Multi-field continuum theory for medium with microscopic rotations

Details Multi-field continuum theory for medium with microscopic rotations Multi-field continuum theory for medium with microscopic rotations

2004-06-15

arxiv.org/abs/nlin/0406028v2

International Journal of Solids and Structures, Vol 42, 6245 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, 4 figures, submitted to International Journal of Solids and Structures

Scientific paper

10.1016/j.ijsolstr.2005.03.041

We derive the multi-field, micropolar-type continuum theory for the two-dimensional model of crystal having finite-size particles. Continuum theories are usually valid for waves with wavelength much larger than the size of primitive cell of crystal. By comparison of the dispersion relations, it is demonstrated that in contrast to the single-field continuum theory constructed in our previous paper the multi-field generalization is valid not only for long but also for short waves. We show that the multi-field model can be used to describe spatially localized short- and long wavelength distortions. Short-wave external fields of forces and torques can be also naturally taken into account by the multi-field continuum theory.

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