Open AccessFull thermomechanical coupling in modelling of micropolar thermoelasticity
Author(s) -
Е. В. Мурашкин,
Yuri Nikolaevich Radayev
Publication year - 2018
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/991/1/012061
Subject(s) - thermoelastic damping , helmholtz free energy , physics , helmholtz equation , plane wave , mathematical analysis , plane (geometry) , classical mechanics , mechanics , mathematics , thermal , geometry , thermodynamics , boundary value problem , quantum mechanics
The present paper is devoted to plane harmonic waves of displacements and microrotations propagating in fully coupled thermoelastic continua. The analysis is carried out in the framework of linear conventional thermoelastic micropolar continuum model. The reduced energy balance equation and the special form of the Helmholtz free energy are discussed. The constitutive constants providing fully coupling of equations of motion and heat conduction are considered. The dispersion equation is derived and analysed in the form bi-cubic and bi-quadratic polynoms product. The equation are analyzed by the computer algebra system Mathematica . Algebraic forms expressed by complex multivalued square and cubic radicals are obtained for wavenumbers of transverse and longitudinal waves. The exact forms of wavenumbers of a plane harmonic coupled thermoelastic waves are computed.