MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (10): 1089-1099.

MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR

张赟, 黄筑平

State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China

收稿日期:2003-06-03 修回日期:2004-06-08 出版日期:2004-10-18 发布日期:2004-10-18
通讯作者: HUANG Zhu-ping(1939- ),Professor,Tel:+86-10-62767170;Fax:+86-10-62751812;E-mail:huangzp@pku.edu.cn E-mail:huangzp@pku.edu.cn
基金资助:
the National Natural Science Foundation of China(10032010)

MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR

ZHANG Yun, HUANG Zhu-ping

State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China

Received:2003-06-03 Revised:2004-06-08 Online:2004-10-18 Published:2004-10-18
Supported by:
the National Natural Science Foundation of China(10032010)

摘要/Abstract

摘要： 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 induced" 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.

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 induced" 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.

中图分类号:

张赟;黄筑平. MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1089-1099.

ZHANG Yun;HUANG Zhu-ping . MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(10): 1089-1099.

参考文献

[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.
[3] James H M, Guth E. Theory of the elastic properties of rubber[J]. J Chem Phys, 1 943,11(10):455-481.
[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 Camm, 1992,19(5):427-433.
[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.
[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.
[8] HUANG Zhu-ping, CHEN Jian-kang, WANG Wen-biao. An internal-variable theory of thermoviscoelastic constitutive relations at finite strain[J]. Science in China,Series A,2000,43(5):545-551.
[9] Bataille J, Kestin J. Irreversible processes and physical interpretation of rational thermodynamics[J]. J Non-Equilib Thermodyn, 1979,4(4):229-258.
[10] HUANG Zhu-ping. Fundamentals of Continuum Mechanics[M]. Beijing: Higher Education Publishing House, 2003. (in Chinese)
[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.
[12] Aklonis J J, MacKnight W J, Shen M. Introduction to Polymer Viscoelasticity[M]. New York: Wiley-Interscience, 1972.
[13] LIU Kuang-hai, Hatakeyama T. Hand Book of Analytical Chemistry. the 8th Fascicule: Heat Analysis[M]. 2nd ed. Beijing: Chemistry Industry Press, 2000. (in Chinese)
[14] HE Man-jun, CHEN Wei-xiao, DONG Xi-xia. The Physics of Polymers[M]. Shanghai: Fudan University Press, 1990. (in Chinese)
[15] Ashby M F, Jones D R H. Engineering Materials: An Introduction to Their Properties and Applications[M]. Oxford: Pergamon Press, 1980.

MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR

MECHANICAL BEHAVIOR OF AMORPHOUS POLYMERS IN SHEAR

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 13

编辑推荐

Metrics

本文评价

[1]	李卫国;成天宝;张如炳;方岱宁. Properties and appropriate conditions of stress reduction factor and thermal shock resistance parameters for ceramics[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1351-1360.
[2]	M. NAWAZ;T. HAYAT;A.ALSAEDI. Dufour and Soret effects on MHD flow of viscous fluid between radially stretching sheets in porous medium[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1403-1418.
[3]	A. M. ABD-ALLA;G. A. YAHYA. Thermal stresses in infinite circular cylinder subjected to rotation[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1059-1078.
[4]	R.库玛;鲁班德. 磁_微极广义热弹性介质中轴对称变形的弹性动力学[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(1): 39-48 .
[5]	R.库玛;T.坎赛. 横观各向同性广义热弹性扩散Rayleigh波在自由表面上的传播[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(11): 1451-1462 .
[6]	M.K.戈西;M.卡诺瑞阿. 热冲击载荷作用下的含球形空腔的广义热弹性功能梯度球形各向同性体[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(10): 1263-1278 .
[7]	. Two-dimensional interactions due to moving load in generalized thermoelastic solid with diffusion[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(2): 207-221 .
[8]	. Elastodynamic analysis of anisotropic liquid-saturated porous medium due to mechanical sources[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(8): 1049-1059 .
[9]	. Displacements and stresses in composite multi-layered media due to varying temperature and concentrated load[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(6): 811-822 .
[10]	. Propagation of plane waves in thermoelastic cubic crystal material with two relaxation times[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(5): 627-641 .
[11]	. DIFFERENTIAL-ALGEBRAIC APPROACH TO COUPLED PROBLEMS OF DYNAMIC THERMOELASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(9): 1185-1196 .
[12]	. DEFORMATION DUE TO TIME HARMONIC SOURCES IN MICROPOLAR THERMOELASTIC MEDIUM POSSESSING CUBIC SYMMETRY WITH TWO RELAXATION TIMES[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(6): 781-792 .
[13]	. DEPENDENCE OF MODULUS OF ELASTICITY AND THERMAL CONDUCTIVITY ON REFERENCE TEMPERATURE IN GENERALIZED THERMOELASTICITY FOR AN INFINITE MATERIAL WITH A SPHERICAL CAVITY[J]. Applied Mathematics and Mechanics (English Edition), 2005, 26(4): 470-475 .