Vol. 3, No. 7, 2008

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Multifield model for Cosserat media

Aleksey A. Vasiliev, Andrey E. Miroshnichenko and Massimo Ruzzene

Vol. 3 (2008), No. 7, 1365–1382

We construct a two-field higher-order gradient micropolar model for Cosserat media on the basis of a square lattice of elements with rotational degrees of freedom. This model includes equations of single-field higher-order gradient micropolar theory, and additional ones, which allow modelling of short wavelength phenomena. We demonstrate an example of short wavelength spatially localized static deformations in a structural system, which could not be obtained in the classical single-field framework, but which are captured by the proposed two-field model.

Cosserat media, generalized continuum models, microstructure, wave propagation, short wave solution, multifield models
Received: 10 March 2008
Revised: 26 May 2008
Accepted: 1 June 2008
Published: 1 September 2008
Aleksey A. Vasiliev
Department of Mathematical Modelling
Tver State University
Sadoviy per. 35, 170002 Tver
Andrey E. Miroshnichenko
Nonlinear Physics Centre
Research School of Physical Sciences and Engineering
The Australian National University
Canberra ACT 0200
Massimo Ruzzene
School of Aerospace Engineering
Georgia Institute of Technology
270 Ferst Drive
Atlanta GA 30332
United States