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Effect of gravity on visco-elastic surface waves in solids involving time rate of strain and stress of first order
Authors:Tapan Das Kumar  P R Sengupta
Affiliation:(1) Department of Mathematics, University of Kalyani, PO Kalyani, 741 235 Dist. Nadia, India;(2) Present address: Indian Institute of Mechanics of Continua, c/o Dr. Pran Ranjan Sengupta, India;(3) Present address: 201, Manicktala Main Road, Suite No. 42, 700 054 Calcutta, India
Abstract:The aim of the present paper is to study the effect of gravity on visco-elastic surface waves in solids. The wave velocity equations are deduced from Biot’s theory of initial stress on the assumption that gravity creates a type of initial stress — hydrostatic in nature. Resulting equations are used to investigate surface waves of the Rayleigh, Love and Stoneley types. Results are in good agreement with corresponding classical results when gravity and viscosity are neglected.
Keywords:Visco-elastic  first order  surface waves  gravity
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