剪切变形下非晶态高聚物的力学行为

张斌贝; 黄筑平

剪切变形下非晶态高聚物的力学行为

北京大学湍流与复杂系统国家重点实验室,力学与工程科学系, 北京 100871

基金项目: 国家自然科学基金资助项目(10032010)

详细信息

作者简介:
张斌贝(1975- ),女,山西太原人,博士生;黄筑平(1939- ),男,教授,博导(联系人.Tel:+86-10-62767170;Fax:+86-10-62751812;E-mail:huangzp@pku.edu.cn)

中图分类号: O343.6；O414.14
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出版历程
- 收稿日期: 2003-06-03
- 修回日期: 2004-06-08
- 刊出日期: 2004-10-15

Mechanical Behavior of Amorphous Polymers in Shear

State Key Labora tory for Tur bulence and Complex Systems,Department of Mechanics and Engineering Science, Peking University, Beijing 0087, P. R. China

摘要

摘要: 基于非平衡态热力学理论，提出了一个适用于不可压材料的新的热粘弹性本构模型．该模型将橡胶弹性理论中的非高斯分子网络模型推广到计及粘性和热效应的情形．通过引入一组二阶张量形式的内变量，建议了一个新的Helmholtz自由能表达式，从而可以用来合理描述内变量的演化规律．根据以上模型，重点研究了热粘弹性材料在简单剪切变形下的力学行为，考察了由于分子链取向分布的变化而产生的“粘性耗散诱导”各向异性，讨论了应变率效应和由于粘性耗散而导致的热软化效应对剪应力的影响．理论预测结果与G'Sell等人的实验数据的定性比较表明了新的本构模型的有效性．
- 热粘弹性本构理论 /
- 非高斯分子网络模型 /
- 有限变形 /
- 简单剪切变形 /
- 非平衡态热力学
Abstract: Based on the non-equilibrium thermodynamic theory,a new thermo-viscoelastic constitutive model for an incompressible material is proposed.This model can be considered as a kind of generalization of the non-Gaussian network theory in rubber elasticity to include the viscous and the thermal effects.A set of second rank tensorial internal variables was introduced,and in order to adequately describe the evolution of these internal variables,a new expression of the Helmholtz free energy was suggested.The mechanical behavior of the thermo-viscoelastic material under simple shear deformation was studied,and the/viscous dissipation induced0 anisotropy due to the change of orientation distribution of molecular chains was examined.Influences of strain rate and thermal softening produced by the viscous dissipation on the shear stress were also discussed.Finally,the model predictions were compared with the experimental results performed by G.Sell et al,thus the validity of the proposed model is verified.
- thermo-viscoelastic constitutive theory /
- non-Gaussian network model /
- finite deformation /
- simple shear deformation /
- non-equilibrium thermodynamics

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参考文献(15)

[1]	Treloar L R G.The Physics of Rubber Elasticity[M].3rd edition.Oxford: Oxford University Press, 1975.
[2]	Ward I M.Mechanical Properties of Solid Polymers[M].2nd edition.New York: Wiley-Interscience,1983;(中译本)固体高聚物的力学性能[M].徐懋，漆宗能等译. 北京：科学出版社，1988.
[3]	James H M，Guth E.Theory of the elastic properties of rubber[J].J Chem Phys,1943,11(10):455—481. doi: 10.1063/1.1723785
[4]	Arruda E M,Boyce M C.Evolution of plastic anisotropy in amorphous polymers during finite straining[A].In:Boehler J -P,Khan A S Eds.Anisotropy and Localization of Plastic Deformation[C].London: Elsevier Applied Science, 1991,483—488.
[5]	Wu P D，Van der Giessen E. On improved 3-D non-Gaussian network models for rubber elasticity[J].Mech Res Comm,1992,19(5):427—433. doi: 10.1016/0093-6413(92)90021-2
[6]	Wu P D，Van der Giessen E.On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers[J].J Mech Phys Solids,1993,41(3):427—456. doi: 10.1016/0022-5096(93)90043-F
[7]	G'Sell Christian，Boni Serge. Application of the plane simple shear test for determination of the plastic behavior of solid polymers at large strains[J].Journal of Materials Science,1983,18(3):903—918. doi: 10.1007/BF00745590
[8]	HUANG Zhu-ping,CHEN Jian-kang,WANG Wen-biao.An internal-variable theory of thermo~viscoelastic constitutive relations at finite strain[J].Science in China,Series A,2000,43(5):545—551. doi: 10.1007/BF02897147
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[10]	黄筑平.连续介质力学基础[M].北京：高等教育出版社，2003.
[11]	La Mantia F P,Titomanlio G,Acierno D.The viscoelastic behavior of nylon 6/lithium halides mixtures[J].Rheol Acta,1980,19:88—93. doi: 10.1007/BF01523859
[12]	Aklonis J J,MacKnight W J,Shen M. Introduction to Polymer Viscoelasticity[M].New York: Wiley-Interscience, 1972.
[13]	刘框海，白田山立子.分析化学手册，第八分册（热分析）[M].第二版.北京：化学工业出版社，2000.
[14]	何曼君，陈维孝，董西侠.高分子物理[M].上海：复旦大学出版社，1990.
[15]	Ashby M F,Jones D R H.Engineering Materials: An Introduction to Their Properties and Applications[M].Oxford: Pergamon Press, 1980.

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文章访问数: 2906
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剪切变形下非晶态高聚物的力学行为

作者简介:
张斌贝(1975- ),女,山西太原人,博士生;黄筑平(1939- ),男,教授,博导(联系人.Tel:+86-10-62767170;Fax:+86-10-62751812;E-mail:huangzp@pku.edu.cn)

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Mechanical Behavior of Amorphous Polymers in Shear

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剪切变形下非晶态高聚物的力学行为

作者简介: 张斌贝(1975- ),女,山西太原人,博士生;黄筑平(1939- ),男,教授,博导(联系人.Tel:+86-10-62767170;Fax:+86-10-62751812;E-mail:huangzp@pku.edu.cn)

计量

出版历程

Mechanical Behavior of Amorphous Polymers in Shear

计量

出版历程

目录

作者简介:
张斌贝(1975- ),女,山西太原人,博士生;黄筑平(1939- ),男,教授,博导(联系人.Tel:+86-10-62767170;Fax:+86-10-62751812;E-mail:huangzp@pku.edu.cn)