GraFar - Repository of the Faculty of Civil Engineering
Faculty of Civil Engineering of the University of Belgrade
    • English
    • Српски
    • Српски (Serbia)
  • English 
    • English
    • Serbian (Cyrilic)
    • 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.

Multilayer Plate Finite Element

Konačni element višeslojne laminatne ploče

Thumbnail
2009
Grafar_Cetkovic_1_M.pdf (13.59Mb)
Authors
Vuksanović, Đorđe
Ćetković, Marina
Book part (Published version)
Metadata
Show full item record
Abstract
Under the manufacturing and service conditions, laminated composites are exposed to various damage modes, on the local or ply level. As 2D plate models are capable only to determine global behaviour of laminated composites, new familly of theories based on 3D kinematics is formulated. Wishing to develop model that will be computationally more efficient than conventional 3D elasticity model, and to include specific anizotropic plate costitution, Reddy formulated Generalized Laminated Plate Theory (GLPT). Within the mentioned theory, displacement field is defined at ply level, in the form which allow independent in plane and through the thickness interpolation. This seems to be the most significant in finite element formulation, to be presented in this paper. Namely, the in-plane 2D mesh and the transverse 1D mesh can be refined independently, without having to reconstruct a 3D finite element mesh. Basic element equations are derived using displacement-based finite element formulatio...n, in the case of statically loaded generally laminated plate. The obtained results have shown excellent agreement with closed form solution of GLPT.

U uslovima proizvodnje i eksploatacije kompozitni materijali su izloženi različitim oblicima oštećenja do kojih dolazi na lokalnom nivou, odnosno na nivou sloja. Kako su 2D modeli ploča u stanju da pruže samo odgovor na globalno ponašanje kompozitnih materijala, formulisana je nova grupa teorija zasnovana na 3D kinematici deformacije poprečnog preseka. Sa željom da smanji veliki računski obim posla, koji to zahteva uobičajeni 3D model teorije elastičnosti, ali i da u obzir uzmu specifičnosti anizotropne građe same ploče, Reddy je formulisao Opštu laminatnu teoriju ploča. U okviru pomenute teorije, polje pomeranja se pretpostavlja za svaki od slojeva po debljini, u obliku koji dopušta nezavisnu interpolaciju u ravni i po debljini ploče. Ovo se čini naročito značajnim pri formulisanju konačnog elementa, koji će biti i prikazan u ovom radu. Naime, 2D mreža u ravni i 1D mreža po debljini mogu se nezavisno progušćavati bez potrebe za definisanjem 3D mreže konačnih elemenata. Osnovne jedna...čine konačnog elementa formulisane su po metodi deformacije, za slučaj statički opterećene ploče proizvoljne šeme laminacije. Dobijena rešenja pokazala su izuzetno slaganje sa tačnim rešenjem opšte laminatne teorije ploča.

Keywords:
composite plates / layerwise plate theory / finite element / MATLAB program
Source:
Theory of Structures─Monograph dedicated to the memory of late Academician Professor dr Milan Đurić, 2009, 109-116
Publisher:
  • Faculty of Civil Engineering of the University of Belgrade─Chair for Technical Mechanics and Theory of structures
  • Građevinski fakultet Univerziteta u Beogradu─Katedra za Tehničku mehaniku i teoriju konstrukcija
Projects:
  • Contemporary problems of mechanics of deformable bodies/ IO 1749//RS

ISBN: 978-86-7518-074-6

[ Google Scholar ]
URI
http://grafar.grf.bg.ac.rs/handle/123456789/1873
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за техничку механику и теорију конструкција
Institution
GraFar

DSpace software copyright © 2002-2015  DuraSpace
About GraFar - Repository of the Faculty of Civil Engineering | Send Feedback

OpenAIRERCUB
 

 

All of DSpaceInstitutionsAuthorsTitlesSubjectsThis institutionAuthorsTitlesSubjects

Statistics

View Usage Statistics

DSpace software copyright © 2002-2015  DuraSpace
About GraFar - Repository of the Faculty of Civil Engineering | Send Feedback

OpenAIRERCUB