Post-buckling analysis of FGM plates under in-plane mechanical compressive loading by using a mesh-free approximation

  • Vuong Nguyen Van Do
  • Kyong-Ho Chang
  • Chin-Hyung LeeEmail author


This study introduces an accurate and effective mesh-free approximation based on the radial point interpolation method (RPIM) to predict the post-buckling responses of FGM plates in mechanical edge compression. In the RPIM, a new radial basis function is presented in a compactly supported form to build the shape functions without any fitting parameters. The equilibrium and governing equations for the plate are derived by using the higher-order shear deformation theory in which a new hybrid type transverse shear function is incorporated in order to better represent the displacement fields. A von Kármán type nonlinear equation which accounts for both the geometric nonlinearity and the initial geometric imperfection is constructed. A solution procedure based on the total Lagrangian formulation to trace the post-buckling path, which utilizes the modified Newton–Raphson method, is designed. The numerical results illustrate the accuracy of the proposed meshless method for predicting the post-buckling behavior of FGM plates.


Post-buckling Geometric imperfection Higher-order shear deformation theory Mesh-free method Radial point interpolation 



This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 107.02-2018.28.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Vuong Nguyen Van Do
    • 1
  • Kyong-Ho Chang
    • 2
  • Chin-Hyung Lee
    • 3
    Email author
  1. 1.Applied Computational Civil and Structural Engineering Research Group, Faculty of Civil EngineeringTon Duc Thang UniversityHo Chi Minh CityVietnam
  2. 2.Department of Civil and Environmental and Plant EngineeringChung-Ang UniversitySeoulRepublic of Korea
  3. 3.The Graduate School of Construction EngineeringChung-Ang UniversitySeoulRepublic of Korea

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