Multifield model for Cosserat media

TL;DR

This paper introduces a two-field higher-order gradient micropolar model for Cosserat media that captures short wavelength phenomena and localized static deformations, surpassing classical models.

Contribution

The paper develops a novel two-field model that extends classical micropolar theory to include short wavelength effects and localized deformations in Cosserat media.

Findings

Model captures short wavelength spatially localized static deformations.

Demonstrates phenomena not possible with classical single-field models.

Provides a framework for advanced modeling of Cosserat media.

Abstract

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.