Deformation due to various sources in a fibre-reinforced anisotropic generalized thermoelastic medium

2009 ◽  
Vol 87 (2) ◽  
pp. 179-187 ◽  
Author(s):  
Rajneesh Kumar ◽  
Raj Rani Gupta
Keyword(s):  
Fourier Transforms ◽  
Plane Surface ◽  
Thermal Relaxation ◽  
Numerical Inversion ◽  
Physical Domain ◽  
Thermoelastic Medium ◽  
Generalized Thermoelastic ◽  
Mechanical And Thermal Sources ◽  
Close Form ◽  
Thermal Sources

The present investigation is concerned with the deformation of a fibre-reinforced, anisotropic, generalized thermoelastic medium subjected to mechanical and thermal sources acting on the plane surface. Close-form solutions for stresses and temperature distribution are derived using Laplace transforms for time and Fourier transforms for space. As an application of the approach concentrated, uniformly distributed, and linearly distributed sources are taken. A numerical inversion technique is applied to obtain the solution in the physical domain. Effects of anisotropy and thermal relaxation are shown graphically on the resulting quantities.

Interaction due to Mechanical and Thermal Sources in Thermoelastic Half-Space with Voids

2005 ◽  
Vol 11 (4) ◽  
pp. 499-517 ◽  
Author(s):  
Rajneesh Kumar ◽  
Leena Rani
Keyword(s):  
Half Space ◽  
Normal Force ◽  
Volume Fraction ◽  
Thermal Source ◽  
Physical Domain ◽  
Coupled Thermoelasticity ◽  
Time Harmonic ◽  
The Fourier Transform ◽  
Mechanical And Thermal Sources ◽  
Thermal Sources

The dynamic response of a homogeneous, isotropic, thermoelastic half-space with voids subjected to time harmonic normal force and thermal source is investigated by applying the Fourier transform. The displacements, stresses, temperature distribution, and change in volume fraction field 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 voids effect for the theory of coupled thermoelasticity and uncoupled thermoelasticity for an insulated boundary and temperature gradient boundary.

Axi-symmetric deformation in the micropolar porous generalized thermoelastic medium

2010 ◽  
Vol 58 (1) ◽  
pp. 129-139 ◽  
Author(s):  
R. Kumar ◽  
R. Gupta
Keyword(s):  
Normal Force ◽  
Volume Fraction ◽  
Specific Model ◽  
Numerical Inversion ◽  
Thermal Source ◽  
Field Equations ◽  
Thermoelastic Medium ◽  
Symmetric Deformation ◽  
Generalized Thermoelastic ◽  
Thermoelastic Solid

Axi-symmetric deformation in the micropolar porous generalized thermoelastic mediumIn the present article we studied the thermodynamical theory of micropolar porous material and derived the equations of the linear theory of microploar porous generalized thermoelastic solid. Then the general solution to the field equations for plane axi-symmetric problem are obtained. The Laplace and Hankel transforms have been employed to study the problem, which are inverted numerically by using numerical inversion technique. An application of normal force and thermal source has been taken to show the utility of the approach. The technique developed in the present paper is simple, straightforward and convenient for numerical computation. Effect of micropolarity and porosity on the components of stress, temperature distribution and volume fraction field together with the effect of generalized theory of thermoelasticity have been depicted graphically for a specific model. Some particular cases are also deduced from the present problem.

scholarly journals Thermal Disturbances in Twinned Orthotropic Thermoelastic Material

2018 ◽  
Vol 23 (4) ◽  
pp. 897-910 ◽  
Author(s):  
L. Rani ◽  
V. Singh
Keyword(s):  
Fourier Transforms ◽  
Crystallographic Axis ◽  
Physical Domain ◽  
Matrix Differential Equation ◽  
Special Cases ◽  
Eigen Value ◽  
Basic Equations ◽  
Matrix Differential ◽  
Thermally Conducting ◽  
Vector Matrix

Abstract This paper deals with deformation in homogeneous, thermally conducting, single-crystal orthotropic twins, bounded symmetrically along a plane containing only one common crystallographic axis. The Fourier transforms technique is applied to basic equations to form a vector matrix differential equation, which is then solved by the eigen value approach. The solution obtained is applied to specific problems of an orthotropic twin crystal subjected to triangular loading. The components of displacement, stresses and temperature distribution so obtained in the physical domain are computed numerically. A numerical inversion technique has been used to obtain the components in the physical domain. Particular cases as quasi-static thermo-elastic and static thermoelastic as well as special cases are also discussed in the context of the problem.

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