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For the recently introduced isotropic relaxed micromorphic generalizedcontinuum model, we show that under the assumption of positive definite energy,planar harmonic waves have real velocity. We also obtain a necessary andsufficient condition for real wave velocity which is weaker thanpositive-definiteness of the energy. Connections to isotropic linear elasticityand micropolar elasticity are established. Notably, we show that strongellipticity does not imply real wave velocity in micropolar elasticity, whileit does in isotropic linear elasticity.

Real wave propagation in the isotropic relaxed micromorphic model