An extension of Carrera unified formulation in polar coordinates for mechanical and thermal buckling analysis of axisymmetric FG circular plate using FEM

The main goal of this article is to extend the Carrera unified formulation (CUF) in polar coordinates to analyze the mechanical and thermal buckling of functionally graded (FG) circular plates with axisymmetry. The governing equations are derived using CUF in polar coordinates for FEM. The fundament...

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Bibliographic Details
Published inMechanics of advanced materials and structures Vol. 31; no. 8; pp. 1803 - 1811
Main Authors Farrokh, Mojtaba, Mousavi Fard, Houra S.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 17.04.2024
Taylor & Francis Ltd
Subjects
axisymmetric
buckling
Circular plates
CUF
Finite element method
Functionally gradient materials
mechanical
Polar coordinates
thermal
Thermal buckling
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Summary:The main goal of this article is to extend the Carrera unified formulation (CUF) in polar coordinates to analyze the mechanical and thermal buckling of functionally graded (FG) circular plates with axisymmetry. The governing equations are derived using CUF in polar coordinates for FEM. The fundamental nuclei, and accordingly, the elemental matrices for a 3-node line axisymmetric element are proposed. Mechanical and thermal buckling under uniform, nonlinear temperature rise with and without the effect of convection has been investigated. The results have been verified with several plate theories and the finite element method using the second-order axisymmetric 2D elements.
ISSN:1537-6494
1537-6532
DOI:10.1080/15376494.2022.2142885