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Generalized thermo-elastic interaction in a fiber-reinforced material with spherical holes
Aatef D. Hobiny,Ibrahim A. Abbas 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.78 No.3
In this paper, a mathematical model is used to the evaluation of thermoelastic interactions in fiber-reinforced material with a spherical cavity. With the goal of establishing the generalized thermoelastic model with thermal relaxation time are exploited. inner surface of the spherical cavity is tractions free and loaded by the uniform step in temperature. The finite element scheme is used to get the problem numerical solutions. The numerical results have been discussed graphically to show the impacts of the presence and the absence of reinforcement.
Analytical solutions of the temperature increment in skin tissues caused by moving heating sources
Aatef D. Hobiny,Ibrahim A. Abbas 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.40 No.4
In this paper, mathematical bioheat transfer model in skin tissues in the bounded domain due to moving heat source are considered. The thermal damage to the tissues is totally evaluated by the denatured protein ranges by the Arrhenius formulation. The temporal complete solutions in Laplace time domain obtained by using the inversion scheme of the Laplace transform, to obtain the general solution (exact solution) for the increment of temperature. The numerical result of temperature and the thermal injurie are graphically demonstrated. In conclusions, parametric analysis are devoted to the identifications of appropriates procedures for choosing serious designs variables to reach the effectives thermal in hyperthermias treatments.
A GN model of thermoelastic interaction in a 2D orthotropic material due to pulse heat flux
Aatef Hobiny,Ibrahim A. Abbas 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.80 No.6
A GN model with and without energy dissipations is used to discuss the waves propagation in a two-dimension orthotropic half space by the eigenvalues approach. Using the Laplace-Fourier integral transforms to get the solutions of the problem analytically, the basic formulations of the two-dimension problem are given by matrices-vectors differential forms, which are then solved by the eigenvalues scheme. Numerical techniques are used for the inversion processes of the Laplace- Fourier transform. The results for physical quantities are represented graphically. The numerical outcomes show that the characteristic time of pulse heat flux have great impacts on the studied fields values.
Aatef D. Hobiny,Ibrahim A. Abbas,C Alaa A. El-Bary 국제구조공학회 2023 Steel and Composite Structures, An International J Vol.48 No.6
In this article, we explore the issue concerning semiconductors half-space comprised of materials with varying thermal conductivity. The problem is within the framework of the generalized thermoelastic model under one thermal relaxation time. The half-boundary space's plane is considered to be traction free and is subjected to a thermal shock. The material is supposed to have a temperature-dependent thermal conductivity. The numerical solutions to the problem are achieved using the finite element approach. To find the analytical solution to the linear problem, the eigenvalue approach is used with the Laplace transform. Neglecting the new parameter allows for comparisons between numerical findings and analytical solutions. This facilitates an examination of the physical quantities in the numerical solutions, ensuring the accuracy of the proposed approach.