Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation

Ibrahimbegović, Adnan (author), Brank, Boštjan (author), Korelc, Jože (author)

We discuss a theoretical formulation of shell model accounting for through-the-thickness stretching, which allows for large deformations and direct use of 3d constitutive equations. Three different possibilities for implementing this model within the framework of the finite element method are examined: one leading to 7 nodal parameters and the remaining two to 6 nodal parameters. The 7-parameter shell model with no simplification of kinematic terms is compared to the 7-parameter shell model which exploits usual simplifications of the Green–Lagrange strains. Two different ways of implementing the incompatible mode method for reducing the number of parameters to 6 are presented. One implementation uses an additive decomposition of the strains and the other an additive decomposition of the deformation gradient. Several numerical examples are given to illustrate performance of the shell elements developed herein.

• Language: English
• Keywords: shells, finite elements, higher order models, incompatible models
• Typology: 1.06 - Published Scientific Conference Contribution (invited lecture)
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publisher: Elsevier
• Year: 2002
• Number of pages: Str. 33-62
• Numbering: 80
• PID: 20.500.12556/RUL-32200
• UDC: 624.074.4:519.63
• ISSN on article: 0045-7949
• COBISS.SI-ID: 1793889
• Publication date in RUL: 10.07.2015

IBRAHIMBEGOVIĆ, Adnan, BRANK, Boštjan and KORELC, Jože, 2002, Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation. In : Computational structures technology [online]. Published Scientific Conference Contribution (invited lecture). Elsevier. 2002. p. 33–62. [Accessed 17 May 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=32200

Record is a part of a journal

• Title: Computational structures technology
• Publisher: Saxe-Coburg
• COBISS.SI-ID: 1792609

Secondary language

• Language: English
• Keywords: lupine, končni elementi, modeli višjega reda, nekompatibilne oblike