聚合物时温等效模型有限元应用研究  

Finite Element Application of the Time-Temperature Superposition Principle(TTSP)to Polymer

作　　者：许进升[1] 杨晓红[1] 赵磊[2] 王鸿丽[1] 韩龙[1] 

机构地区：[1]南京理工大学机械工程学院,南京210094 [2]安徽东风机电科技股份有限公司,合肥230000

出　　处：《应用数学和力学》2015年第5期539-547,共9页Applied Mathematics and Mechanics

基　　金：江苏省自然科学基金(BK20140772)

摘　　要：为更好地描述聚合物材料力学性能的温度相关性问题,对目前广泛应用的WLF模型进行改进研究,并引入"零时间"因子提高了粘弹性材料变温松弛模量的获取精度.在此基础上基于ABAQUS用户材料子程序UTRS将时温等效模型应用到数值计算中.根据不同温度水平下的应力松弛实验获得模型参数,并通过等速拉伸实验与数值结果的对比验证了该模型及其有限元方法的可行性及正确性.结果表明:引入"零时间"因子的变温松弛模量精度更高;改进WLF模型对复合推进剂具有更好的适用性和更高的精确度.To better describe the temperature-dependent mechanical properties of polymer ma- terials, an improved WLF model was proposed, with a ＇ zero time＇ factor introduced to pro- mote the precision of the relaxation modulus acquisition at different temperature levels for line- arly viscoelastic materials. Thereafter, the improved WLF model was applied in the finite ele- ment calculation via user material subroutine UTRS in ABAQUS. The model parameters were obtained out of a series of relaxation tests at different temperature levels, and the feasibility and validity of the improved WLF model and the numerical method were verified through the con- stant-rate tensile tests of composite propellant specimens. The results show that, compared with the traditional findings, the relaxation moduli acquired in view of the ＇ zero time＇ factor at different temperature levels are more accurate, and the improved WLF model is more applicable and precise for the temperature-dependent description of composite propellants.

关 键 词：时温等效原理 线粘弹性 松弛模量 聚合物 “零时间”因子 有限元 

分 类 号：V512[航空宇航科学与技术—航空宇航推进理论与工程]