聚合物时温等效模型有限元应用研究

许进升; 杨晓红; 赵磊; 王鸿丽; 韩龙

doi:10.3879/j.issn.1000-0887.2015.05.009

聚合物时温等效模型有限元应用研究

doi: 10.3879/j.issn.1000-0887.2015.05.009

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

基金项目: 江苏省自然科学基金(BK20140772)

详细信息

作者简介:
许进升(1985—)，男，江苏泰州人，讲师，博士(通讯作者. E-mail: xujinsheng@njust.edu.cn).

中图分类号: V512
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出版历程
- 收稿日期: 2014-11-11
- 修回日期: 2014-12-17
- 刊出日期: 2015-05-15

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

¹School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, P.R.China;²Anhui Dongfeng Electrical and Mechanical Technology Co., Ltd., Hefei 230000, P.R.China

摘要

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.
- 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
Abstract: To better describe the temperature-dependent mechanical properties of polymer materials, an improved WLF model was proposed, with a ‘zero time’ factor introduced to promote the precision of the relaxation modulus acquisition at different temperature levels for linearly viscoelastic materials. Thereafter, the improved WLF model was applied in the finite element 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 constant-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.
- time-temperature superposition principle /
- linearly viscoelastic /
- relaxation modulus /
- polymer /
- ‘zero time’factor /
- finite element

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参考文献(16)

[1]	刘长春, 吕和祥, 关萍. 混凝土材料的粘塑性损伤本构模型[J]. 应用数学和力学, 2007,28(9): 1021-1027.(LIU Chang-chun, Lü He-xiang, GUAN Ping. Coupled viscoplasticity damage constitutive model for concrete materials[J]. Applied Mathematics and Mechanics,2007,28(9): 1021-1027.(in Chinese))
[2]	李丹, 胡更开. 高体积百分比颗粒增强聚合物材料的有效粘弹性性质[J]. 应用数学和力学, 2007,28(3): 270-280.(LI Dan, HU Geng-kai. Effective viscoelastic behavior of particulate polymer composites at finite concentration[J].Applied Mathematics and Mechanics,2007,28(3): 270-280.(in Chinese))
[3]	许进升, 鞠玉涛, 郑健, 韩波. 复合固体推进剂松弛模量的获取方法[J]. 火炸药学报, 2011,34(5): 58-62.(XU Jin-sheng, JU Yu-tao, ZHENG Jian, HAN Bo. Acquisition of the relaxation modulus of composite solid propellant[J].Chinese Journal of Explosives & Propellants,2011,34(5): 58-62.(in Chinese))
[4]	XU Jin-sheng, CHEN Xiong, WANG Hong-li, ZHENG Jian, ZHOU Chang-sheng. Thermo-damage-viscoelastic constitutive model of HTPB composite propellant[J].International Journal of Solids and Structures,2014,51(18): 3209-3217.
[5]	Park S W, Schapery R A. A viscoelastic constitutive model for particulate composites with growing damage[J].International Journal of Solids and Structures,1997,34(8): 931-947.
[6]	蔡艳红, 陈浩然, 唐立强, 闫澄, 江莞. 剪切载荷作用下含损伤胶接材料界面动应力强度因子的研究[J]. 应用数学和力学, 2008,29(11): 1376-1386.(CAI Yan-hong, CHEN Hao-ran, TANG Li-qiang, YAN Cheng, JIANG Wan. Dynamic stress intensity factor analysis of adhesively bonded material interface with damage under shear loading[J].Applied Mathematics and Mechanics,2008,29(11): 1376-1386.(in Chinese))
[7]	CHYUAN Shiang-woei. Nonlinear thermoviscoelastic analysis of solid propellant grains subjected to temperature loading[J].Finite Elements in Analysis and Design,2002,38(7): 613-630.
[8]	郑健龙, 钱国平, 应荣华. 沥青混合料热粘弹性本构关系试验测定及其力学应用[J]. 工程力学, 2008,25(1): 34-41.(ZHENG Jian-long, QIAN Guo-ping, YING Rong-hua. Testing thermalviscoelastic constitutive relation of asphalt mixtures and its mechanical applications[J].Engineering Mechanics,2008,25(1): 34-41.(in Chinese))
[9]	钱国平, 郑健龙, 周志刚, 田小革. 沥青混合料增量型热粘弹性本构关系研究[J]. 应用力学学报, 2006,23(3): 338-343.(QIAN Guo-ping, ZHENG Jian-long, ZHOU Zhi-gang, TIAN Xiao-ge. Incremental thermalviscoelastic constitutive relation of asphalt mixtures[J].Chinese Journal of Applied Mechanicals,2006,23(3): 338-343.(in Chinese))
[10]	Nevière R. An extension of the time-temperature superposition principle to non-linear viscoelastic solids[J].International Journal of Solids and Structures,2006,43(17): 5295-5306.
[11]	Dagdug L, García-Colín L S. Generalization of the Williams-Landel-Ferry equation[J].Physica A : Statistical Mechanics and Its Applications,1998,250(1/2): 133-141.
[12]	Salmén L. Viscoelastic properties of in situ lignin under water-saturated conditions[J].Journal of Materials Science,1984,19(9): 3090-3096.
[13]	Peydró M A, Parres F, Crespo J E, Juárez D. Study of rheological behavior during the recovery process of high impact polystyrene using cross-WLF model[J].Journal of Applied Polymer Science,2011,120(4): 2400-2410.
[14]	CHANG Feng-cheng, Lam F, Kadla J F. Application of time-temperature-stress superposition on creep of wood-plastic composites[J].Mechanics of Time-Dependent Materials,2013,17(3): 427-437.
[15]	XU Jin-sheng, JU Yu-tao, HAN Bo, ZHOU Chang-sheng, ZHENG Jian. Research on relaxation modulus of viscoelastic materials under unsteady temperature states based on TTSP[J].Mechanics of Time-Dependent Materials,2013,17(4): 543-556.
[16]	Williams M L, Landel R F, Ferry J D. The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids[J].Journal of the American Chemical Society,1955,77(14): 3701-3707.