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Mechanics of Generalized Continua pp 15–24Cite as

On Semi-Holonomic Cosserat Media

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Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 21))

Abstract

The notions of semi-holonomic and quasi-holonomic Cosserat media are introduced and their differences outlined. Contrary to the classical holonomic and non-holonomic counterparts, the definition of semi- and quasi-holonomic media is not kinematic but constitutive. Possible applications include granular media embedded in a rigid matrix and colloidal suspensions in an ideal incompressible fluid.

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References

  1. Cosserat, E., Cosserat, F.: Théorie des corps déformables. Hermann et Fils, Paris (1909)

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  2. Epstein, M., de León, M.: Homogeneity conditions for generalized Cosserat media. J. Elast. 43, 189–201 (1996)

    Article  MATH  Google Scholar 

  3. Epstein, M., de León, M.: Geometrical theory of uniform Cosserat media. J. Geom. Phys 26, 127–170 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  4. Epstein, M., Elżanowski, M.: Material Inhomogeneities and Their Evolution. Springer, Berlin (2007)

    MATH  Google Scholar 

  5. Eringen, A.C.: Microcontinuum Field Theories. Springer, Berlin (1999)

    MATH  Google Scholar 

  6. Moosaie, A., Atefi, G.: Analysis of concentrated suspension flow by utilizing a Cosserat-type continuum theory. J. Dispers. Sci. Technol. 28, 901–906 (2007)

    Article  Google Scholar 

  7. Zhang, X., Jeffrey, R.G., Mai, Y.-W.: A micromechanics-based Cosserat-type model for dense particulate solids. Z. Angew. Math. Phys. 57, 682–707 (2006)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, T2N 1N4, Canada

    Marcelo Epstein

Authors
  1. Marcelo Epstein
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Corresponding author

Correspondence to Marcelo Epstein .

Editor information

Editors and Affiliations

  1. Institut Jean Le Rond d'Alembert, Université Paris VI, place Jussieu 4, Paris CX 5, 75252, France

    Gérard A. Maugin

  2. Faculty of Civil Engineering and, Delft University of Technology,, Stevinweg 1, Delft, 2628 CN, Netherlands

    Andrei V. Metrikine

Additional information

Dedicated to the memory of the Cosserat brothers on the centenary of the publication of their magnum opus [1]

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Epstein, M. (2010). On Semi-Holonomic Cosserat Media. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_2

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