Multi-field modeling of a Cosserat lattice: Models, wave filtering, and boundary effects

Date

2014

Authors

Vasiliev, A A
Dmitriev, Sergey V
Miroshnichenko, Andrey

Journal Title

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Volume Title

Publisher

Elsevier

Abstract

Various generalized continuum models are developed to analyze the one-dimensional shear deformations of a Cosserat lattice. The original discrete model and the derived continuum models are applied to the analysis of long- and short-wavelength harmonic waves, localized waves, static boundary effects, and the spectrum stop bands in the wave filtering problem. It is found that the conventional single-field and gradient micropolar models are capable of describing the long-wavelength harmonic and localized waves, as well as the static non-staggered boundary effects. However, such models fail to correctly describe the short-wavelength waves, they cannot be used to find the spectrum stop bands and to study staggered boundary effects. On the other hand, the multi-field theory is able to tackle all these problems.

Description

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Citation

Source

European Journal of Mechanics A - Solids

Type

Journal article

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Access Statement

License Rights

DOI

10.1016/j.euromechsol.2014.02.011

Restricted until

2037-12-31