Authors: Othman, M I.; Song, Y Q.

Source: Canadian Journal of Physics, Volume 85, Number 7, July 2007 , pp. 797-812(16)

Publisher: NRC Research Press

Abstract:

Reflection and refraction of a plane harmonic wave at the interface between two viscoelastic media are studied under generalized thermo-viscoelastic theory. Using potential function, the governing equations reduce to two fourth-order ifferential equations. Coefficient ratios of reflection and refraction of different waves with the angle of incidence are obtained using continuous boundary conditions. By numerical calculations, the variation of coefficient ratios of reflection and refraction with the angle of incidence are illustrated graphically for aluminium-epoxy and magnesium crystal micropolar viscoelastic materials. Also, the effects of viscous and micropolar elastic are illustrated by numerical results in the theory of thermo-viscoelasticity without energy dissipation.PACS No.: 62.20.Dc

Dans le cadre de la théorie généralisée de la thermoélasticité, nous étudions la réflexion et la réfraction d'une onde plane harmonique à l'interface entre deux milieux viscoélastiques. En utilisant une fonction de potentiel, les équations décrivant le système se réduisent à deux équations différentielles du quatrième ordre. Nous obtenons les rapports des coefficients de réflexion et de réfraction en fonction de l'angle d'incidence lorsque les conditions aux limites sont continues. Nous présentons graphiquement les résultats de calculs numériques donnant la variation de ces rapports à une interface entre des milieux micropolaires élastiques composés d'aluminium-époxy et d'un cristal de magnésium. De plus, nous illustrons par calcul numérique les effets de l'élasticité visqueuse et micropolaire dans le cadre de la théorie thermo-viscoélastique sans dissipation d'énergie.[Traduit par la Rédaction]

Document Type: Research article

Publication date: 2007-07-01

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