Geomechanics and Engineering

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2D and quasi 3D computational models for thermoelastic bending of FG beams on variable elastic foundation: Effect of the micromechanical models

  • Merzoug, Mostafa (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Bourada, Mohamed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Sekkal, Mohamed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Abir, Ali Chaibdra (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Chahrazed, Belmokhtar (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Benyoucef, Samir (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology) ;
  • Benachour, Abdelkader (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology)
  • Received : 2020.05.11
  • Accepted : 2020.07.23
  • Published : 2020.08.25
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Abstract

This paper is concerned with the thermoelastic bending of FG beams resting on two-layer elastic foundations. One of these layers is Winkler springs with a variable modulus while the other is considered as a shear layer with a constant modulus. The beams are considered simply supported and subjected to thermo-mechanical loading. Temperature-dependent material properties are considered for the FG beams, which are assumed to be graded continuously across the panel thickness. The used theories contain undetermined integral terms which lead to a reduction of unknowns functions. Several micromechanical models are used to estimate the effective two-phase FG material properties as a function of the particles' volume fraction considering thermal effects. Analytical solutions for the thermo-mechanical bending analysis are obtained based on Navier's method that satisfies the boundary conditions. Finally, the numerical results are provided to reveal the effect of explicit micromechanical models, geometric parameters, temperature distribution and elastic foundation parameters on the thermoelastic response of FG beams.

Keywords

Acknowledgement

Authors would like to acknowledge the support provided by the Directorate General for Scientific Research and Technological Development (DGRSDT).

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