A Theoretical Study on Transitional Shear Flow Behavior of the Compressible and Isothermal Thermoplastic Polymer

Dong-Lei Liu; Feng Zhou; Kun Fang

doi:10.1007/s10118-019-2214-3

Your Location：

Home >

Browse articles >

A Theoretical Study on Transitional Shear Flow Behavior of the Compressible and Isothermal Thermoplastic Polymer

ARTICLE | Updated：2021-02-18

- A Theoretical Study on Transitional Shear Flow Behavior of the Compressible and Isothermal Thermoplastic Polymer
- A Theoretical Study on Transitional Shear Flow Behavior of the Compressible and Isothermal Thermoplastic Polymer
- Chinese Journal of Polymer Science 2019年37卷第5期页码：518-526
- Affiliations：
  
  a.College of Mechanical and Electrical Engineering, Nanchang University, Jiangxi 330031, China
  b.Key Laboratory of Lightweight and High Strength Structural Materials of Jiangxi Province, Nanchang University, Jiangxi 330031, China
- Author bio：
  
  dlliu@ncu.edu.cn
- Funds：
  
  This work was financially supported by the National Natural Science Foundation of China (No. 51565034), the National Key Technology Research and Development Project of Jiangxi Province, China (No. 20151BBE50033), and the Key project of Scientific research of the Education Department of Jiangxi Province, China (No. 150009).
- DOI：10.1007/s10118-019-2214-3
  中图分类号：
- 收稿：2018-09-29，
  
  修回：2018-12-16，
  
  录用：2018-12-24，
  
  网络首发：2019-01-29，
  
  纸质出版：2019-05
- Accepted：
Scan QR Code
Citation: Liu, D. L.; Zhou, F.; Fang, K. A theoretical study on transitional shear flow behavior of the compressible and isothermal thermoplastic polymer. Chinese J. Polym. Sci. 2019, 37, 518–526

Dong-Lei Liu, Feng Zhou, Kun Fang. A Theoretical Study on Transitional Shear Flow Behavior of the Compressible and Isothermal Thermoplastic Polymer[J]. Chinese Journal of Polymer Science, 2019, 37(5): 518-526.
Citation: Liu, D. L.; Zhou, F.; Fang, K. A theoretical study on transitional shear flow behavior of the compressible and isothermal thermoplastic polymer. Chinese J. Polym. Sci. 2019, 37, 518–526 DOI： 10.1007/s10118-019-2214-3.

Dong-Lei Liu, Feng Zhou, Kun Fang. A Theoretical Study on Transitional Shear Flow Behavior of the Compressible and Isothermal Thermoplastic Polymer[J]. Chinese Journal of Polymer Science, 2019, 37(5): 518-526. DOI： 10.1007/s10118-019-2214-3.

摘要

Abstract

By extending the virtual conformational element of the polymer chain

a dynamic end-to-end (ETE) vector was presented to describe the chain’s instantaneous morphology based on the spring-bead theory. A feasible viscoelastic model was proposed to describe the rheological behavior of the isothermal thermoplastic polymer materials

based on the molecular kinetics

thermodynamics

and continuum mechanics method. The model is simplified as the generalized Newton’s law. Its integral formula with similar form to the K-BKZ model was also derived. Rheological experiments were carried out with the isotactic polypropylene material. The experimental results reveal that the viscoelastic model exhibits a three-stage rheological characteristic. There is a distinct high-elastic rheological region in the middle stage

reflecting the pseudoplastic fluids properties. Compared with the Ostwald-de Waele power law model

the viscoelastic model shows a better agreement with the rheological practices.

关键词

Keywords

references

Wang, S. Q.; Ravindranath, S.; Wang, Y.; Boukany, P . New theoretical considerations in polymer rheology: Elastic breakdown of chain entanglement network . J. Chem. Phys. , 2007 . 127 064903 DOI: 10.1063/1.2753156 http://doi.org/10.1063/1.2753156 .

Lu, Z. L.; Pan, Y. M.; Liu, X. H.; Zheng, G. Q.; Schubert, D. W.; Liu, C. T . Molar mass and temperature dependence of rheological properties of polymethylmethacrylate melt . Mater. Lett. , 2018 . 221 62 - 65 . DOI: 10.1016/j.matlet.2018.03.077 http://doi.org/10.1016/j.matlet.2018.03.077 .

