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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: GNIII model

Exact solution for a free vibration of thermoelastic hollow cylinder under GNIII model

2018-10-06 09:36:11 Keywords free vibration, Thermoelasticity, Exact solution, GNIII model,
Exact solution for a free vibration of thermoelastic hollow cylinder under GNIII model
The exact analytic solutions are obtained with the use of the eigenvalue approach for a free vibration problem of a thermoelastic hollow cylinder in the context of Green and Naghdi theory (GNIII). The dispersion relations for the existence of various types of possible modes of vibrations in the considered hollow cylinder are derived in a compact form and the validation ... Read more

Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model

2018-10-02 17:17:03 Keywords heat source, unbounded medium, Thermoelastic, GNIII model, moving heat source,
Thermoelastic interactions in an isotropic unbounded medium due to moving heat source using GNIII model
In this work, we study a problem of thermoelastic interaction due to moving heat source in an isotropic infinite medium under Green and Naghdi model of type III (GNIII). The form of vector-matrix differential equation in the Laplace transform domain, the basic equations have been written, which is then solved by an eigenvalue technique. The analytical solution in the Laplace ... Read more

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