Abstract
This paper presents a novel numerical model for investigating the post-buckling response of circular Functionally Graded (FG) microplates. The size-dependent effect, which is observed experimentally for small-scale structures, is captured based on the Modified Strain Gradient Theory (MSGT). The Third-order Shear Deformation Theory (TSDT) proposed by Reddy is used to represent the kinematic relations of the plates and capture the shear deformation effect, while effective material properties varing in the thickness direction of the plates follow the mixture rule. The governing equations of the post-buckling problems are derived by using the principle of virtual work and then are discretized following the framework of Isogeometric analysis (IGA) by using Non-Uniform Rational B-Splines (NURBS) basis function to satisfy the C2-continuity requirement. Various numerical examples are conducted to verify the accuracy of the proposed numerical model and study the effects of size parameters and material distributions on the post-buckling responses of circular microplates.
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