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Reduced basis approximation and a posteriori error estimation for stress intensity factors
Author(s) -
Huynh D. B. P.,
Patera A. T.
Publication year - 2007
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.2090
Subject(s) - a priori and a posteriori , stress intensity factor , basis (linear algebra) , stress (linguistics) , mathematics , fracture mechanics , mode (computer interface) , algorithm , computer science , mathematical optimization , structural engineering , geometry , engineering , philosophy , linguistics , epistemology , operating system
We develop reduced basis approximations, rigorous a posteriori error bounds, and offline–online computational procedures for the accurate, fast, and reliable prediction of stress intensity factors or strain energy release rates for ‘Mode I’ linear elastic crack problems relevant to fracture mechanics. We demonstrate the efficiency and rigor of our numerical method in several examples. Copyright © 2007 John Wiley & Sons, Ltd.