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Three‐dimensional finite element analysis for through‐wall crack in thick plate
Author(s) -
Yagawa G.,
Nishioka T.
Publication year - 1978
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.1620120807
Subject(s) - finite element method , stress intensity factor , mathematics , superposition principle , quadrature (astronomy) , mixed finite element method , mathematical analysis , extended finite element method , gaussian quadrature , structural engineering , nyström method , integral equation , engineering , electrical engineering
A superposition method, in which analytical and finite element solutions are combined through the variational principle, is presented for determining the three‐dimensional stress intensity factors of the through‐wall crack. Cumbersome volume integral due to the singular terms at the crack tip is carried on by applying the least squares methods to the results obtained by the Legendre‐Gauss quadrature. Several numerical calculations are made based on the present method, showing that the three‐dimensional effects cannot be neglected especially for the cases of larger Poisson's raito. The comparison of the present method with the other finite element methods proposed for determining the three‐dimensional stress intensity factors indicates that the former has the obvious superiority to the latters in respect to the numbers of elements and nodal points necessary to obtain reasonable results.