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An integrated load increment method for finite elasto–plastic stress analysis
Author(s) -
Cheng S. Y.,
Hsu T. R.,
Too J. J. M.
Publication year - 1980
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.1620150604
Subject(s) - finite element method , nonlinear system , cylinder , structural engineering , stress (linguistics) , scheme (mathematics) , deformation (meteorology) , reduction (mathematics) , constitutive equation , mathematics , computer science , materials science , mathematical analysis , engineering , geometry , composite material , physics , quantum mechanics , linguistics , philosophy
A new computational scheme, named the ‘Integrated Load Increment’ method (ILI), has been developed to handle elasto–plastic analysis of solids by the finite element variational technique. This scheme allows considerably larger loading steps to be applied to the structure without deviating from its nonlinear, load‐deformation relationship. It has been shown that these relationships can be evaluated by integrating the nonlinear constitutive equations within each load increment under certain conditions. A numerical example on a pressurized thick‐walled cylinder indicates that a 240 per cent improvement in computational efficiency and substantial reduction of loading steps over the conventional load incremental method can be achieved by the ILI technique.