Linear grade-consistent micropolar theory

A linearization is performed of a previously presented, so-called grade-consistent micropolar theory, where the free energy is assumed to contain also second order derivatives of the displacement, an order which is argued to match the conventional first order derivatives of the micropolar angle. Dimensionless constitutive constants are introduced, which facilitates the discussion of orders of magnitude. The theory is applied to harmonic plane waves. By means of the dispersion relations the possible magnitudes of the different, conventional and new micropolar effects are preliminarily discussed.