Abstract
A two-field and a version of a four-field micropolar modes of a medium with a microstructure are constructed. A structural model of the Cosserat lattice taking into account both translational and rotational degrees of freedom of the medium elements and corresponding waves is used as a basic one. The models are constructed based on a one-dimensional doubling of the unit cell and a corresponding increase in the number of fields for deformation description. Based on comparison with a discrete, single-field, and four-field micropolar models, it is shown that a multifield approach makes it possible to construct a system of models that describe dynamics of the bodies with a microstructure taking into account not only long-wave, but also short-wave, deformations.
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Vasiliev, A.A. Multifield modeling of Cosserat lattice dynamics. Acoust. Phys. 56, 831–839 (2010). https://doi.org/10.1134/S1063771010060060
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DOI: https://doi.org/10.1134/S1063771010060060