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EN
The Green and Naghdi theory of thermoelasticity is employed to study the deformation of thermoelastic solid half-space under hydrostatic initial stresses, subjected to ramp-type heating and loading at the free surface. A linear temperature ramping function is used to more realistically model thermal loading of the half-space surface. The components of displacement, stress arid temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. These components are then obtained in the physical domain by applying a numerical inversion method. Numerical computations are carried out for a particular example of the model. The results are also presented graphically to show the effect of hydrostatic initial stress and ramping parameter in the medium.
EN
The present problem is concerned with the deformation of an orthotropic thermoelastic medium with hydrostatic initial stress, under the influence of mechanical/thermal source acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for the LORD-SHULMAN theory of thermoelasticity [1] when mechanical/thermal source is applied. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.
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tom Vol. 11, nr 1
129-157
EN
The analytic expressions for the displacements, microrotation, stresses and temperature distribution on the free surface of micropolar thermoelastic medium possessing cubic symmetry as a result of inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The Laplace and Fourier transforms have been employed to solve the problem. A special case of moving inclined load has been deduced by making the appropriate changes. The variations of the displacements, microrotation, stresses and temperature distribution with the horizontal distance have been shown graphically for both the problems.
EN
The analytic expressions for the displacements, microrotation, stresses and temperature distribution on the free surface of a micropolar thermoelastic medium possessing cubic symmetry as a result of time harmonic inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The Fourierer transform has been employed to solve the problem. The variations of the displacements, microrotation, stresses and temperature distribution with the horizontal distance have been shown graphically.
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The present investigation deals with the deformation of a micropolar thermoelastic medium with voids due to distributed mechanical thermal sources acting on the plane surface. The analytic expressions of displacement components, force stress, couple stress, change in volume fraction field and temperature distribution are obtained in the physical domain for Green-Lindsay (G-L) theory of thermoelasticity after applying the integrai transforms. These expressions are then inverted by using a numerical inversion method. The numerical results are presented graphically for a mechanical/ thermal uniformly distributed source. Some particular cases have also been deduced.
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The steady-state response of a micropolar cubic crystal due to a moving load has been studied. The eigen value approach using the Fourier transform has been employed and the transform has been inverted by using a numerical technique. The displacement and stress components in the physical domain are obtained numerically. The results of displacement and stresses have been compared for the micropolar cubic crystal and a micropolar isotropic solid. The numerical results are illustrated graphically for a particular model.
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Content available remote Deformations due to mechanical sources in elastic solid with voids
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EN
Void effects of a load applied normal to the boundary and moving at a constant velocity along one of the coordinate axis in an elastic half space is studied. The analytic expressions for displacement, force stress and volume fraction field for concentrated normal point force, uniformly distributed force, linearly distributed force and moving concentrated normal force are obtained by employing the eigen value approach after applying the integral transforms. A numerical inversion technique has been applied to obtain the solution in the physical domain. The numerical results are presented graphically. Some particular cases have been deduced.
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Content available remote Interaction due to mechanical sources in micropolar cubic crystal
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EN
The response of a micropolar cubic crystal due to various sources has been investigated. The eigen-value approach after applying Laplace and Fourier transforms has been employed to solve the problem. The integral transforms have been inverted by using a numerical technique to obtain the displacement, microrotation and stress components in the physical domain. The results of normal displacement, normal force stress and tangential couple stress have been compared for a micropolar cubic crystal and micropolar isotropic solid and illustrated graphically.
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Content available remote Moving load response at thermal conducting fluid and micropolar solid interface
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EN
The steady state response of a micropolar elastic solid with an overlying semi-infinite thermal conducting fluid subjected at the plane interface to a moving point load is determined. The analytic expressions of displacement components, force stress, couple stress and temperature distribution are obtained in the physical domain for Lord-Shulman (L-S), Green-Lindsay (G-L), coupled theory (C-T) and Green-Naghdi (G-N) theories of thermoelasticity by the use of Fourier transform technique and are shown graphically for magnesium crystal like material. The integral transform has been inverted by using a numerical technique.
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Content available remote Elastodynamics of Inclined Loads in a Micropolar Cubic Crystal
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EN
The analytic expressions for the displacement components, microrotation and stresses at any point in an infinite micropolar cubic crystal as a result of inclined load of arbitrary orientation have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The eigenvalue approach using Laplace and Fourier Transforms has been employed and the transforms has been inverted by using a numerical technique. The numerical results are illustrated graphically for a particular material.
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Content available remote Interactions due to inclined load at micropolar elastic half-space with voids
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EN
The analytic expressions for the displacements, microrotation, stresses and volume fraction field on the free surface of a micropolar elastic half-space with voids as a result of moving an inclined load have been obtained. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The problem has been solved by employing the Eigen-value approach after using the Fourier transform as the use of matrix notation avoids unwidely mathematical expressions. The technique used in the present paper is simple, straightforward and convenient for numerical computations. The variations of the displacements, stresses and volume fraction field with the horizontal distance have been shown graphically for a particular model. A special case has also been discussed.
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Content available remote Effects of viscosity with moving load at micropolar boundary surface
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EN
The steady state response at viscous fluid/micropolar elastic solid interface to a moving point load has been studied for subsonic, supersonic and transonic load velocities. The Fourier transform has been used to solve the problem. The displacement, microrotation and stress components for a micropolar elastic solid so obtained in the physical domain are computed numerically by using the numerical inversion technique. Viscosity and micropolarity effects on the resulting expressions have been presented graphically for a specific material.
EN
The purpose of this paper is to study the two dimensional deformation in a thermoelastic micropolar solid with cubic symmetry. A mechanical force is applied along the interface of a thermoelastic micropolar solid with cubic symmetry (Medium I) and a thermoelastic solid with microtemperatures (Medium II). The normal mode analysis has been applied to obtain the exact expressions for components of normal displacement, temperature distribution, normal force stress and tangential coupled stress for a thermoelastic micropolar solid with cubic symmetry. The effects of anisotropy, micropolarity and thermoelasticity on the above components have been depicted graphically.
EN
The purpose of this paper is to study the two dimensional deformation due to an internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the internal heat source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.
EN
The purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.
EN
In the present problem we study the deformation of a rotating generalized thermoelastic medium with hydrostatic initial stress subjected to three different type of sources. The components of displacement, force stress and temperature distribution are obtained in Laplace and Fourier domain by applying integral transforms. The general solution obtained is applied to a specific problem of a half-space subjected to concentrated force, distributed force and a moving source. These components are then obtained in the physical domain by applying a numerical inversion method. Some particular cases are also discussed in context of the problem. The results are also presented graphically to show the effect of rotation and hydrostatic initial stress.
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