Formation of strain solitary waves in the Cosserat continuum with restricted rotation

Authors

  • Vladimir Ivanovich Erofeyev Nizhny Novgorod Branch of Blagonravov Mechanical Engineering Research Institute RAS
  • Alexander Isaevich Zemlyanukhin Saratov State Technical University
  • Vladimir Markovich Catson Saratov State Technical University
  • Sergey Finogentovich Sheshenin Nizhny Novgorod Branch of Blagonravov Mechanical Engineering Research Institute RAS

DOI:

https://doi.org/10.7242/1999-6691/2009.2.4.32

Keywords:

Cosserat continuum, restricted rotation, nonlinearity, viscoelasticity, soliton

Abstract

The nonlinear viscoelastic micropolar medium with restricted rotation (the Cosserat pseudo-continuum) is considered. Using the method of coupled normal waves, the original nonlinear system describing the dynamics of the medium is transferred to a system of evolutionary equations. It is shown that these evolutionary equations are four nonlinear partial differential equations two of which are the Burgers equations and the other two are the modified Korteweg-de Vries (mKdV) equations. The paper presents the results of the analytical and numerical study of nonlinear viscoelastic wave evolution.

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References

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Published

2009-07-01

Issue

Vol. 2 No. 4 (2009)

Section

Articles

License

Copyright (c) 2009 Computational Continuum Mechanics

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Erofeyev, V. I., Zemlyanukhin, A. I., Catson, V. M., & Sheshenin, S. F. (2009). Formation of strain solitary waves in the Cosserat continuum with restricted rotation. Computational Continuum Mechanics, 2(4), 67-75. https://doi.org/10.7242/1999-6691/2009.2.4.32