Two-dimensional wave propagation in a rotating elastic solid with voids

Tomar, S.K. and Ogden, R.W. (2014) Two-dimensional wave propagation in a rotating elastic solid with voids. Journal of Sound and Vibration, 333(7), pp. 1945-1952. (doi:10.1016/j.jsv.2013.11.043)

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Abstract

Two-dimensional wave propagation is studied in an isothermal linear isotropic elastic material with voids rotating with constant angular velocity based on a theory of elastic material with voids developed by Ieşan (1986) in the thermoelastic context. It is found that there exist three coupled plane waves propagating with distinct phase speeds. The presence of voids and the rotation of the medium are responsible for this coupling. In the absence of voids, the classical longitudinal and transverse waves are found to be coupled through the rotation of the medium. At very large frequency or when the angular rotation is very small relative to the wave frequency the waves are decoupled and propagate with distinct phase speeds. These are (i) a longitudinal wave, (ii) a transverse wave and (iii) a longitudinal wave corresponding to the change in void volume fraction. The first two correspond to the waves of classical elasticity, while the third is new and arises from the presence of the voids. The results are illustrated graphically.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ogden, Professor Raymond
Authors: Tomar, S.K., and Ogden, R.W.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Sound and Vibration
Publisher:Elsevier Ltd.
ISSN:0022-460X
ISSN (Online):1095-8568

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