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Finite element analysis of elasto‐plastic shells
Author(s) -
Bäcklund Jan,
Wennerström Hans
Publication year - 1974
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.1620080217
Subject(s) - finite element method , isotropy , von mises yield criterion , prandtl number , deflection (physics) , mathematics , bending moment , structural engineering , mechanics , mathematical analysis , materials science , classical mechanics , engineering , physics , heat transfer , quantum mechanics
A finite element analysis applicable to elasto‐plastic shells of arbitrary shape is presented. Small‐deflection behaviour of thin shells subjected to monotonically increasing static loads is considered. The material is assumed to be originally isotropic, following the von Mises yield criterion and the Prandtl‐Reuss flow rule. A flat triangular element with twelve degrees of freedom is used in the analysis. Within each element both membrane forces and bending moments are assumed to be constant. Some numerical results are included to illustrate the merits of the element.