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Simulating three‐dimensional stress intensity factors by the least‐squares method
Author(s) -
Ju S. H.
Publication year - 1998
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/(sici)1097-0207(19981230)43:8<1437::aid-nme477>3.0.co;2-9
Subject(s) - stress intensity factor , finite element method , least squares function approximation , mathematics , displacement (psychology) , intensity (physics) , stress (linguistics) , moving least squares , radius , mathematical analysis , structural engineering , computer science , engineering , statistics , physics , optics , psychology , linguistics , philosophy , computer security , estimator , psychotherapist
The main purpose of this paper is to investigate the accuracy of the least‐squares method incorporating the finite element method for finding three‐dimensional (3‐D) Stress Intensity Factors (SIFs). Numerical simulations in this paper indicate that the least‐squares method can be used to calculate 3‐D SIFs accurately, if three or more than three displacement or stress terms are included. The calculated SIFs of this method are independent of the maximum radius of the area from which data is included; furthermore, a very fine mesh is not necessary. © 1998 John Wiley & Sons, Ltd.