Multifield modeling of Cosserat lattice dynamics

作者：Vasiliev A A^*

来源：Acoustical Physics, 2010, 56(6): 831-839.

DOI：10.1134/S1063771010060060

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.

• 出版日期2010-11