نتایج جستجو برای: generalized thermoelastic diffusion

تعداد نتایج: 328120  

1998
M. A. BIOT

A unified treatment is presented of thermoelasticity by application and further developments of the methods of irreversible thermodynamics. The concept of generalized free energy introduced in a previous publication plays the role of a " thermoelastic potential " and is used along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement. The g...

2015
A. Y. Afram S. E. Khader

In this work, we apply the fractional order thermoelasticity diffusion theory to a problem for a halfspace. The surface is taken to be traction free and subjected to a time dependent thermal shock. The chemical potential is assumed to be a known function of time on the bounding plane. Laplace and exponential Fourier transform techniques are used to obtain the solution by a direct approach. The ...

2001
X. Wang X. Xu

In this work, a generalized solution for the thermoelastic plane wave in a semi-infinite solid induced by pulsed laser heating is developed. The solution takes into account the non-Fourier effect in heat conduction and the coupling effect between temperature and strain rate, which play significant roles in ultrashort pulsed laser heating. Based on this solution, calculations are conducted to st...

The present investigation deals with study of thermoelastic damping and frequency shift of Kirchhoff plate resonators by using generalized thermoelasticity theory of dual-phase-lag model. The basic equations of motion and heat conduction equation are written with the help of Kirchhoff-Love plate theory and dual phase lag model. The analytical expressions for thermoelastic damping and frequency ...

The stress wave propagation in a generalized thermoelastic polygonal plate of inner and outer cross sections is studied using the Fourier expansion collocation method. The wave equation of motion based on two-dimensional theory of elasticity is applied under the plane strain assumption of generalized thermoelastic plate of polygonal shape, composed of homogeneous isotropic material.  The freque...

In this work, the problem of Rayleigh wave propagation is considered in the context of the theory of thermoelastic diffusion. The formulation is applied to a homogeneous isotropic thermoelastic half space with mass diffusion at the stress free, isothermal, isoconcentrated boundary. Using the potential functions and harmonic wave solution, three coupled dilatational waves and a shear wave is obt...

Journal: :Metals 2022

Thermoelastic modeling at nanoscale is becoming more important as devices shrink and heat sources are widely used in modern industries, such nanoelectromechanical systems. However, the conventional thermoelastic theories no longer applicable high-temperature settings. This study provides an insight into thermomechanical features of a nonlocal viscous half-space exposed to cyclic source. Using n...

Journal: :Mathematical Problems in Engineering 2014

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