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A nine‐node assumed strain finite element for large‐deformation analysis of laminated shells
Author(s) -
Lee S. J.,
KanokNukulchai W.
Publication year - 1998
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/(sici)1097-0207(19980715)42:5<777::aid-nme365>3.0.co;2-p
Subject(s) - finite element method , node (physics) , structural engineering , deformation (meteorology) , strain (injury) , materials science , composite material , engineering , medicine
An application of the element‐based Lagrangian formulation is described for large‐deformation analysis of both single‐layered and laminated shells. Natural co‐ordinate‐based stresses, strains and constitutive equations are used throughout the formulation of the present shell element which offers significant implementation advantages compared with the traditional Lagrangian formulation. In order to avoid locking phenomena, an assumed strain method has been employed with judicious selection of the sampling points. Three strictly successive finite rotations are used to represent the current orientation of the shell normal. The equivalent natural constitutive equation is derived using an explicit transformation scheme to consider the multi‐layer effect of laminated structures. The arc‐length control method is used to trace complex load‐displacement paths. Several numerical analyses are presented and discussed in order to investigate the capabilities of the present shell element. © 1998 John Wiley & Sons, Ltd.