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A total lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two‐dimensional problems: Shell and plate structures
Author(s) -
Oliver J.,
On̄ate E.
Publication year - 1984
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.1620201208
Subject(s) - finite element method , shell (structure) , nonlinear system , curvature , displacement (psychology) , lagrangian , mathematics , mixed finite element method , series (stratigraphy) , geometry , mathematical analysis , structural engineering , engineering , physics , mechanical engineering , geology , psychology , quantum mechanics , psychotherapist , paleontology
A total Lagrangian finite element formulation for the geometrically nonlinear analysis (large displacement/large rotations) of shells is presented. Explicit expressions of all relevant finite element matrices are obtained by means of the definition of a local co‐ordinate system, based on the shell principal curvature directions, for the evaluation of strains and stresses. A series of examples of nonlinear analysis of shell and plate structures is given.