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Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory

  • Belbachir, Nasrine (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Bourada, Mohamed (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Draiche, Kada (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Bourada, Fouad (Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes) ;
  • Bousahla, Abdelmoumen Anis (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) ;
  • Mahmoud, S.R. (GRC Department, Jeddah Community College, King Abdulaziz University)
  • Received : 2019.04.18
  • Accepted : 2019.07.23
  • Published : 2020.04.25
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Abstract

This article deals with the flexural analysis of anti-symmetric cross-ply laminated plates under nonlinear thermal loading using a refined plate theory with four variables. In this theory, the undetermined integral terms are used and the number of variables is reduced to four, instead of five or more in other higher-order theories. The boundary conditions on the top and the bottom surfaces of the plate are satisfied; hence the use of the transverse shear correction factors is avoided. The principle of virtual work is used to obtain governing equations and boundary conditions. Navier solution for simply supported plates is used to derive analytical solutions. For the validation of the present theory, numerical results for displacements and stresses are compared with those of classical, first-order, higher-order and trigonometric shear theories reported in the literature.

Keywords

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  8. Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell vol.10, pp.2, 2020, https://doi.org/10.12989/anr.2021.10.2.175
  9. Vibration analysis of porous FGM plate resting on elastic foundations: Effect of the distribution shape of porosity vol.10, pp.1, 2020, https://doi.org/10.12989/csm.2021.10.1.061
  10. Elastic wave phenomenon of nanobeams including thickness stretching effect vol.10, pp.3, 2020, https://doi.org/10.12989/anr.2021.10.3.271
  11. Electromagnetic field and initial stress on a porothermoelastic medium vol.78, pp.1, 2021, https://doi.org/10.12989/sem.2021.78.1.001
  12. A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks vol.93, pp.4, 2020, https://doi.org/10.1108/aeat-01-2021-0012
  13. A five-variable refined plate theory for thermal buckling analysis of composite plates vol.3, pp.2, 2020, https://doi.org/10.12989/cme.2021.3.2.135
  14. Dynamic damage analysis of a ten-layer circular composite plate subjected to low-velocity impact vol.21, pp.3, 2020, https://doi.org/10.1007/s43452-021-00238-y
  15. Mathematical approach for the effect of the rotation, the magnetic field and the initial stress in the non-homogeneous an elastic hollow cylinder vol.79, pp.5, 2020, https://doi.org/10.12989/sem.2021.79.5.593