ZHANG Yun, HUANG Zhu-ping. Mechanical Behavior of Amorphous Polymers in Shear[J]. Applied Mathematics and Mechanics, 2004, 25(10): 997-1006.
Citation: ZHANG Yun, HUANG Zhu-ping. Mechanical Behavior of Amorphous Polymers in Shear[J]. Applied Mathematics and Mechanics, 2004, 25(10): 997-1006.

Mechanical Behavior of Amorphous Polymers in Shear

  • Received Date: 2003-06-03
  • Rev Recd Date: 2004-06-08
  • Publish Date: 2004-10-15
  • 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.
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  • [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
    [9]
    Bataille J,Kestin J. Irreversible processes and physical interpretation of rational thermodynamics[J].J Non-Equilib Thermodyn,1979,4(4):229—258.
    [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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