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1
Content available remote Interaction due to Hall Current and Rotation in a Modified Couple Stress Elastic Half-Space due to Ramp-type Loading
Kumar R., Devi S.
Computational Methods in Science and Technology
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2015
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Vol. 21, No. 4
229--240
EN
The present investigation is to focus on the effect of Hall current and rotation in a modified couple stress theory of elastic half space due to ramp-type loading in a homogeneous, isotropic, thermoelastic diffusive medium. The mathematical formulation is prepared for different theories of thermoelastic diffusion, including the Coriolis and centrifugal forces. The Laplace and Fourier transforms techniques are applied to obtain the solutions of the governing equations. The components of displacement, stresses, temperature change and mass concentration are obtained in the transformed domain. The numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of Hall current and rotation are shown on the resulting quantities. Some particular cases are also discussed in the present problem.
2
Content available remote Elastodynamic response of various sources in micropolar thermodiffusive elastic medium
Kumar R., Kaushal S., Miglani A.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 1
63-98
EN
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 inversion technique to invert the Laplace and Fourier transforms. The components of stress, temperature distribution and chemical potential distribution are obtained numerically and discussed graphically to depict the effects of micropolarity and diffusion.
3
Content available remote Deformation in a Generalized Thermoelastic Medium with Hydrostatic Initial Stress Subjected to Different Sources
Ailawalia P., Kumar S., Khurana G.
Mechanics and Mechanical Engineering
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2009
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Vol. 13, nr 1
5-24
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.
4
Effect of hydrostatic initial stress in Green-Naghdi (Type III) thermoelastic half-space subjected to ramp-type heating and loading
Ailawalia P.
Journal of Technical Physics
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2009
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Vol. 50, no 4
403-415
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.
5
Content available remote Magneto-mechanical interactions in micropolar elastic medium
Kumar R., Rupender
International Journal of Applied Mechanics and Engineering
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2008
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Vol. 13, no 2
399-413
EN
The present investigation is concerned with a two-dimensional problem in electromagnetic micropolar elasticity for a half-space whose surface is subjected to mechanical sources in the presence of a transverse magnetic field. As an application of the approach concentrated or uniformly distributed normal force has been taken. Laplace and Fourier transforms techniques are used to solve the problem. The numerical inversion technique has been used to obtain the components of displacement, microrotation, force stress and couple stress. Magnetic effects are shown in the resulting quantity graphically for a specific model. Some special cases of interest are also deduced from the present investigation.
6
Content available remote Disturbance due to inclined load in generalized thermoelastic medium with two temperatures
Kumar R., Kaushal S.
International Journal of Applied Mechanics and Engineering
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2008
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Vol. 13, no 3
695-706
EN
The present investigation is concerned with the deformation in a homogeneous, isotropic thermoelastic half-space with two temperatures as a result of an inclined load. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The integral transform technique is used to solve the problem. As an application of the approach concentrated and uniformly distributed loads have been considered. The transformed components of displacement, stress, conductive temperature and temperature distribution are inverted by using the numerical inversion technique. The effect of two temperatures and response of two generalized theories of thermoelasticity (Lord and Shulman (L-S), Green and Lindsay (G-L) theories) on the resulting quantities have been depicted graphically for a particular model. Some particular cases of interest have been deduced from the present investigation.
7
Content available remote Distributed loads in an elastic solid with generalized thermodiffusion
Choudhary S., Deswal S.
Archives of Mechanics
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2008
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Vol. 60, nr 2
139-160
EN
The linear theory of generalized thermoelastic diffusion with one relaxation time is employed to study the interactions in a homogeneous, isotropic elastic solid, when a distributed instantaneous source is acting on the free surface of the body. The eigenvalue approach is adopted for the solution of a two-dimensional problem. The Laplace-Fourier transform technique is used. The expansions of the stresses, displacement components, temperature, concentration and chemical potential are obtained analytically. Numerical results are given and illustrated graphically, employing numerical methods for the inversion for transforms. Comparisons are made with the results predicted by the theory of generalized thermoelasticity and elasticity.
8
Content available remote Inclined Load in Micropolar Thermoelastic Medium Possesing Cubic Symmetry with One Relaxation Time
Kumar R., Ailawalia P.
Mechanics and Mechanical Engineering
|
2007
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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.
9
Content available remote Interaction due to mechanical sources in micropolar cubic crystal
Kumar R., Ailawalia P.
International Journal of Applied Mechanics and Engineering
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2006
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Vol. 11, no 2
337-357
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.
10
Content available remote Elastodynamics of Inclined Loads in a Micropolar Cubic Crystal
Kumar R., Ailawalia P.
Mechanics and Mechanical Engineering
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2005
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Vol. 9, nr 2
57--75
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.
11
Content available remote Elastodynamic response of Mechanical and Thermal sources in Generalized Thermoelastic Half-space with Voids
Kumar R., Rani L.
Mechanics and Mechanical Engineering
|
2005
|
Vol. 9, nr 2
29--45
EN
The dynamic response of a homogeneous, isotropic, generalized thermoelastic half-space with voids subjected to normal, tangential force and thermal source is investigated. The displacements, stresses, temperature distribution and change in volume fraction field so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for magnesium crystal-like material are illustrated to depict voids effect in the Lord-Shulman (L-S) theory and Green-Lindsay (G-L) theory for an insulated boundary and temperature gradient boundary.
12
Content available remote Deformation due to inclined load in thermoelastic half-space with voids
Kumar R., Rani L.
Archives of Mechanics
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2005
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Vol. 57, nr 1
7-24
EN
The two-dimensional deformation of homogeneous, isotropic, thermoelastic half-space with voids as a result of inclined line load is investigated by applying the Laplace and Fourier transforms. The inclined load is assumed to be a linear combination of a normal load and a tangential load. The displacements, stresses, temperature distribution and change in volume fraction field so obtained in the physical domain are computed numerically. The variations of these quantities have been depicted graphically in the Lord-Shulman (L-S) theory and Green-Lindsay (G-L) theory for an insulated boundary.
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