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Generalized crack closure analysis for elements with arbitrarily-placed side nodes and consistent nodal forces

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dc.creator Nairn, John A.
dc.date.accessioned 2012-10-10T00:17:08Z
dc.date.available 2012-10-10T00:17:08Z
dc.date.issued 2011-09
dc.identifier.citation Nairn, J. A. (2011). Generalized crack closure analysis for elements with arbitrarily-placed side nodes and consistent nodal forces. International Journal of Fracture, 171(1), 11-22. doi: 10.1007/s10704-011-9622-x en_US
dc.identifier.uri http://hdl.handle.net/1957/34299
dc.description This is the author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Springer and can be found at: http://www.springerlink.com/content/100274/. en_US
dc.description.abstract A new approach was developed for the evaluation of energy release rate by the virtual crack closure technique in quadratic and linear elements. The generalized method allows arbitrary placement of the side nodes for quadratic elements and thus includes both standard elements, with mid-side nodes, and singularity elements, with quarter-point nodes, as special cases of one general equation. It also accounts for traction-loaded cracks. The new derivation revealed that the proper nodal forces needed for crack closure calculations should be the newly-defined “nodal edge forces,” rather than the global or element forces from standard finite element analysis results. A method is derived for calculating nodal edge forces from global forces. These new forces affect energy release rate calculations for singularity elements and for problems with traction-loaded cracks. Several sample calculations show that the new approach gives improved accuracy. en_US
dc.language.iso en_US en_US
dc.publisher Springer en_US
dc.relation.ispartofseries International Journal of Fracture en_US
dc.relation.ispartofseries Vol. 171 no. 1 en_US
dc.subject Fracture en_US
dc.subject Finite elements analysis en_US
dc.subject Crack closure en_US
dc.title Generalized crack closure analysis for elements with arbitrarily-placed side nodes and consistent nodal forces en_US
dc.type Article en_US
dc.description.peerreview yes en_US
dc.identifier.doi 10.1007/s10704-011-9622-x


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