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Calculation of approximate weight functions in fracture mechanics by FEM
Author(s) -
Morawietz P.,
Mattheck C.,
Munz D.
Publication year - 1985
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.1620210810
Subject(s) - stress intensity factor , finite element method , fracture mechanics , displacement (psychology) , weight function , stress (linguistics) , mechanics , fracture (geology) , structural engineering , stress field , mathematics , materials science , mathematical analysis , engineering , physics , composite material , psychology , linguistics , philosophy , psychotherapist
A method is presented for the calculation of weight functions used in fracture mechanics to determine stress intensity factors of cracks loaded by stress gradients. The reference solution for the stress intensity factor and for the reference crack opening displacement field is computed numerically by use of finite elements. The accuracy of the method is checked by comparison with well‐known solutions from the literature.