

关 键 词：聚合物基复合材料 松弛模量 经验函数 变参数Maxwell模型 GFRP管 

分 类 号：TB330.1[一般工业技术—材料科学与工程] O34[理学—固体力学]