Imperfection sensitivity of plates on thermal environment
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In this paper a thermal buckling of imperfect plates using Layer Wise (LW) plate model  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. Principle of virtual displacements (PVD) is used to derive Euler-Lagrange differential equations of linearized buckling problem. Euler-Lagrange differential equations are then solved using Navier's analytical solution. The original MATLAB program is coded for analytical solution. The effects of imperfection amplitude, temperature distribution, side to thickness ratio b/a and aspect ratio b/h on critical temperature are analyzed. The accuracy of the numerical model is verified by comparison with the available results from the literature.
Source:Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017, 2017, 1-8
- Serbian Society of Mechanics ; Faculty of Mechanical Engineering, University of Belgrade,Belgrade, Belgrade