Premium
Path independent integrals for computing stress intensity factors at sharp notches in elastic plates
Author(s) -
Sinclair G. B.,
Okajima M.,
Griffin J. H.
Publication year - 1984
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.1620200603
Subject(s) - superposition principle , finite element method , stress intensity factor , mathematics , independence (probability theory) , path (computing) , mathematical analysis , intensity (physics) , set (abstract data type) , stress (linguistics) , mode (computer interface) , structural engineering , physics , computer science , engineering , optics , linguistics , statistics , philosophy , programming language , operating system
A set of path independent integrals is constructed for the calculation of the generalized stress intensity factors occurring in elastic plates having sharp re‐entrant corners or notches with stress‐free faces and subjected to Mode I, II or III type loading. The Mode I integral is then demonstrated to enjoy a reasonable degree of numerical path independence in a finite element analysis of a test problem having an exact solution. Finally, this integral is used on the same problem in conjunction with a regularizing, finite element, procedure or superposition method. The results indicate that sufficiently accurate estimates of these stress intensity factors for engineering purposes can be achieved with little computational effort.