Steel and Composite Structures

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Thermal buckling of nonlocal clamped exponentially graded plate according to a secant function based refined theory

  • Abdulrazzaq, Mohammed Abdulraoof (Al-Mustansiriah University) ;
  • Fenjan, Raad M. (Al-Mustansiriah University) ;
  • Ahmed, Ridha A. (Al-Mustansiriah University) ;
  • Faleh, Nadhim M. (Al-Mustansiriah University)
  • Received : 2019.10.17
  • Accepted : 2020.02.20
  • Published : 2020.04.10
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Abstract

In the present research, thermo-elastic buckling of small scale functionally graded material (FGM) nano-size plates with clamped edge conditions rested on an elastic substrate exposed to uniformly, linearly and non-linearly temperature distributions has been investigated employing a secant function based refined theory. Material properties of the FGM nano-size plate have exponential gradation across the plate thickness. Using Hamilton's rule and non-local elasticity of Eringen, the non-local governing equations have been stablished in the context of refined four-unknown plate theory and then solved via an analytical method which captures clamped boundary conditions. Buckling results are provided to show the effects of different thermal loadings, non-locality, gradient index, shear deformation, aspect and length-to-thickness ratios on critical buckling temperature of clamped exponential graded nano-size plates.

Keywords

Acknowledgement

The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq, for their support in the present work.

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