Analysis of wave motion in micropolar plate possessing cubic symmetry

• Autorzy: Kumar R. , Partap G.
• Języki publikacji: EN

Abstrakty

EN

The present paper concentrates at studying the analysis of wave motion in a homogenous isotropic micropolar plate possessing cubic symmetry. The upper and lower surfaces of the plate are subjected to stress free conditions. The frequency equations for symmetric and skewsymmetric wave modes of propagation are derived. The amplitudes of displacement components and microrotation are also computed and presented graphically during the symmetric and skewsymmetric motion of the plate. Finally, in order to illustrate and verify the analytical developments, numerical solution of frequency equation corresponding to stress free micropolar cubic crystal plate is carried out for magnesium crystal material and represented graphically. The results of phase velocity, displacements and microrotation have been compared for micropolar cubic crystal plate and micropolar elastic plate and illustrated graphically.

Słowa kluczowe

EN

micropolar plate; cubic symmetry; frequency equations; phase velocity; amplitudes

PL

prędkość fazowa; amplituda; ruch falowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2009
• Tom: Vol. 14, no 2
• Strony: 403--414
• Opis fizyczny: Bibliogr. 10 poz., wykr.

Twórcy

autor

Kumar R.

autor

Partap G.

• Department of Mathematics Kurukshetra University Kurukshetra, Haryana, INDIA-136 119,

Bibliografia

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• Eringen A.C. (1968b): Theory of Micropolar Elasticity, Fracture. ed. H.Leowitz (New York: Academic Press), p.621.
• Kumar R. and Ailawalia P. (2005a): Elastodynamics of inclined loads in a micropolar cubic crystals. - Mechanics and Mechanical Engineering, vol.9, pp.57-75.
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• Kumar R. and Ailawalia P. (2006): Interaction due to mechanical sources in micropolar cubic crystals. - International Journal of Applied Mechanics and Engineering, vol.11, pp.337-357.
• Kumar R. and Ailawalia P. (2007): Steady state response due to moving load at the free surface of micropolar cubic crystal. - International Journal of Applied Mechanics and Engineering, vol.12, pp.401-411.
• Lie K.-H.C. and Koehler J.S. (1968): The elastic stress field produced by a point force in a cubic crystal. - Adv. Phys., vol.17, pp.421-478.
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