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Structural Engineering and Mechanics Volume 76, Number 1, October10 2020 , pages 115-127 DOI: https://doi.org/10.12989/sem.2020.76.1.115 |
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An investigation of the thermodynamic effect on the response of FG beam on elastic foundation |
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Rabbab Bachir Bouiadjra, Attia Bachiri, Samir Benyoucef, Bouazza Fahsi and Fabrice Bernard
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| Abstract | ||
| This study presents an analytical approach to investigate the thermodynamic behavior of functionally graded beam resting on elastic foundations. The formulation is based on a refined deformation theory taking into consideration the stretching effect and the type of elastic foundation. The displacement field used in the present refined theory contains undetermined integral forms and involves only three unknowns to derive. The mechanical characteristics of the beam are assumed to be varied across the thickness according to a simple exponential law distribution. The beam is supposed simply supported and therefore the Navier solution is used to derive analytical solution. Verification examples demonstrate that the developed theory is very accurate in describing the response of FG beams subjected to thermodynamic loading. Numerical results are carried out to show the effects of the thermodynamic loading on the response of FG beams resting on elastic foundation. | ||
| Key Words | ||
| FGMs beams; Three-dimensional theory; undetermined integral forms; elastic foundation; thermodynamic effect | ||
| Address | ||
| Rabbab Bachir Bouiadjra, Attia Bachiri, Samir Benyoucef: 1Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Algeria Rabbab Bachir Bouiadjra: Department of Civil Engineering, University Mustapha Stambouli of Mascara, Algeria Bouazza Fahsi: Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria Fabrice Bernard: Laboratoire de Genie Civil et Genie Mecanique, INSA de Rennes, France | ||