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arxiv: 0803.0372 · v3 · submitted 2008-03-04 · ❄️ cond-mat.mtrl-sci

Multifield model for Cosserat media

classification ❄️ cond-mat.mtrl-sci
keywords modelcosseratgradienthigher-ordermediamicropolarshortsingle-field
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We construct a two-field higher-order gradient micropolar model for Cosserat media on the basis of a square lattice of elements with rotational degrees of freedom. This model includes equations of single-field higher-order gradient micropolar theory, and additional ones, which allow modelling of short wavelength phenomena. We demonstrate an example of short wavelength spatially localized static deformations in a structural system, which could not be obtained in the classical single-field framework, but which are captured by the proposed two-field model.

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