Premium
On the constitutive inequalities and acceleration waves in micropolar media
Author(s) -
Altenbach Holm,
Eremeyev Victor A.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810417
Subject(s) - thermoelastic damping , hadamard transform , compatibility (geochemistry) , nonlinear system , physics , algebraic number , mathematical analysis , classical mechanics , analogy , acceleration , mathematics , quantum mechanics , materials science , linguistics , thermal , meteorology , philosophy , composite material
Acceleration waves in nonlinear thermoelastic micropolar media are considered. We establish the kinematic and dynamic compatibility relations for a singular surface of order 2 in the media. An analogy to the Fresnel–Hadamard–Duhem theorem and an expression for the acoustic tensor are derived. The condition for acceleration wave's propagation is formulated as an algebraic spectral problem. It is shown that the condition coincides with the strong ellipticity of equilibrium equations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)