Real wave propagation in the isotropic-relaxed micromorphic model. (January 2017)

• Record Type: Journal Article
• Authors: Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; d'Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel
• Is Part Of: Proceedings. Volume 473:Number 2197(2017)
• Publication Date: 2017-01
• Subjects: ellipticity -- positive definiteness -- real wave velocity -- rank-one convexity -- acoustic tensor -- relaxed micromorphic model; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2016.0790
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : For the recently introduced isotropic-relaxed micromorphic generalized continuum model, we show that, under the assumption of positive-definite energy, planar harmonic waves have real velocity. We also obtain a necessary and sufficient condition for real wave velocity which is weaker than the positive definiteness of the energy. Connections to isotropic linear elasticity and micropolar elasticity are established. Notably, we show that strong ellipticity does not imply real wave velocity in micropolar elasticity, whereas it does in isotropic linear elasticity.