Mohsen A. Fayik

Bio: Mohsen A. Fayik is an academic researcher from Alexandria University. The author has contributed to research in topics: Thermoelastic damping & Laplace transform. The author has an hindex of 7, co-authored 10 publications receiving 278 citations.

Fractional Order Theory of Thermoelastic Diffusion

Abstract: In this work, a new theory of thermodiffusion in elastic solids is derived using the methodology of fractional calculus. The theories of coupled thermoelastic diffusion and of generalized thermoelastic diffusion problem with one relaxation time follow as limit cases. A variational theorem is then obtained for the governing equations. Finally, a uniqueness and reciprocity theorems for these equations are derived.

Fractional order theory in thermoelastic solid with three-phase lag heat transfer

Abstract: In this work, the field equations of the linear theory of thermoelasticity have been constructed in the context of a new consideration of Fourier law of heat conduction with time-fractional order and three-phase lag. A uniqueness and reciprocity theorems are proved. One-dimensional application for a half-space of elastic material in the presence of heat sources has been solved using Laplace transform and state space techniques Ezzat (Canad J Phys Rev 86:1241–1250, 2008). According to the numerical results and its graphs, conclusion about the new theory has been established.

Fractional Fourier Law with Three-Phase Lag of Thermoelasticity.

Abstract: In this work, a new mathematical model of heat conduction for an isotropic generalized thermoelasticity with a three-phase lag is derived using the methodology of fractional calculus. Some theorems of generalized thermoelasticity follow as limited cases. This model is applied to thermoelastic interaction due to periodically varying heat source. Some comparisons are shown in the figures to estimate the effects of the fractional order parameter on all the studied fields.

Fractional ultrafast laser-induced magneto-thermoelastic behavior in perfect conducting metal films

Abstract: An ultrafast fractional magneto-thermoelasticity model utilizing the modified hyperbolic heat conduction model with fractional order is formulated to describe the thermoelastic behavior of a thin perfect conducting metal film irradiated by a femtosecond laser pulse. Some theorems of generalized thermoelasticity follow as limit cases. The temporal profile of the ultrafast laser was regarded as being non-Gaussian. An analytical–numerical technique based on the Laplace transform was used to solve the governing equations and the time histories of the temperature, displacement, stress, strain, and induced electric/magnetic fields in a gold film were analyzed. Some comparisons have been shown in figures to estimate the effects of some parameters on all the studied fields.

Fractional Ultrafast Laser–Induced Thermo-Elastic Behavior In Metal Films

Abstract: In this work, a new mathematical model of modification heat conduction for an isotropic generalized thermoelasticity is derived using the methodology of fractional calculus. Some theorems of generalized thermoelasticity follow as limit cases. An ultrafast fractional thermoelasticity model utilizing the modified hyperbolic heat conduction model and the generalized fractional thermoelastic theory was formulated to describe the thermoelastic behavior of a thin metal film irradiated by a femtosecond laser pulse. The temporal profile of the ultrafast laser was regarded as being non-Gaussian. An analytical–numerical technique based on the Laplace transform was used to solve the governing equations and the time histories of the temperature, displacement and stress in a gold film were analyzed. Some comparisons have been shown in figures to estimate the effects of the relaxation time and fractional order parameter α on all the studied fields.

About heat waves

Abstract: In 1982, the Belgian Pilots' Guild raised the question of what effect exposure to radar radiation--for example, that encountered in passing a pilot launch's radar--might have on the human body. Recapitulating investigations of this question, this article states that in 25 years of experience with radar, there have been no known incidents of pilots being affected by radar waves. In the future, however, involvement by some pilots with Vessel Traffic Service shore-based radar could affect pilots somewhat differently from limited exposure to pilot launch radar. Pilots who find themselves in new working conditions close to an emitting source should exercise care all times.

Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer

Abstract: A new nonlocal theory of generalized thermoelastic materials with voids based on Eringen’s nonlocal elasticity and Caputo fractional derivative is established. The one-dimensional form of the above...

A DPL model of photothermal interaction in a semiconductor material

Abstract: The generalized model for plasma, thermal, and elastic waves under dual phase lag model have been applied to determine the carrier density, the displacement, the temperature, and the stresses in a ...