Thermoelastic Response of a Rotating Hollow Cylinder Based on Generalized Model with Higher Order Derivatives and Phase-Lags

On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags

In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction and depict microscopic responses more precisely. The constructed model is applied to s...

Eect of Rotation on Thermoelastic Waves with Green-Naghdi Theory in a Homogeneous Isotropic Hollow Cylinder

Estimation of Thermoelastic State of a Thermally Sensitive Functionally Graded Thick Hollow Cylinder: A Mathematical Model

The object of the present paper is to study temperature distribution and thermal stresses of a functionally graded thick hollow cylinder with temperature dependent material properties. All the material properties except Poisson’s ratio are assumed to be dependent on temperature. The nonlinear heat conduction with temperature dependent thermal conductivity and specific heat capacity is reduced t...

Mathematical Modeling of Thermoelastic State of a Thick Hollow Cylinder with Nonhomogeneous Material Properties

The object of the present paper is to study heat conduction and thermal stresses in a hollow cylinder with nonhomogeneous material properties. The cylinder is subjected to sectional heating at the curved surface. All the material properties except for Poisson’s ratio and density are assumed to be given by a simple power law in the axial direction. A solution of the two-dimensional heat conducti...

eect of rotation on thermoelastic waves with green-naghdi theory in a homogeneous isotropic hollow cylinder

Instantaneous Higher Order Phase Derivatives

We present methods, based on the short time Fourier transform, which may be used to analyze the structure of multicomponent FM modulated signals instantaneously in time and frequency. The methods build on previously presented cross-spectral methods. In this paper, we introduce the concept of higher order short time Fourier transform phase derivatives, which may be used to estimate signal trajec...