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Structural Engineering and Mechanics
  Volume 78, Number 3, May10 2021 , pages 297-303
DOI: https://doi.org/10.12989/sem.2021.78.3.297
 


Generalized thermo-elastic interaction in a fiber-reinforced material with spherical holes
Aatef D. Hobiny and Ibrahim A. Abbas

 
Abstract
    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.
 
Key Words
    finite element method; fiber-reinforced medium; spherical cavity; thermal relaxation time
 
Address
Aatef D. Hobiny: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia
Ibrahim A. Abbas: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
 

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