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.
Keywords:
von Karman nonlinearity / Layerwise plate theory / Composite plates / Total Lagrange Formulation / Finite element / Newton Raphson's method / MATLAB program
TY - 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 .
