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Multi-field modelling of Cosserat solids

A. A. Vasiliev·A. E. Miroshnichenko
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Abstract

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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A. A. Vasiliev, A. E. Miroshnichenko. 2005-10-03. Multi-field modelling of Cosserat solids. https://arxiv.org/abs/cond-mat/0305460

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