Leena Rani | M.S.Ramaiah Institute of Technology (original) (raw)

Papers by Leena Rani

Research paper thumbnail of Response of Generalized Thermoelastic Half-space with Voids to Mechanical and Thermal sources

Meccanica, 2004

The dynamic response of a homogeneous, isotropic, generalized thermoelastic half-space with voids... more 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 the response of various sources in the Lord–Shulman (L–S) theory and Green–Lindsay (G–L) theory for an insulated boundary and temperature gradient boundary. Some particular cases have been deduced.

Research paper thumbnail of Deformation due to mechanical and thermal sources in generalised orthorhombic thermoelastic material

Sadhana-academy Proceedings in Engineering Sciences, 2004

A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the di... more A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermally conducting orthorhombic material. Laplace-Fourier transforms are applied to basic equations to form a vector matrix differential equation, which is then solved by eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for zinc crystal-like material are illustrated to compare the results for different theories of generalised thermoelasticity for an insulated boundary and a temperature gradient boundary.

Research paper thumbnail of Deformation due to inclined load in thermoelastic half-space with voids

... Key words: thermoelastic, concentrated force, uniformly and linearly distributed forces, gene... more ... Key words: thermoelastic, concentrated force, uniformly and linearly distributed forces, generalizedthermoelasticity, voids, inclined ... This theory is concerned with elastic materials having a distribution of small pores (voids) in which the void volume is included among the ...

Research paper thumbnail of Deformation due to Mechanical and Thermal Sources in a Thermoelastic Body with Voids under Axisymmetric Distributions

International Journal of Thermophysics, 2007

The Laplace and Hankel transforms have been employed to find the general solution of a homogeneou... more The Laplace and Hankel transforms have been employed to find the general solution of a homogeneous, isotropic, thermoelastic half-space with voids for a plane axi-symmetric problem. The application of a thermoelastic half-space with voids subjected to a normal force and a thermal source acting at the origin has been considered to show the utility of the solution obtained. To obtain the solution in a physical form, a numerical inversion technique has been applied. The results in the form of displacements, stresses, temperature distribution, and change in volume fraction field are computed numerically and illustrated graphically for a magnesium crystal-like material to depict the effects of voids in the theory of coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) for an insulated boundary and a temperature gradient boundary.

Research paper thumbnail of DEFORMATION DUE TO MECHANICAL AND THERMAL SOURCES IN GENERALIZED THERMOELASTIC HALF-SPACE WITH VOIDS

Journal of Thermal Stresses, 2005

A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the di... more A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermally conducting orthorhombic material. Laplace-Fourier transforms are applied to basic equations to form a vector matrix differential equation, which is then solved by eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for zinc crystal-like material are illustrated to compare the results for different theories of generalised thermoelasticity for an insulated boundary and a temperature gradient boundary.

Research paper thumbnail of Response of Generalized Thermoelastic Half-space with Voids to Mechanical and Thermal sources

Meccanica, 2004

The dynamic response of a homogeneous, isotropic, generalized thermoelastic half-space with voids... more 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 the response of various sources in the Lord–Shulman (L–S) theory and Green–Lindsay (G–L) theory for an insulated boundary and temperature gradient boundary. Some particular cases have been deduced.

Research paper thumbnail of Deformation due to mechanical and thermal sources in generalised orthorhombic thermoelastic material

Sadhana-academy Proceedings in Engineering Sciences, 2004

A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the di... more A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermally conducting orthorhombic material. Laplace-Fourier transforms are applied to basic equations to form a vector matrix differential equation, which is then solved by eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for zinc crystal-like material are illustrated to compare the results for different theories of generalised thermoelasticity for an insulated boundary and a temperature gradient boundary.

Research paper thumbnail of Deformation due to inclined load in thermoelastic half-space with voids

... Key words: thermoelastic, concentrated force, uniformly and linearly distributed forces, gene... more ... Key words: thermoelastic, concentrated force, uniformly and linearly distributed forces, generalizedthermoelasticity, voids, inclined ... This theory is concerned with elastic materials having a distribution of small pores (voids) in which the void volume is included among the ...

Research paper thumbnail of Deformation due to Mechanical and Thermal Sources in a Thermoelastic Body with Voids under Axisymmetric Distributions

International Journal of Thermophysics, 2007

The Laplace and Hankel transforms have been employed to find the general solution of a homogeneou... more The Laplace and Hankel transforms have been employed to find the general solution of a homogeneous, isotropic, thermoelastic half-space with voids for a plane axi-symmetric problem. The application of a thermoelastic half-space with voids subjected to a normal force and a thermal source acting at the origin has been considered to show the utility of the solution obtained. To obtain the solution in a physical form, a numerical inversion technique has been applied. The results in the form of displacements, stresses, temperature distribution, and change in volume fraction field are computed numerically and illustrated graphically for a magnesium crystal-like material to depict the effects of voids in the theory of coupled thermoelasticity (CT) and uncoupled thermoelasticity (UCT) for an insulated boundary and a temperature gradient boundary.

Research paper thumbnail of DEFORMATION DUE TO MECHANICAL AND THERMAL SOURCES IN GENERALIZED THERMOELASTIC HALF-SPACE WITH VOIDS

Journal of Thermal Stresses, 2005

A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the di... more A dynamical two-dimensional problem of thermoelasticity has been considered to investigate the disturbance due to mechanical (horizontal or vertical) and thermal source in a homogeneous, thermally conducting orthorhombic material. Laplace-Fourier transforms are applied to basic equations to form a vector matrix differential equation, which is then solved by eigenvalue approach. The displacements, stresses and temperature distribution so obtained in the physical domain are computed numerically and illustrated graphically. The numerical results of these quantities for zinc crystal-like material are illustrated to compare the results for different theories of generalised thermoelasticity for an insulated boundary and a temperature gradient boundary.