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
Abstract

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.

Keywords
Cosserat media, generalized continuum models, microstructure, wave propagation, short wave solution, multifield models
Milestones
Received: 10 March 2008
Revised: 26 May 2008
Accepted: 1 June 2008
Published: 1 September 2008
Authors
Aleksey A. Vasiliev
Department of Mathematical Modelling
Tver State University
Sadoviy per. 35, 170002 Tver
Russia
http://homepages.tversu.ru/~p000149/
Andrey E. Miroshnichenko
Nonlinear Physics Centre
Research School of Physical Sciences and Engineering
The Australian National University
Canberra ACT 0200
Australia
http://www.rsphysse.anu.edu.au/nonlinear
Massimo Ruzzene
School of Aerospace Engineering
Georgia Institute of Technology
270 Ferst Drive
Atlanta GA 30332
United States
http://www.ae.gatech.edu/people/mruzzene/