Rayleigh wave propagation with two temperature and diffusion in context of three phase lag thermoelasticity

• Published in: Journal of ocean engineering and science 2024-08, Vol.9 (4), p.317-325
• Main Authors: Singh, Mandeep, Kumari, Sangeeta
• Format: Article
• Language: English
• Subjects: Attenuation coefficient; Diffusion; Normal mode analysis; Rayleigh waves; Thermoelasticity; Three phase lag
• ISSN: 2468-0133; 2468-0133
• DOI: 10.1016/j.joes.2022.02.003

•Rayleigh wave propagation in homogeneous isotropic half space with mass diffusion in Three Phase Lag thermoelasticity at two temperature.•Normal mode analysis is used to obtain the Rayleigh wave frequency equation at relevant boundary conditions.•Relevant cobalt material parameter has been considered to demonstrate the variation of various parameters of Rayleigh wave propagation.•Variation of non-dimensional speed, attenuation coefficient, penetration depth and specific loss has been demonstrated graphically.•Variation of parameters have been compared within Lord-Shulman (L-S), Green-Nagdhi (GN-III) and Three phase lag theory of thermoelasticity. The primary objective of this research problem is to analyze the Rayleigh wave propagation in homogeneous isotropic half space with mass diffusion in Three Phase Lag (TPL) thermoelasticity at two temperature. The governing equations of thermodiffusive elastic half space have been solved using the normal mode analysis in order to obtain the Rayleigh wave frequency equation at relevant boundary conditions. The variation of various parameters like non-dimensional speed, attenuation coefficient, penetration depth and specific loss corresponding to thermodiffusion parameter, relaxation time, wave number and frequency has been obtained. The effect of these parameters on Rayleigh wave propagation in thermoelastic half space are graphically demonstrated and variations of all these parameters have been compared within Lord–Shulman (L-S), Green–Nagdhi (GN-III) and Three Phase Lag (TPL) theory of thermoelasticity.