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On wave propagation in a random micropolar generalized thermoelastic medium

On wave propagation in a random micropolar generalized thermoelastic medium AbstractThis paper endeavours to study aspects of wave propagation in a random generalized-thermal micropolar elastic medium. The smooth perturbation technique conformable to stochastic differential equations has been employed. Six different types of waves propagate in the random medium. The dispersion equations have been derived. The effects due to random variations of micropolar elastic and generalized thermal parameters have been computed. Randomness causes change of phase speed and attenuation of waves. Attenuation coefficients for high frequency waves have been computed. Second moment properties have been briefly discussed with application to wave propagation in the random micropolar elastic medium. Integrals involving correlation functions have been transformed to radial forms. A special type of generalized thermo-mechanical auto-correlation functions has been used to approximately compute effects of random variations of parameters. Uncoupled problem has been briefly outlined. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archives of Thermodynamics de Gruyter

On wave propagation in a random micropolar generalized thermoelastic medium

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Publisher
de Gruyter
Copyright
© Polish Academy of Sciences
ISSN
2083-6023
eISSN
2083-6023
DOI
10.1515/aoter-2017-0009
Publisher site
See Article on Publisher Site

Abstract

AbstractThis paper endeavours to study aspects of wave propagation in a random generalized-thermal micropolar elastic medium. The smooth perturbation technique conformable to stochastic differential equations has been employed. Six different types of waves propagate in the random medium. The dispersion equations have been derived. The effects due to random variations of micropolar elastic and generalized thermal parameters have been computed. Randomness causes change of phase speed and attenuation of waves. Attenuation coefficients for high frequency waves have been computed. Second moment properties have been briefly discussed with application to wave propagation in the random micropolar elastic medium. Integrals involving correlation functions have been transformed to radial forms. A special type of generalized thermo-mechanical auto-correlation functions has been used to approximately compute effects of random variations of parameters. Uncoupled problem has been briefly outlined.

Journal

Archives of Thermodynamicsde Gruyter

Published: Jun 27, 2017

References