Von Karman Nonlinear Theory of Composite Plates
Apstrakt
The von Karman plate theory is used to analyze geometrically nonlinear small strain, large deflection response of composite laminated plates. The 3D elasticity equations are reduced to 2D problem using kinematical assumptions based on layerwise displacement field of Reddy. With the assumed displacement field, nonlinear Green-Lagrange small strain large displacements relations and linear orthotropic material properties for each lamina the total Lagrangian formulation is used to derive the weak form of the problem. The weak form or nonlinear integral equilibrium equations are discretized using isoparametric finite element approximation. The obtained nonlinear incremental algebric equilibrium equations are solved using the Newton Raphson’s method. The originally coded MATLAB computer program for the finite element solution is used to investigate the effects of geometrical nonlinearity on displacement field of thick anisotropic laminated composite plate.
Ključne reči:
von Karman nonlinearity / Layerwise plate theory / Composite plates / Total Lagrange Formulation / Finite element / Newton Raphson's method / MATLAB programIzvor:
Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011, 2011, 23-24Izdavač:
- Serbian Society of Mechanics, Belgrade
Finansiranje / projekti:
- Istraživanje stanja i metoda unapređenja građevinskih konstrukcija sa aspekta upotrebljivosti, nosivosti, ekonomičnosti i održavanja (RS-MESTD-Technological Development (TD or TR)-36048)
Kolekcije
Institucija/grupa
GraFarTY - CONF AU - Vuksanović, Đorđe AU - Ćetković, Marina PY - 2011 UR - https://grafar.grf.bg.ac.rs/handle/123456789/1903 AB - The von Karman plate theory is used to analyze geometrically nonlinear small strain, large deflection response of composite laminated plates. The 3D elasticity equations are reduced to 2D problem using kinematical assumptions based on layerwise displacement field of Reddy. With the assumed displacement field, nonlinear Green-Lagrange small strain large displacements relations and linear orthotropic material properties for each lamina the total Lagrangian formulation is used to derive the weak form of the problem. The weak form or nonlinear integral equilibrium equations are discretized using isoparametric finite element approximation. The obtained nonlinear incremental algebric equilibrium equations are solved using the Newton Raphson’s method. The originally coded MATLAB computer program for the finite element solution is used to investigate the effects of geometrical nonlinearity on displacement field of thick anisotropic laminated composite plate. PB - Serbian Society of Mechanics, Belgrade C3 - Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011 T1 - Von Karman Nonlinear Theory of Composite Plates EP - 24 SP - 23 UR - https://hdl.handle.net/21.15107/rcub_grafar_1903 ER -
@conference{ author = "Vuksanović, Đorđe and Ćetković, Marina", year = "2011", abstract = "The von Karman plate theory is used to analyze geometrically nonlinear small strain, large deflection response of composite laminated plates. The 3D elasticity equations are reduced to 2D problem using kinematical assumptions based on layerwise displacement field of Reddy. With the assumed displacement field, nonlinear Green-Lagrange small strain large displacements relations and linear orthotropic material properties for each lamina the total Lagrangian formulation is used to derive the weak form of the problem. The weak form or nonlinear integral equilibrium equations are discretized using isoparametric finite element approximation. The obtained nonlinear incremental algebric equilibrium equations are solved using the Newton Raphson’s method. The originally coded MATLAB computer program for the finite element solution is used to investigate the effects of geometrical nonlinearity on displacement field of thick anisotropic laminated composite plate.", publisher = "Serbian Society of Mechanics, Belgrade", journal = "Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011", title = "Von Karman Nonlinear Theory of Composite Plates", pages = "24-23", url = "https://hdl.handle.net/21.15107/rcub_grafar_1903" }
Vuksanović, Đ.,& Ćetković, M.. (2011). Von Karman Nonlinear Theory of Composite Plates. in Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011 Serbian Society of Mechanics, Belgrade., 23-24. https://hdl.handle.net/21.15107/rcub_grafar_1903
Vuksanović Đ, Ćetković M. Von Karman Nonlinear Theory of Composite Plates. in Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011. 2011;:23-24. https://hdl.handle.net/21.15107/rcub_grafar_1903 .
Vuksanović, Đorđe, Ćetković, Marina, "Von Karman Nonlinear Theory of Composite Plates" in Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011 (2011):23-24, https://hdl.handle.net/21.15107/rcub_grafar_1903 .