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Finite element analysis of linear and non‐linear planar deformations of elastic initially curved beams
Author(s) -
Ibrahimbegović Adnan,
Frey FrançOis
Publication year - 1993
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.1620361903
Subject(s) - finite element method , linear elasticity , beam (structure) , shear (geology) , planar , finite element limit analysis , element (criminal law) , mixed finite element method , structural engineering , extended finite element method , geometry , physics , mathematics , engineering , materials science , computer science , law , computer graphics (images) , political science , composite material
We discuss both linear and geometrically non‐linear finite element analysis of elastic beams, taking into account the shear deformation. In linear analysis, a novel shallow beam element formulaton is consistently derived, and the end result is more suitable for the finite element implementation than earlier attempts. The element is very resourceful for an explanation of membrane and shear locking phenomena and exploration of their possible remedies. In addition, it sheds some light on locking phenomena in non‐linear analysis. In non‐linear analysis, we discuss the finite element implementation of the finite strain beam theory of Reissner.