Multi-field modelling of Cosserat solids

Details Multi-field modelling of Cosserat solids Multi-field modelling of Cosserat solids

2003-05-20

arxiv.org/abs/cond-mat/0305460v2

Journal of the Mechanical Behavior of Materials, 16(6), 379-392 (2005)

Physics

Condensed Matter

Materials Science

11 pages, 3 figures

Scientific paper

We construct multi-field generalisations of the Cosserat continuum model on the basis of the square lattice model that takes into account rotational degree of freedom of microstructural elements. This approach allows us to model not only long but also short wavelength fields of displacements and rotations. The accuracy of the wave solutions is examined. The dispersion relations of plane harmonic waves for multi-field Cosserat continuum models are obtained and compared with those of the basic model.

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