Finite Element Model of Imperfect Plate in Thermal Environment
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In this paper a finite element model for thermal buckling of imperfect plates using Layer Wise (LW) plate mode  is presented. The model assumes layerwise variation of in-plane displacements and constant transverse displacement through the thickness of the plate, non-linear strain-displacement relations (in von Karman sense) and linear thermo mechanical material properties. The Koiter model for imperfection is adopted. The Principle of virtual displacements (PVD) is used to derive the weak form of linearized buckling problem. The weak form is discretized using Lagrangian nine-node isoparametric finite element. The original MATLAB program is coded for finite element solution. The effects of imperfection amplitude, imperfection form and plate aspect ratio a/h on critical temperature are analyzed. The accuracy of the numerical model is verified by comparison with the available results from the literature.
Keywords:thermal buckling / imperfect plate / layerwise plate theory / finite element / MATLAB program
Source:Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019, 2019, 1-10
- Serbian Society of Mechanics, Belgrade, 2019