GraFar - Repository of the Faculty of Civil Engineering
Faculty of Civil Engineering of the University of Belgrade
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrillic)
    • Serbian (Latin)
  • Login
View Item 
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
  •   GraFar
  • GraFar
  • Radovi istraživača / Researcher's publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Von Karman Nonlinear Theory of Composite Plates

Thumbnail
2011
Grafar_Cetkovic_Vuksanovic_2011_K.pdf (4.610Mb)
Authors
Vuksanović, Đorđe
Ćetković, Marina
Conference object (Published version)
Metadata
Show full item record
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.
Keywords:
von Karman nonlinearity / Layerwise plate theory / Composite plates / Total Lagrange Formulation / Finite element / Newton Raphson's method / MATLAB program
Source:
Proceedings / 4th Serbian-Greek Symposium “Recent Advances in Mechanics", Serbia, 2011, 2011, 23-24
Publisher:
  • Serbian Society of Mechanics, Belgrade
Funding / projects:
  • Research on condition assessment and improvement methods of civil engineering structures in view of their serviceability, load-bearing capacity, cost effectiveness and maintenance (RS-36048)

ISBN: 978-86-909973-1-2

[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_1903
URI
https://grafar.grf.bg.ac.rs/handle/123456789/1903
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution/Community
GraFar
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 .

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB
 

 

All of DSpaceCommunitiesAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About the GraFar Repository | Send Feedback

OpenAIRERCUB