Nonlinear Analysis of Laminated Composite Plates
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 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 programSource:
Proceedings / International Conference─Innovation as a Function of Engineering Development, Nis, 2011, 2011, 49-54Publisher:
- Faculty of Civil Engineering and Architecture, University of Niš
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GraFarTY - 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.
Ćetković Marina, Vuksanović Đorđe, "Nonlinear Analysis of Laminated Composite Plates" (2011):49-54