Generalized thermoelastic wave propagation in circumferential direction of transversely isotropic cylindrical curved plates

Modeling and analysis of waves in a heat conducting thermo-elastic plate of elliptical shape

“…Erbay and Suhubi (1986) studied the longitudinal wave propagation in a generalized thermoplastic infinite cylinder and obtained the dispersion relation for a constant surface temperature of the cylinder. Sharma and Pathania (2005) investigated the generalized wave propagation in circumferential curved plates. Asymptotic of wave motion in transversely isotropic plates was analyzed by Sharma and Kumar (2012).…”

Modelling of circumferential waves in cylindrical thermoelastic plates with voids

“…The generation of surface waves in circumferential direction with a plane wave front requires the circumferential wave speed to be a function of the radial distance [7,16]. Adopting the same formulation here and assuming that the phase velocity is not constant but changes with radius, therefore the phase velocity at a point having radius r is defined as…”

“…Many investigators [9][10][11][12][13][14][15] thermoelastic wave propagation problems in homogeneous isotropic and anisotropic solids. Sharma and Pathania [16] studied the propagation of generalized thermoelastic waves in circumferential direction of homogeneous transversely isotropic cylindrical curved plates subjected to stress free/rigidly fixed and thermally insulated/isothermal boundary conditions by using potential function approach. Three-dimensional exact analysis of free vibrations of homogeneous, transversely isotropic thermoelastic cylindrical panels have been investigated by Sharma [17] in the context of coupled thermoelasticity and by Sharma and Sharma [18] upon basing their analysis on nonclassical (generalized) theories of thermoelasticity respectively.…”

“…The linear theory of elasticity with voids [20] and thermoelasticity with voids [21] supplemented with Lord and Shulman [9] model of non-classical thermoelasticity have been employed to study the propagation of thermoelastic waves in curved cylindrical plates with voids along circumferential direction. The mathematical analysis is carried out on the approach followed by Sharma and Pathania [16] to explore the effects and modifications on the wave characteristics due to voids in homogeneous isotropic material plates capable of conducting heat. The closed form solutions have been obtained under different situations and conditions by directly using Bessel's function with complex arguments.…”

Advances in Thermoelastic Damping in Micro- and Nano- Mechanical Resonators: a Review

“…Two simplifying assumptions were made: (a) the problem is two-dimensional with plane strain or plain stress conditions, and (b) the elastic properties do not depend on the temperature. Sharma and Pathania [47] investigated the propagation of thermoelastic waves along circumferential direction in homogeneous, transversely isotropic, cylindrical curved plates has been in the context of theories of thermoelasticity. The model was simplified by using the Helmholtz decomposition technique and the resulting equations were solved by using separation of variable method to obtain the secular equations in isolated mathematical conditions for the plates with stress-free or rigidly fixed, thermally insulated and isothermal boundary surfaces.…”