On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity

Abstract

The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a halfspace are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.

Wave propagation in different theories of fractional thermoelasticity

“…The Rayleigh wave along both isothermal and insulated surfaces was examined by Chadwick and Windle [21]. Thereafter, various problems on the Rayleigh waves in thermoelasticity with additional parameters were studied [22][23][24][25][26][27][28][29][30][31][32][33]. The present work is motivated by the theoreis of fractional thermoelasticity given by Sherief et al [11] and Youssef [12].…”

Wave propagation in context of Moore–Gibson–Thompson thermoelasticity with Klein–Gordon nonlocality

“…These waves are mainly applied for characterization of material and to investigate the structural and mechanical properties of the objects. The propagation of Rayleigh waves in thermoelastic media finds numerous uses in different engineering fields and future technologies and was explored by many investigators including Flavin [8], Chadwick and Windle [9], Ivanov [10], Abouelregal [11], Chirita [12], Bucur et al [13], Singh [14], Singh and Verma [15] and Passarella et al [16].…”