In this paper the geometrically nonlinear laminated finite element model is developed using the principle of virtual displacements (PVD). The 3D elasticity equations are reduced to 2D problem using kinematical assumptions based on assumed 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 PVD is used to obtain the weak form of the problem. The weak form or nonlinear integral equilibrium equations are discretized using isoparametric finite element approximation. The nonlinear incremental algebric equilibrium equations are solved using the direct iteration procedure. The original MATLAB computer program is coded for finite element solution and is used to investigate the geometrical nonlinear effects on displacements of anisotropic laminated composite plates. The accuracy of the numerical model is verified by comparison with results f...rom the literature and the linear solutions from the previous paper [Vuksanovic 2000, Ćetković et al. 2009]. Appropriate conclusions are derived.
Keywords:
Geometrically nonlinear analysis / Layerwise plate theory / Finite element / MATLAB program
Source:
Proceedings / International Conference─Innovation as a Function of Engineering Development, Nis, 2011, 2011, 49-54
Publisher:
Faculty of Civil Engineering and Architecture, University of Niš
TY - CONF
AU - Ćetković, Marina
AU - Vuksanović, Đorđe
PY - 2011
UR - http://grafar.grf.bg.ac.rs/handle/123456789/1905
AB - In this paper the geometrically nonlinear laminated finite element model is developed using the principle of virtual displacements (PVD). The 3D elasticity equations are reduced to 2D problem using kinematical assumptions based on assumed 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 PVD is used to obtain the weak form of the problem. The weak form or nonlinear integral equilibrium equations are discretized using isoparametric finite element approximation. The nonlinear incremental algebric equilibrium equations are solved using the direct iteration procedure. The original MATLAB computer program is coded for finite element solution and is used to investigate the geometrical nonlinear effects on displacements of anisotropic laminated composite plates. The accuracy of the numerical model is verified by comparison with results from the literature and the linear solutions from the previous paper [Vuksanovic 2000, Ćetković et al. 2009]. Appropriate conclusions are derived.
PB - Faculty of Civil Engineering and Architecture, University of Niš
C3 - Proceedings / International Conference─Innovation as a Function of Engineering Development, Nis, 2011
T1 - Nonlinear Analysis of Laminated Composite Plates
EP - 54
SP - 49
ER -
@conference{
author = "Ćetković, Marina and Vuksanović, Đorđe",
year = "2011",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/1905",
abstract = "In this paper the geometrically nonlinear laminated finite element model is developed using the principle of virtual displacements (PVD). The 3D elasticity equations are reduced to 2D problem using kinematical assumptions based on assumed 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 PVD is used to obtain the weak form of the problem. The weak form or nonlinear integral equilibrium equations are discretized using isoparametric finite element approximation. The nonlinear incremental algebric equilibrium equations are solved using the direct iteration procedure. The original MATLAB computer program is coded for finite element solution and is used to investigate the geometrical nonlinear effects on displacements of anisotropic laminated composite plates. The accuracy of the numerical model is verified by comparison with results from the literature and the linear solutions from the previous paper [Vuksanovic 2000, Ćetković et al. 2009]. Appropriate conclusions are derived.",
publisher = "Faculty of Civil Engineering and Architecture, University of Niš",
journal = "Proceedings / International Conference─Innovation as a Function of Engineering Development, Nis, 2011",
title = "Nonlinear Analysis of Laminated Composite Plates",
pages = "54-49"
}
Ćetković M, Vuksanović Đ. Nonlinear Analysis of Laminated Composite Plates. Proceedings / International Conference─Innovation as a Function of Engineering Development, Nis, 2011. 2011;:49-54
Ćetković, M.,& Vuksanović, Đ. (2011). Nonlinear Analysis of Laminated Composite Plates.
Proceedings / International Conference─Innovation as a Function of Engineering Development, Nis, 2011Faculty of Civil Engineering and Architecture, University of Niš., 49-54.
