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A relaxation technique for evaluating stress intensity factors by the finite element method
Author(s) -
Theocaris P. S.,
Theotokoglou E. E.,
Tsamasphyros G.
Publication year - 1983
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.1620190104
Subject(s) - stress intensity factor , finite element method , mathematics , stress (linguistics) , intensity (physics) , mathematical analysis , structural engineering , relaxation (psychology) , residual stress , plane (geometry) , geometry , materials science , engineering , physics , composite material , optics , psychology , social psychology , philosophy , linguistics
A simple two‐step corrective technique is presented in this paper for evaluating stress intensity factors in crack problems. In the first step an approximate evaluation of the stress intensity factor was made by considering the cracked plate to be of infinite size. The stresses of the problem were relaxed by the stresses of the infinite body which corresponds to the approximate value of the stress intensity factor. The expected discrepancy in the value of SIF by the infinite plate approximation was corrected in the second step where the existing residual stresses are equilibrated at the cracked plate by using any of the conventional finite element techniques and the corrective value of the stress intensity factor is calculated by using an appropriate collocation formula. The method was applied to three typical plane problems of cracked plates with satisfactory results.