Premium
Nonlinear rotation‐free three‐node shell finite element formulation
Author(s) -
Stolarski Henryk,
Gilmanov Anvar,
Sotiropoulos Fotis
Publication year - 2013
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4517
Subject(s) - finite element method , nonlinear system , shell (structure) , benchmark (surveying) , degrees of freedom (physics and chemistry) , rotation (mathematics) , node (physics) , finite element limit analysis , mixed finite element method , element (criminal law) , mathematics , extended finite element method , mathematical analysis , geometry , engineering , structural engineering , physics , mechanical engineering , geodesy , quantum mechanics , political science , law , geography
SUMMARY A new triangular thin‐shell finite element formulation is presented, which employs only translational degrees of freedom. The formulation allows for large deformations, and it is based on the nonlinear Kirchhoff thin‐shell theory. A number of static and dynamic test problems are considered for which analytical or benchmark solutions exist. Comparisons between the predictions of the new model and these solutions show that the new model accurately reproduces complex nonlinear analytical solutions as well as solutions obtained using existing, more complex finite element formulations. Copyright © 2013 John Wiley & Sons, Ltd.