Prof. Dr. Ibrahim A. Abbas

Professor - Department of Mathematics

Faculty of science

Address: Sohag University, Egypt.



Publications Which contain the keyword: Green and Naghdi Model

Free Vibrations of Nanoscale Beam Under Two-Temperature Green and Naghdi Model
The influence of the coupling between strain rate and temperature becomes domineering in the nanoscale beam. In this work, the free vibration of nanoscale beam resonators is analysed using Green and Naghdi's theorem under the two-temperature model (2TGNIII). The influence of two-temperature parameters in a nanoscale beam is studied for beams under simply supported conditions. Exact expressions for frequency shift ... Read more

A Green and Naghdi Model in a Two-Dimensional Thermoelastic Diffusion Problem for a Half Space
The present investigation is concerned with the wave propagation of generalized thermoelastic diffusion on a half space with energy dissipation. The surface of the half-space is taken to be traction free and a thermal shock applied on the surface. The problem has been solved numerically using a finite element method. The expressions for displacement components, stresses, temperature, concentration and chemical ... Read more