Author(s)

MohamedI A. Othman^1,2, Sarhan Y. Atwa³, Ahmed W. Elwan⁴

¹Department of Mathematics, Faculty of Science, ZagazigUniversity, Zagazig, Egypt.
²Department of Mathematics, Faculty of Science, Taif University, Taif City, Saudi Arabia.
³Department of Mathematics, Faculty of Science, Taif University, Taif City, Saudi Arabia.
⁴Department of Mathematics, Faculty of Science, King Khalid University, Abha, Saudi Arabia.

The purpose of this paper is to study the effect of rotation on the general three-dimensional model of the equations of the generalized thermoelasticity for a homogeneous isotropic elastic half-space solid. The problem is studied in the context of the Green-Naghdi theory of type II (without energy dissipation). The normal mode analysis is used to obtain the expressions for the temperature, thermal stress, strain and displacement. The distributions of variables considered are represented graphically.

Generalized Thermoelasticity, Three-Dimensional Modeling, Rotation, Normal Mode Method, Green-Naghdi Theory

Othman, M. , Atwa, S. and Elwan, A. (2015) Two and Three Dimensions of Generalized Thermoelastic Medium without Energy Dissipation under the Effect of Rotation. Applied Mathematics, 6, 793-805. doi: 10.4236/am.2015.65075.