## Imperfection sensitivity of plates on thermal environment

##### Abstract

In this paper a thermal buckling of imperfect plates using Layer Wise (LW) plate model [1] 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##### Publisher:

- Serbian Society of Mechanics ; Faculty of Mechanical Engineering, University of Belgrade,Belgrade, Belgrade

##### Collections

##### Institution/Community

GraFarTY - CONF AU - Ćetković, Marina PY - 2017 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1544 AB - In this paper a thermal buckling of imperfect plates using Layer Wise (LW) plate model [1] 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. PB - Serbian Society of Mechanics ; Faculty of Mechanical Engineering, University of Belgrade,Belgrade, Belgrade C3 - Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017 T1 - Imperfection sensitivity of plates on thermal environment EP - 8 SP - 1 UR - conv_4352 ER -

@conference{ author = "Ćetković, Marina", year = "2017", abstract = "In this paper a thermal buckling of imperfect plates using Layer Wise (LW) plate model [1] 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.", publisher = "Serbian Society of Mechanics ; Faculty of Mechanical Engineering, University of Belgrade,Belgrade, Belgrade", journal = "Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017", title = "Imperfection sensitivity of plates on thermal environment", pages = "8-1", url = "conv_4352" }

Ćetković, M.. (2017). Imperfection sensitivity of plates on thermal environment. in Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017 Serbian Society of Mechanics ; Faculty of Mechanical Engineering, University of Belgrade,Belgrade, Belgrade., 1-8. conv_4352

Ćetković M. Imperfection sensitivity of plates on thermal environment. in Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017. 2017;:1-8. conv_4352 .

Ćetković, Marina, "Imperfection sensitivity of plates on thermal environment" in Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017 (2017):1-8, conv_4352 .