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1
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.
2
Content available remote Inclined Load in Micropolar Thermoelastic Medium Possesing Cubic Symmetry with One Relaxation Time
Kumar R., Ailawalia P.
Mechanics and Mechanical Engineering
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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.
3
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.
4
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
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2005
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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.
5
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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