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Surface waves in a micropolar elastic solid containing voids
Authors:Asit K Mondal  Debipada P Acharya
Institution:(1) Department of Mathematics, Kidderpore College Kolkata, 700 023 West Bengal, India;(2) 109/3, Kailash Roychowdhuri Road, Manirampur, Barrackpur Kolkata, 700 120 West Bengal, India
Abstract:The present paper investigates the effect of voids on the propagation of surface waves in a homogeneous micropolar elastic solid medium which contains a distribution of vacuous pores (voids). The general theory for surface wave propagation in micropolar elastic media containing voids has been presented. Particular cases of surface waves (Rayleigh’s, Love’s and Stoneley’s) in micropolar media which contain vacuous pores have been deduced from the above general theory. Discussions have been made in each case to highlight the effect of voids and micropolar character of the material medium separately. Their joint effect has also been studied in details. Modulation of Rayleigh wave velocity has been studied numerically. It is observed that Love waves are not affected by the presence of voids.
Keywords:voids  microrotation vector  microinertia  surface waves  volume fraction field  couple stress tensor
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