Luo, F.; Liu, X. H.; Shao C. G.; Zhang, J. X.; Shen, C. Y.; Guo, Z. H . Micromechanical analysis of molecular orientation in high-temperature creep of polycarbonate . Mater. Des. , 2018 . 144 25 - 31 . DOI: 10.1016/j.matdes.2018.02.025 http://doi.org/10.1016/j.matdes.2018.02.025 .

Liu, X. H.; Pan, Y. M.; Zheng, G. Q.; Schubert, D. W . Rheological and electrical behavior of poly(methyl methacrylate)/carbon black composites as investigated by creep recovery in shear . Compos. Sci. Technol. , 2016 . 128 1 - 7 . DOI: 10.1016/j.compscitech.2016.03.011 http://doi.org/10.1016/j.compscitech.2016.03.011 .

Isayev, A. I.; Shyu, G. D.; Li, C. T . Residual stresses and birefringence in injection molding of amorphous polymers: Simulation and comparison with experiment . J. Polym. Sci., Part B: Polym. Phys. , 2006 . 44 622 - 639 . DOI: 10.1002/polb.20724 http://doi.org/10.1002/polb.20724 .

Doi, M.; Edwards, S. F . Dynamics of concentrated polymer systems. Part 1. Brownian motion in the equilibrium state . J. Chem. Soc. Faraday Trans. , 1978 . 74 1789 - 1801 . DOI: 10.1039/F29787401789 http://doi.org/10.1039/F29787401789 .

Doi, M.; Edwards, S. F . Dynamics of concentrated polymer systems. Part 2. Molecular motion under flow . J. Chem. Soc. Faraday. Trans. , 1978 . 74 1802 - 1817 . DOI: 10.1039/F29787401802 http://doi.org/10.1039/F29787401802 .

Doi, M.; Edwards, S. F . Dynamics of concentrated polymer systems. Part 3. The constitutive equation . J. Chem. Soc. Faraday Trans. , 1978 . 74 1818 - 1832 . DOI: 10.1039/F29787401818 http://doi.org/10.1039/F29787401818 .

Doi, M.; Edwards, S. F . Dynamics of concentrated polymer systems. Part 4. Rheological properties . J. Chem. Soc. Faraday. Trans. , 1978 . 75 38 - 54 . DOI: 10.1039/F29797500038 http://doi.org/10.1039/F29797500038 .

Doi, M.; Edwards, S. F., in Theory of polymer dynamics , Oxford University Press, New York, 1986 .

Larson, R. G. in The structure and rheology of complex fluid , Oxford University Press, New York, 1999 .

Bird, R. B.; Wiest, J. M . Constitutive equation for polymeric liquids . Annu. Rev. Fluid Mech. , 1995 . 27 169 - 193 . DOI: 10.1146/annurev.fl.27.010195.001125 http://doi.org/10.1146/annurev.fl.27.010195.001125 .

White, J. L.; Mertzner, A. B . Development of constitutive equation for polymeric melts and solution . J. Appl. Polym. Sci. , 1963 . 7 1867 - 1889 . DOI: 10.1002/app.1963.070070524 http://doi.org/10.1002/app.1963.070070524 .

Larson R. G., in Constitutive equation for polymer melts and solutions , Butterworks, Boston, 1988 .

Bird, R. B.; Armstrong, R. C.; Hassager, O. in Dynamics of polymer liquids , Vol.1, Fluid Mechanics, Wiley Interscience, New York, 1987 .

Kiriakidis, D. G.; Park, H. J.; Mitsoulis, E.; Mitsoulis, E.; Agassant, J. F . A study of stress distribution in contraction flows of and LLDPE melt . J. Non-Newtonian Fluid. Mech. , 1993 . 47 339 - 356 . DOI: 10.1016/0377-0257(93)80057-I http://doi.org/10.1016/0377-0257(93)80057-I .

Maders, H.; Vergnes, B.; Demay, Y.; Agassant, J. F . Steady flow of a white-metzner fluid in a 2-D abrupt contraction: Computation and experiments . J. Non-Newtonian Fluid. Mech. , 1992 . 45 63 - 80 . DOI: 10.1016/0377-0257(92)80061-2 http://doi.org/10.1016/0377-0257(92)80061-2 .

