|
|||||
 |
|
|
|
|
|
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/ | |
|
