ibrabbas7

Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.

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Publications Which contain the keyword: spherical cavity


2018-10-13 22:34:41 Keywords semiconductor, Thermoelasticity, spherical cavity, DPL model,
A DPL model of photo-thermal interaction in an infinite semiconductor material containing a spherical hole
The dual phase lag (DPL) heat transfer model is applied to study the photo-thermal interaction in an infinite semiconductor medium containing a spherical hole. The inner surface of the cavity was traction free and loaded thermally by pulse heat flux. By using the eigenvalue approach methodology and Laplace’s transform, the physical variable solutions are obtained analytically. The numerical computations for ... Read more

Fractional Order Photo-Thermoelastic Interaction in a Semiconducting Media Containing a Spherical Cavity Subjected to Pulse Heat Flux
In the present study, the theory of generalized photo-thermoelasticity under fractional order derivative was used to investigate the coupled of thermal, plasma, and elastic waves on unbounded semiconductor medium with spherical hole during the photothermoelastic process. Without neglecting the coupling between the thermoelastic and plasma waves that photo-generated through intensity modulated laser beam and tightly focused, a semiconducting isotropic elastic ... Read more

Eigenvalue approach to fractional order thermoelasticity for an infinite body with a spherical cavity
In this article, we consider the problem of a thermoelastic infinite body with a spherical cavity in the context of the theory of fractional order thermoelasticity. The inner surface of the cavity is taken traction free and subjected to a thermal shock. The form of a vector–matrix differential equation has been considered for the governing equations in the Laplace transform ... Read more

Eigenvalue approach on fractional order theory of thermoelastic diffusion problem for an infinite elastic medium with a spherical cavity
In this work, we study a problem in a fractional order theory of thermoelastic diffusion in an infinite medium with a spherical cavity at an elevated temperature field arising out of a ramp-type heating and loading bounding surface of the cavity. The chemical potential is assumed a known function of time on the bounding cavity. The form of vector–matrix differential ... Read more

A GN model based upon two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity
In this paper, a general solution to the field equations of two-temperature generalized thermoelastic theory in an unbounded medium with a spherical cavity has been obtained in the context of Green and Naghdi model. The eigenvalue approach is adopted for the solution of application for unbounded medium with a spherical cavity. The medium is assumed to be initially quiescent. The ... Read more