Phan-Thien, N.; Tanner, R. I . A new constitutive equation derived from network theory . J. Non-Newtonian Fluid. Mech. , 1977 . 2 353 - 365 . DOI: 10.1016/0377-0257(77)80021-9 http://doi.org/10.1016/0377-0257(77)80021-9 .

Johnson, M. W.; Segalman, D . A model for viscoelastic fluid behavior which allows non-affine deformation . J. Non-Newtonian Fluid. Mech. , 1977 . 2 255 - 270 . DOI: 10.1016/0377-0257(77)80003-7 http://doi.org/10.1016/0377-0257(77)80003-7 .

Giesekus, H . A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility . J. Non-Newtonian Fluid. Mech. , 1982 . 11 69 - 109 . DOI: 10.1016/0377-0257(82)85016-7 http://doi.org/10.1016/0377-0257(82)85016-7 .

Oliveira, P. J . Alternative derivation of differential constitutive equations of the Oldroyd-B type . J. Non-Newtonian Fluid. Mech. , 2009 . 160 40 - 46 . DOI: 10.1016/j.jnnfm.2008.11.013 http://doi.org/10.1016/j.jnnfm.2008.11.013 .

Bernstein, B.; Kearsley, E. A.; Zapas, L. J . A study of stress relaxation with finite strain . J. Rheol. , 1963 . 7 391 - 410 . DOI: 10.1122/1.548963 http://doi.org/10.1122/1.548963 .

Christainsen, R. L; Bird, R. B . Dilute solution rheology: Experimental results and finitely extensible nonlinear elastic dumbbell theory . J. Non-Newton. Fluid. Mech. , 1977 . 3 161 - 177 . DOI: 10.1016/0377-0257(77)80047-5 http://doi.org/10.1016/0377-0257(77)80047-5 .

Doi, M . A constitutive equation derived from the model of Doi and Edwards for concentrated polymer solutions and polymer melts . J. Polym. Sci., Part B: Polym. Phys. , 1980 . 18 2055 - 2067 . DOI: 10.1002/pol.1980.180181005 http://doi.org/10.1002/pol.1980.180181005 .

Laso, M.; Öttinger, H. C . Calculation of viscoelastic flow using molecular models: The CONNFFESSIT approach . J. Non-Newtonian Fluid. Mech. , 1993 . 47 1 - 20 . DOI: 10.1016/0377-0257(93)80042-A http://doi.org/10.1016/0377-0257(93)80042-A .

Liu, D. L.; Cao, W. H.; Xin, Y.; Sun, L . Relationship model theory of polymer orientation stress-morphology for incompressible and isothermal melts in injection molding . Polym. Mater. Sci. Eng. , 2014 . 30 109 - 118 . DOI: 10.16865/j.cnki.1000-7555.2014.08.022 http://doi.org/10.16865/j.cnki.1000-7555.2014.08.022 .

Liu, D. L.; Cao, W. H.; Xin, Y . Study on the polymer melt flow-induced orientation stress model in injection molding: With the isothermal compressible hypothesis . J. Mech. Eng. , 2014 . 50 75 - 82 . DOI: 10.3901/JME.2014.12.075 http://doi.org/10.3901/JME.2014.12.075 .

Therkelsen S. V., in Constitutive modeling of active polymers , B.S. Mechanical Engineering, University of Iowa, 2002 .

Doi, M., in Introduce of polymer physics , Clarendon Press, Oxford, 1996 .

Reddy, J. N., in Introduction to continuum mechanics: With applications , Cambridge University Press, Cambridge, 2008 .

Tanner, R. I . From A to (BK)Z in constitutive relations . J. Rheol. , 1988 . 32 673 - 702 . DOI: 10.1122/1.549986 http://doi.org/10.1122/1.549986 .

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

Structural Evolution in Flowing Immiscible Blends in the Presence of Rough Particles: Dependence of Shear Rate and Blend Ratio

Conformational and Dynamical Evolution of Block Copolymers in Shear Flow

Dynamics of Attractive Vesicles in Shear Flow

STRESS-INDUCED POLYMER DEFORMATION IN SHEAR FLOWS

Alternating Poly(ether-alt-ester)s with High Glass Transition Temperature Enabled by Rotationally Constrained Biaryl Units