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The Structure of Dispersion Relation in Hyperbolic Thermoelasticity
Author(s) -
Dobovšek Igor
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310180
Subject(s) - thermoelastic damping , homogeneous , dispersion relation , dispersion (optics) , plane (geometry) , plane wave , field (mathematics) , deformation (meteorology) , mathematical analysis , physics , mathematics , wave propagation , classical mechanics , mechanics , geometry , optics , thermal , statistical physics , pure mathematics , meteorology
For a system of field equations of hyperbolic thermoelasticity we derive a propagation condition for a thermoelastic disturbance in a form of homogeneous plane wave in deformation and temperature. The corresponding dispersion relation is given in an explicit form, together with the discussion of di.erent types of homogeneous thermoelastic plane waves that may emerge from the resulting system of coupled PDEs.