ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

226

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Publications Which contain the keyword: relaxation time


Analytical solutions of thermoelastic interactions in a hollow cylinder with one relaxation time
In this study, we aim to compare the optimal homotopy analysis solution with the exact solution of the thermoelastic interactions problem in an isotropic hollow cylinder. The thermoelastic interactions in a hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman’s theory) are considered. An application of a hollow cylinder is investigated ... Read more

2018-10-02 21:13:49 Keywords Thermoelasticity, three dimensional, relaxation time,
Deformation in three dimensional thermoelastic medium with one relaxation time
The present investigation concerned with deformation in three dimensional thermoelastic medium due to thermal source by finite element method. A particular type of thermal source has been taken to illustrate the utility of the approach. The components of displacement, stress and temperatutre change are obtained and depicted graphically for a specific model. Read more

Analytical-Numerical solution of thermoelastic interactions in a semi-infinite medium with one relaxation time
Analytical and numerical solutions are two basic tools in the study of thermoelastic interactions problems in anisotropic media. This paper is devoted to a study of the thermoelastic interactions in a semi-infinite medium in the context of the theory of generalized thermoelasticity with one relaxation time (Lord and Shulman's theory). The governing equations are expressed in Laplace transform domain and ... Read more

2018-10-02 17:01:49 Keywords Thermoelastic, relaxation time, free vibration,
Free vibration of a thermoelastic hollow cylinder with one relaxation time
The aim of this paper is to study the free vibration problem of a thermoelastic hollow cylinder in the context of the Lord and Shulman theory with one relaxation time. The eigenvalue approach is used to get the analytical solutions. The dispersion relations for the existence of various types of possible modes of vibrations are obtained. The validation of the ... Read more