Section 16

You have free access to this content

Existence of minimizers for a geometrically exact Cosserat solid

  1. Patrizio Neff*

Article first published online: 13 DEC 2004

DOI: 10.1002/pamm.200410255

Issue

PAMM

PAMM

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

Additional Information

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

SEARCH

SEARCH BY CITATION

ARTICLE TOOLS

Get PDF (141K)

Abstract

We study a geometrically exact Cosserat continuum model. The model is investigated in variational form as a two-field minimization problem for the deformation φ and the independent microrotation equation image. The elastic energy is assumed to depend quadratically on the micropolar stretch tensor _ and super-quadratically on the curvature equation image. Depending on the values of constitutive parameters, existence of minimizers in Sobolev-spaces can be shown. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Get PDF (141K)