Abstract
Multi-walled carbon nanotube-reinforced polypropylene (MWCNT/PP) nanocomposites were prepared through solution mixing and characterized for their nonlinear viscoelastic behaviour. The effect of applied stress, time and temperature was studied to obtain compliance responses. Time–temperature superposition principle was applied on experimentally obtained isothermal compliance curves using horizontal shift factors from William–Landel–Ferry and Arrhenius models. Horizontal shifting was found to be helpful in determining temperature-dependent short- and long-term behaviour of the developed nanocomposite material. Neat PP material was found to be more prone to deformation at considered temperatures. 1% MWCNT PP nanocomposite was observed with lower compliance as compared to other samples.
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Tschoegl, N. W., Knauss, W. G., Emri, I.: The effect of temperature and pressure on the mechanical properties of thermo and/or piezorheologically simple polymeric materials in thermodynamic equilibrium: a critical review. Mech. Time-Depend. Mater. 6, 53–99 (2002)
Billen, J.: Williams–Landel–Ferry and Vogel Fulcher Tamman equations. College of Sciences, San Diego State University, California, United States. http://www.sci.sdsu.edu/~jbillen/WLF.pdf (2012)
Khare, V., Srivastava, S., Kamle, S., Kamath, G. M.: Effect of filler functionalization on the thermomechanical behaviour of polypropylene nanocomposites. SICE-2018. DMRL Hyderabad India (2018)
Khare, V., Kumar, D., Kamath, G. M., Kamle, S..: Time temperature dependent creep and recovery behaviour of MWCNTs-polypropylene nanocomposites. Challenges in mechanics of time-dependent materials, Vol. 2. In: Conference Proceedings of the Society for Experimental Mechanics Series. Springer (2018)
Roylance, D.: Engineering Viscoelasticity. Department of Materials Science and Engineering. Massachusetts Institute of Technology, Cambridge (2001)
Klompen, E. T. J., Govaert, L. E.: Nonlinear viscoelastic behaviour of thermorheologically complex materials. Mech. Time-Depend. Mater. 3, 49–69 (1999)
Golden, H., Strganac, T. W., Schapery, R. A.: An approach to characterize nonlinear viscoelastic material behavior using dynamic mechanical tests and analyses. J. Appl. Mech. 66, 1–11 (1999)
Zhu, Y., Liu, Q., Liu, B., Jiang, J.: Theory of time temperature stress equivalent principle based on schapery equation and its application on granite. Mater. Sci. (MEDŽIAGOTYRA). 20(4), 522–528 (2014)
Kolarik, J., Pegoretti, A.: Non-linear tensile creep of polypropylene: time-strain superposition and creep prediction. Polymer 47, 346–356 (2006)
Jia, Y., Peng, K., Gong, X. L., Zhang, Z.: Creep and recovery of polypropylene/carbon nanotube composites. Int. J. Plast. 27, 1239–1251 (2011)
Erik, M., Janis, V.: Nonlinear viscoelasticity and viscoplasticity of flax/polypropylene composites. ASME Trans. J. Eng. Mater. Technol. 128, 527–536 (2006)
Jorgen, B.: Mechanics of Solid Polymers. Elsevier, Theory and Computational Modeling (2015)
Rafiqul, A.: Tarefder. Interconversion of dynamic modulus to creep compliance and relaxation modulus: numerical modeling and laboratory validation. SOLARIS Consortium, Tier 1 University Transportation Center Center for Advanced Transportation Education and Research. University of Nevada, Reno, NV (2016)
Levenberg, K.: A method for the solution of certain nonlinear problems in least squares. Quart. Appl. Math. 2, 164–168 (1944)
Mun, S., Chehab, G. R., Kim, Y. R.: Determination of time-domain viscoelastic functions using optimized interconversion techniques. In: RMPD – 8/2007. Models and Methods for Bituminous Materials. 351–365. Taylor and Francis (2013)
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The authors gratefully acknowledge the support and facilities from structures and materials characterization laboratory in the department of aerospace engineering at IIT Kanpur, where experiments were carried out. Financial support from MHRD, New Delhi is highly appreciated.
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Khare, V., Kamle, S. Development of master curves for nonlinear viscoelastic behaviour of nanofiller-reinforced composites. Int J Adv Eng Sci Appl Math 12, 73–80 (2020). https://doi.org/10.1007/s12572-020-00270-w
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DOI: https://doi.org/10.1007/s12572-020-00270-w