Multi-field continuum theory for medium with microscopic rotations

  title={Multi-field continuum theory for medium with microscopic rotations},
  author={Aleksey A. Vasiliev and Sergey V. Dmitriev and Andrey E. Miroshnichenko},
  journal={International Journal of Solids and Structures},
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… Expand

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