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A three-phase-lag (TPL) model is proposed to describe heat transfer in a finite domain skin tissue with temperature dependent metabolic heat generation. The Laplace transform method is applied to solve the problem. Three special types of heat flux are applied to the boundary of skin tissue for thermal therapeutic applications. The depth of tissue is influenced by the different oscillation heat flux...
The present investigation is concerned with a two dimensional axisymmetric problem in a homogeneous isotropic micropolar porous thermoelastic circular plate by using the eigen value approach. The Laplace and Hankel transform are used to solve the problem. The expression of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain...
The present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of...
In this paper the reflection and transmission at a plane interface in modified couple stress generalized thermoelastic solid half spaces in the context of Loard-Shulman (LS) and Green-Lindsay (GL) theories in welded contact are investigated. Amplitude ratios of various reflected and transmitted waves are obtained due to incidence of a set of coupled longitudinal waves and coupled transverse waves...
In the present article, we construct the fundamental solution to a system of differential equations in micropolar viscothermoelastic solids with voids in case of steady oscillations in terms of elementary functions. Some basic properties of the fundamental solution are also established.
In this work, a compact form of different theories of thermoelasticity is considered. The governing equations for particle motion in a homogeneous isotropic thermoelastic medium are presented. Uniqueness and reciprocity theorems are proved. The plane wave propagation in a homogeneous isotropic thermoelastic medium is studied. For a three dimensional problem there exist four waves, namely a P-wave,...
The problem of reflection of plane waves in a micropolar thermodiffusion elastic is investigated in the context of the coupled theory. The amplitude ratios of various reflected waves are continuous functions of the angle of incidence and material parameters of the medium. A graphical representation of amplitude ratios is presented and the impact of micropolarity and diffusion property of the medium...
A frequency equation for Stoneley waves at a bonded interface between two swelling porous elastic half spaces [SP/SP] is derived. It is found that Stoneley waves in a swelling porous elastic medium are dispersive in nature. Numerical computations are performed to study the variation of phase velocity and attenuation coefficient with respect to the wave number. Amplitude ratios are obtained and also...
A dynamic problem in a thermoviscoelastic material with rotation is investigated for the disturbance due to thermomechanical sources. To solve the problem the Laplace and Fourier transform techniques are applied. Concentrated and uniformly distributed sources are taken as an application of the approach. A numerical inversion technique is used to invert the integral transform and to obtain the components...
The present paper is concerned with the propagation of waves in a couple stress elastic half space lying under an inviscid liquid layer in the context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. It is observed that shear waves get decoupled from the rest of the motion. After developing the formal solution, the secular equations for surface wave propagation are...
The problem of reflection of plane waves in a micropolar thermodiffusive elastic has been investigated in the context of coupled theory. The amplitude ratios of various reflected waves are continuous function of the angle of incidence and material parameters of the medium. A graphical representation of amplitude ratios is presented and the impact of micropolarity and diffusive property of the medium...
The propagation of Rayleigh-Lamb waves in a micropolar generalized thermoelastic plate coated with an inviscid fluid is investigated in the context of Lord and Shulman (L-S), Green and Lindsay (G-L) and Chandrasekhariah and Tzou (C-T) theories of thermoelasticity. The secular equations for the symmetric and skew-symmetric mode propagation are derived. The regions and short wavelength waves of secular...
The present investigation deals with the propagation of straight and circularly crested Lamb waves in a swelling porous elastic layer subjected to stress free boundary. A Helmholtz decomposition technique has been used to simplify the mathematical model. The secular equations for different mechanical situations are obtained. Numerical computations are performed to compute the symmetric and skew-symmetric...
The present investigation deals with the propagation of surface waves at an imperfect boundary between an isotropic elastic layer of finite thickness and a homogenous isotropic thermodiffusive elastic half- space with rotation in the context of generalized theory of thermoelastic diffusion. Lord and Shulman (L-S) theory in which thermal and thermo-mechanical relaxation time is governed by time constant...
The present investigation is concerned with axi-symmetric deformation in a fluid saturated incompressible porous medium whose surface is subject to loads that suddenly emanate from a point on the surface and expand radially at constant rate. The cases of loads shaped as a ring and disc are considered in detail. These loads are chosen so that they exert a constant force on the surface as they expand...
The purpose of this research is to study the surface wave propagation in a layer of an orthotropic porous material with rotation lying over an isotropic elastic half-space. The frequency equation is derived after developing the mathematical model. The dispersion curves giving the phase velocity and attenuation coefficient versus wave number are plotted graphically to depict the effects of rotation...
Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of phase velocity, attenuation coefficient...
The article reports on a methodology to synthesize the response of an inhomogeneous thermoelastic half space subjected to an instantaneous mechanical and thermal source. The Fourier transform is used to solve the problem. The transformed components of normal stress, tangential stress, displacement and temperature distribution are obtained. The effect of inhomogenity is depicted graphically on the...
A general solution to the field equations of a micropolar thermodiffusive elastic solid are obtained in the transformed form, using the Laplace and Fourier transform techniques. The deformation due to various sources has been investigated. As an application, concentrated and distributed sources are taken to show the utility of the approach. The transformed solutions are inverted using a numerical...
The present investigation is concerned with the following two problems. (i) Reflection and transmission of thermoelastic waves between two thermoelastic/ thermoelastic solids with two temperatures at an imperfect interface. The amplitude ratios of different reflected and transmitted waves are obtained and deduced for normal force stiffness, transverse force stiffness, thermal contact conductance and...
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