The surface stress effects on the buckling analysis of porous microcomposite annular sandwich plate based on HSDT using Ritz method

  • Mohsen Emdadi (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Mehdi Mohammadimehr (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Borhan Rousta Navi (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
  • Received : 2020.03.04
  • Accepted : 2022.07.23
  • Published : 2023.11.25


In this article, the surface stress effects on the buckling analysis of the annular sandwich plate is developed. The proposed plate is composed of two face layers made of carbon nanotubes (CNT) reinforced composite with assuming of fully bonded to functionally graded porous core. The generalized rule of the mixture is employed to predict the mechanical properties of the microcomposite sandwich plate. The derived potentials energy based on higher order shear deformation theory (HSDT) and modified couple stress theory (MCST) is solved by employing the Ritz method. An exact analytical solution is presented to calculate the critical buckling loads of the annular sandwich plate. The predicted results are validated by carrying out the comparison studies for the buckling analysis of annular plates with those obtained by other analytical and finite element methods. The effects of various parameters such as material length scale parameter, core thickness to total thickness ratio (hc/h), surface elastic constants based on surface stress effect, various boundary condition and porosity distributions, size of the internal pores (e0), Skempton coefficient and elastic foundation on the critical buckling load have been studied. The results can be served as benchmark data for future works and also in the design of materials science, injunction high-pressure micropipe connections, nanotechnology, and smart systems.



The authors would like to thank the reviewers for their valuable comments and suggestions to improve the clarity of this work, and also they are thankful to the Iranian Nanotechnology Development Committee for their financial support and the University of Kashan for supporting this work by Grant No. 682561/25.


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