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An analysis on the shear modulus of the modified Jeffreys model

Author

Listed:
  • Azikri de Deus, Hilbeth P.
  • Silva, Thales A. Barbosa Pinto
  • Itskov, Mikhail

Abstract

The thixotropic substances are presented in various industrial sectors, as cosmetic, paint, food and oil. A great number of constitutive models for thixotropic substances can be found in specialized literature. The focus of this work is the analysis of the shear modulus functional form, associated to the thermodynamically consistent constitutive model (the modified Jeffreys model) proposed in Azikri de Deus et al., aiming to propose an improved new functional form that shows a better behavior related to the rheological tests. This work presents a numeric-computational methodology, via inverse problems approach, as a consistent way to analyze the shear modulus behavior. It is important to point out the versatility of the proposed procedures presented in this work, being them able to be easily used in other different models.

Suggested Citation

  • Azikri de Deus, Hilbeth P. & Silva, Thales A. Barbosa Pinto & Itskov, Mikhail, 2019. "An analysis on the shear modulus of the modified Jeffreys model," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 649-665.
    • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:649-665
    DOI: 10.1016/j.amc.2018.10.029
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    References listed on IDEAS

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    1. Pokrovskii, Vladimir N., 2006. "A justification of the reptation-tube dynamics of a linear macromolecule in the mesoscopic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 88-106.
    2. Yaghouti, Mohammad Reza & Rezakhanlou, Fraydoun & Hammond, Alan, 2009. "Coagulation, diffusion and the continuous Smoluchowski equation," Stochastic Processes and their Applications, Elsevier, vol. 119(9), pages 3042-3080, September.
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