In the present article, we apply the eigenvalue approach on the two-dimension problem of thermoelasticity in the context of the Green-Lindsay theory (G-L) with two relaxation times, coupled theory ...

Eigenvalue approach on a problem of magneto-thermoelastic rotating medium with variable thermal conductivity: comparisons of three theories

Finite Element Method to Study Elasto-Thermodiffusive Response inside a Hollow Cylinder with Three-Phase-Lag Effect

In the present article, we introduced a new model of the equations of generalized thermoelasticity for unbounded orthotropic body containing a cylindrical cavity. We applied this model in the context of generalized thermoelasticity with phase-lags under the effect of rotation. In this case, the thermal conductivity of the material is considered to be variable. In addition, the cylinder surface is traction free and subjected to a uniform unit step temperature. Using the Laplace transform technique, the distributions of the temperature, displacement, radial stress and hoop stress are determined. A detailed analysis of the effects of rotation, phase-lags and the variability thermal conductivity parameters on the studied fields is discussed. Numerical results for the studied fields are illustrated graphically in the presence and absence of rotation.

/pdf/thermoelastic-interactions-in-a-rotating-infinite-2v3y9t233c.pdf

Thermoelastic interactions in a rotating infinite orthotropic elastic body with a cylindrical hole and variable thermal conductivity

Interactions of magneto-micropolar thermoelastic rotating medium with memory-dependent derivative

Elastodynamic Responses of Magneto Micropolar Isotropic Media under the Gravitational Influence

Abstract In this study an eigen value approach has been employed to examine the mechanical force applied along with a transverse magnetic field in a two dimensional generalized magneto micropolar thermoelastic infinite space. Results have been obtained by treating rotational velocity to be invariant. Integral transforms have been applied to solve the system of partial differential equations. Components of displacement, normal stress, tangential couple stress, temperature distribution, electric field and magnetic field have been obtained in the transformed domain. Finally numerical inversion technique has been used to invert the result in the physical domain. Graphical analysis has been done to described the study.

/pdf/eigen-value-approach-to-two-dimensional-problem-in-3psf8unk1j.pdf

Eigen value approach to two dimensional problem in generalized magneto micropolar thermoelastic medium with rotation effect

Abstract A two dimensional Cartesian model of a generalized thermo-microstretch elastic solid subjected to impulsive force has been studied. The eigen value approach is employed after applying the Laplace and Fourier transforms on the field equations for L-S and G-L model of the plain strain problem. The integral transforms have been inverted into physical domain numerically and components of normal displacement, normal force stress, couple stress and microstress have been illustrated graphically.

/pdf/response-due-to-impulsive-force-in-generalized-1dsg4se0gy.pdf

Response Due To Impulsive Force In Generalized Thermomicrostretch Elastic Solid

Abstract The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a generalized thermo microstretch elastic medium for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations have been inverted by using a numerical inversion technique to obtain normal displacement, normal force stress, couple stress and microstress in the physical domain. Numerical results are shown graphically

V. Kumar

Papers

Eigen value approach to two dimensional problem in generalized magneto micropolar thermoelastic medium with rotation effect

Response Due To Impulsive Force In Generalized Thermomicrostretch Elastic Solid

Interaction Due to Mechanical Source in Generalized Thermo Microstretch Elastic Medium