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Imperfection sensitivity of plates on thermal environment

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Authors
Ćetković, Marina
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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
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URI
http://grafar.grf.bg.ac.rs/handle/123456789/1544
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution
GraFar
TY  - CONF
AU  - Ćetković, Marina
PY  - 2017
UR  - http://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
ER  - 
@conference{
author = "Ćetković, Marina",
year = "2017",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/1544",
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"
}
Ćetković M. Imperfection sensitivity of plates on thermal environment. Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017. 2017;:1-8
Ćetković, M. (2017). Imperfection sensitivity of plates on thermal environment.
Proceedings / The 6th International Congress of Serbian Society of Mechanics, Tara, June 19-21, 2017Serbian Society of Mechanics ; Faculty of Mechanical Engineering, University of Belgrade,Belgrade, Belgrade., 1-8.
Ćetković Marina, "Imperfection sensitivity of plates on thermal environment" (2017):1-8

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