Structural Engineering and Mechanics

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Generalized thermo-elastic interaction in a fiber-reinforced material with spherical holes

  • Hobiny, Aatef D. (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University) ;
  • Abbas, Ibrahim A. (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University)
  • Received : 2020.12.31
  • Accepted : 2021.02.25
  • Published : 2021.05.10
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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.

Keywords

Acknowledgement

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (G: 118-130-1441). The authors, therefore, acknowledge with thanks DSR for technical and financial support.

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