Finite Element Model of Imperfect Plate in Thermal Environment
Апстракт
In this paper a finite element model for thermal buckling of imperfect plates using Layer Wise (LW) plate mode [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. 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.
Кључне речи:
thermal buckling / imperfect plate / layerwise plate theory / finite element / MATLAB programИзвор:
Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019, 2019, 1-10Издавач:
- Serbian Society of Mechanics, Belgrade, 2019
Финансирање / пројекти:
- Истраживање стања и метода унапређења грађевинских конструкција са аспекта употребљивости, носивости, економичности и одржавања (RS-MESTD-Technological Development (TD or TR)-36048)
Колекције
Институција/група
GraFarTY - CONF AU - Ćetković, Marina PY - 2019 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1886 AB - In this paper a finite element model for thermal buckling of imperfect plates using Layer Wise (LW) plate mode [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. 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. PB - Serbian Society of Mechanics, Belgrade, 2019 C3 - Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019 T1 - Finite Element Model of Imperfect Plate in Thermal Environment EP - 10 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_grafar_1886 ER -
@conference{ author = "Ćetković, Marina", year = "2019", abstract = "In this paper a finite element model for thermal buckling of imperfect plates using Layer Wise (LW) plate mode [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. 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.", publisher = "Serbian Society of Mechanics, Belgrade, 2019", journal = "Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019", title = "Finite Element Model of Imperfect Plate in Thermal Environment", pages = "10-1", url = "https://hdl.handle.net/21.15107/rcub_grafar_1886" }
Ćetković, M.. (2019). Finite Element Model of Imperfect Plate in Thermal Environment. in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019 Serbian Society of Mechanics, Belgrade, 2019., 1-10. https://hdl.handle.net/21.15107/rcub_grafar_1886
Ćetković M. Finite Element Model of Imperfect Plate in Thermal Environment. in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019. 2019;:1-10. https://hdl.handle.net/21.15107/rcub_grafar_1886 .
Ćetković, Marina, "Finite Element Model of Imperfect Plate in Thermal Environment" in Proceedings / The 7th International Congress of Serbian Society of Mechanics, Sremski Karlovci, Serbia, June 24-26, 2019 (2019):1-10, https://hdl.handle.net/21.15107/rcub_grafar_1886 .