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Effect of phase-lags on the transient waves in an axisymmetric functionally graded viscothermoelastic spherical cavity in radial direction

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TLDR
In this article, the analysis of transient wave characteristics in a functionally graded viscothermoelastic infinite medium with spherical cavity in the context of generalized thermelasticity is presented.
Abstract
This paper aims to present the analysis of transient wave characteristics in a functionally graded viscothermoelastic infinite medium with spherical cavity in the context of generalized thermoelasticity Continued series solution is used to solve simultanious differential equations for evaluating the field variables Convergence of the series solution is implemented and investigated that the series of functions are absolutely and uniformly convergent The formal solution for the field variables are obtained analytically and represented graphically The effect of grading index and different theories of generalized thermoelasticity are also shown graphically to examine the behavior of the variations of the field variables

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Citations
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Effect of three-phase-lag model on the analysis of three-dimensional free vibrations of viscothermoelastic solid cylinder

TL;DR: In this paper, the effects of three-phase-lag (TPL) model of generalized thermoelasticity on the exact analysis of 3-dimensional free vibrations of viscothermelastic solid cylinder, which is assumed undeformed initially and at uniform temperature, have been explored.
Journal ArticleDOI

Effect of dual-phase-lag model on the vibration analysis of nonlocal generalized thermoelastic diffusive hollow sphere

TL;DR: In this article, the authors inspect the nonlocal Erigen's elasticity model for free vibrations of thermoelastic diffusive sphere in the reference of dual-phase-lag (DPL) model of generalized thermo-elasticit...
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Effect of dual-phase-lag model on free vibrations of isotropic homogenous nonlocal thermoelastic hollow sphere with voids

TL;DR: In this paper, the analysis of free vibrations of a thermoelastic hollow sphere with voids is investigated under dual-phase-lag generalized thermo-elasticity and Erigen's nonlocal elasticity.
Journal ArticleDOI

Nonlocal elasticity and thermal dual‐phase‐lag effect on the vibration analysis of transversely isotropic electro‐magneto generalized thermoelastic sphere with voids

TL;DR: In this paper , the nonlocal elasticity together with electro−magneto thermal dual phase lag (DPL) model to a transversely isotropic generalized thermoelastic hollow sphere with voids is addressed in radial direction.
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Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

TL;DR: In this article , a generalized magneto-thermoelastic coupled solution is developed utilizing Laplace's transform, and the field variables are shown graphically and examined to demonstrate the impacts of the magnetic field, phase-lags, and other parameters on the field quantities.
References
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Journal ArticleDOI

A generalized dynamical theory of thermoelasticity

TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
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Thermoelasticity and Irreversible Thermodynamics

TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Journal ArticleDOI

Exact solutions for stresses in functionally graded pressure vessels

TL;DR: In this article, closed-form solutions for stresses and displacements in functionally graded cylindrical and spherical vessels subjected to internal pressure alone are obtained using the infinitesimal theory of elasticity.
Journal ArticleDOI

Thermal stress intensity factors for a crack in a strip of a functionally gradient material

TL;DR: In this paper, a crack in a strip of Functionally Gradient Material mathematically modeled by a nonhomogeneous solid with the prescribed surface temperature is studied, where all material properties depend only on the coordinate y (perpendicular to the crack faces) in such a way that the properties are some exponential functions of y.
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