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A return‐mapping algorithm for plastic‐damage models: 3‐D and plane stress formulation
Author(s) -
Lee Jeeho,
Fenves Gregory L.
Publication year - 2000
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 - 10.1002/1097-0207(20010120)50:2<487::aid-nme44>3.0.co;2-n
Subject(s) - computation , tangent , algorithm , stress (linguistics) , plane (geometry) , stiffness , mathematics , computer science , geometry , structural engineering , engineering , philosophy , linguistics
Three‐dimensional and plane stress formulations of the return‐mapping algorithm for a class of plastic‐damage models are derived using the spectral decomposition form of the stress. An efficient plane stress computation scheme based on the spectral return‐mapping algorithm is developed. The consistent algorithmic tangent stiffness for the present algorithm is formulated. The validation and performance of the present return‐mapping algorithm is demonstrated by numerical examples. Copyright © 2001 John Wiley & Sons, Ltd.

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