Numerical solution to a nonlinear, one-dimensional problem of anisotropic thermoelasticity with volume force and heat supply in a half-space: interaction of displacements

2014 ◽  
Vol 85 (4) ◽  
pp. 433-454 ◽  
Author(s):  
W. Mahmoud ◽  
A. F. Ghaleb ◽  
E. K. Rawy ◽  
H. A. Z. Hassan ◽  
A. A. Mosharafa
Keyword(s):  
Numerical Solution ◽  
Half Space ◽  
Heat Supply ◽  
Dimensional Problem ◽  
Volume Force ◽  
One Dimensional

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space

2014 ◽  
Vol 84 (9-11) ◽  
pp. 1501-1515 ◽  
Author(s):  
W. Mahmoud ◽  
A. F. Ghaleb ◽  
E. K. Rawy ◽  
H. A. Z. Hassan ◽  
A. A. Mosharafa
Keyword(s):  
Numerical Solution ◽  
Half Space ◽  
Heat Supply ◽  
Dimensional Problem ◽  
Volume Force ◽  
One Dimensional

scholarly journals Numerical Solution to a One-Dimensional, Nonlinear Problem of Thermoelasticity with Volume Force and Heat Supply in a Slab

2015 ◽  
Vol 20 (2) ◽  
pp. 60
Author(s):  
Wael M. Mohamed ◽  
Ahmed F. Ghaleb ◽  
Enaam K. Rawy ◽  
Hassan A.Z. Hassan ◽  
Adel A. Mosharafa
Keyword(s):  
Numerical Solution ◽  
Heat Supply ◽  
Nonlinear Boundary ◽  
Large Time ◽  
The Body ◽  
Zero Temperature ◽  
Volume Force ◽  
One Dimensional ◽  
Bulk Heating ◽  
Thermoelastic Waves

A numerical solution is presented for a one-dimensional, nonlinear boundary-value problem of thermoelasticity with variable volume force and heat supply in a slab. One surface of the body is subjected to a given periodic displacement and Robin thermal condition, while the other is kept fixed and at zero temperature. Other conditions may be equally treated as well. The volume force and bulk heating simulate the effect of a beam of hot particles infiltrating the medium. The present study is a continuation of previous work by the same authors for the half-space [1]. The presented Figures display the process of propagation and reflection of the coupled nonlinear thermoelastic waves in the slab. They also show the effects of volume force and heat supply on the distributions of the mechanical displacements and temperature inside the medium. The propagation of beats provides evidence for sufficiently large time values.  

scholarly journals Interactions due to Moving Heat Sources in Generalized Thermoelastic Half-Space using L-S Model

2013 ◽  
Vol 18 (3) ◽  
pp. 815-831 ◽  
Author(s):  
N. Sarkar ◽  
A. Lahiri
Keyword(s):  
Half Space ◽  
Heat Sources ◽  
Dimensional Problem ◽  
Eigenvalue Approach ◽  
One Dimensional ◽  
Coupled Equations ◽  
The Laplace Transform ◽  
Moving Plane ◽  
Generalized Thermoelastic ◽  
S Model

Abstract A one-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a moving plane of heat source on the boundary of the space, which is traction free, is considered in the context of Lord- Shulaman model (L-S model) of thermoelasticity. The Laplace transform and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the temperature, thermal stress, and displacement distributions are represented graphically and discussed

Numerical solution of the forward one-dimensional problem of critical flow in nozzles

1981 ◽  
Vol 40 (3) ◽  
pp. 260-263
Author(s):  
V. V. Nevinskii ◽  
V. I. Rozenblyum ◽  
M. I. Savel'ev
Keyword(s):  
Numerical Solution ◽  
Critical Flow ◽  
Dimensional Problem ◽  
One Dimensional

scholarly journals A Study on Fractional Order Thermoelastic Half Space

2020 ◽  
Vol 25 (4) ◽  
pp. 191-202
Author(s):  
Sourov Roy ◽  
Abhijit Lahiri
Keyword(s):  
Half Space ◽  
Fractional Order ◽  
Equations Of Motion ◽  
Generalized Thermoelasticity ◽  
Dimensional Problem ◽  
Governing Equations ◽  
One Dimensional ◽  
Closed Form Solutions ◽  
Eigen Value ◽  
The Laplace Transform

AbstractIn this paper, we consider a one dimensional problem on a fractional order generalized thermoelasticity in half space subjected to an instantaneous heat source. The Laplace transform as well as eigen value approach techniques are applied to solve the governing equations of motion and heat conduction. Closed form solutions for displacement, temperature and stress are obtained and presented graphically.

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