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Existence of minimizers for a geometrically exact Cosserat solid

  1. Patrizio Neff*

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410255

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PAMM

PAMM

Volume 4, Issue 1, pages 548–549, December 2004

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How to Cite

Neff, P. (2004), Existence of minimizers for a geometrically exact Cosserat solid. Proc. Appl. Math. Mech., 4: 548–549. doi: 10.1002/pamm.200410255

Author Information

  1. Fachbereich Mathematik, TU Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany

*Phone: +49 6151 16 3495, Fax: +49 6151 16 4011

Publication History

  1. Issue published online: 13 DEC 2004
  2. Article first published online: 13 DEC 2004

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References

  • [1]
    G. Capriz, Continua with Microstructure (Springer, Heidelberg 1989).
  • [2]
    E. Cosserat and F. Cosserat, Théorie des corps déformables (Librairie Scientifique A. Hermann et Fils, Paris 1909).
  • [3]
    A. C. Eringen, Microcontinuum Field Theories (Springer, Heidelberg 1999).
  • [4]
    G. A. Maugin, On the structure of the theory of polar elasticity, Phil. Trans. Roy. Soc. London, 356, 1367-1395 (1998).
  • [5]
    P. Neff, On Korn's first inequality with nonconstant coefficients, Proc. Roy. Soc. Edinb., 132A, 221-243 (2002).
  • [6]
    P. Neff, Finite multiplicative elastic-viscoplastic Cosserat micropolar theory for polycrystals with grain rotations. Modelling and mathematical analysis, Darmstadt University of Technology, Preprint 2297, http://wwwbib.mathematik.tu-darmstadt.de/Math-Net/Preprints/Listen/pp03.html (2003).
  • [7]
    P. Neff, A geometrically exact micromorphic elastic solid. Modelling and existence of minimizers, Darmstadt University of Technology, submitted (2004).
  • [8]
    W. Pompe, Korn's first inequality with variable coefficients and its generalizations, Comment. Math. Univ. Carolinae, 44,1, 57–70 (2003).
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