Multi-field modelling of Cosserat solids

TL;DR

This paper develops multi-field Cosserat continuum models based on a square lattice with microstructural rotations, improving the modeling of both long and short wavelength wave behaviors.

Contribution

It introduces a multi-field approach to Cosserat models derived from lattice structures, enhancing the accuracy of wave dispersion predictions.

Findings

Dispersion relations for multi-field models are derived and validated.

Multi-field models better capture short wavelength wave phenomena.

Comparison shows improved accuracy over basic Cosserat models.

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.