Aleksey A. Vasiliev, Andrey E. Miroshnichenko, Sergey V. Dmitriev
Generalized continuum models of a Cosserat lattice are considered and their
applications to modeling of harmonic and localized static and dynamic shear
deformations in an interface are discussed. Single-field conventional and
gradient micropolar models are compared to the two-field long-wavelength
micropolar model and its gradient and four-field generalizations. The
single-field models can be applied to the analysis of long-wavelength
deformations. It is demonstrated that the multi-field models may be used to
describe both long-wavelength and short-wavelength harmonic waves and localized
deformations. Taking into account both long- and short-wavelength deformations
is im- portant for describing the filtering properties of structural solids and
boundary effects. The reported results are important for modeling of structural
interfaces because the length of localization in this case is often comparable
with the interface thickness.
View original:
http://arxiv.org/abs/1202.1410
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