On the use of elemental quantities to compute NSIFs at pointed V-notches with non-regular coarse meshes

•Elemental quantities are used to compute NSIFs with coarse meshes.•The method is based on the Energy Density and averaged stresses over a finite element.•Pure Mode 1, Mode 2 and Mode 3, as well as for mixed Mode loadings are considered. In this work, the possibility to use elemental quantities, com...

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Veröffentlicht in:Theoretical and applied fracture mechanics 2021-12, Vol.116, p.103083, Article 103083
Hauptverfasser: Zappalorto, Michele, Pontefisso, Alessandro, Carraro, Paolo Andrea
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Sprache:eng
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Zusammenfassung:•Elemental quantities are used to compute NSIFs with coarse meshes.•The method is based on the Energy Density and averaged stresses over a finite element.•Pure Mode 1, Mode 2 and Mode 3, as well as for mixed Mode loadings are considered. In this work, the possibility to use elemental quantities, computed from non-regular coarse meshes, to assess Notch Stress Intensity Factors at pointed V-notches (with a notch opening angle different from zero) is explored. To this end, the analytical expressions for the Energy Density and averaged stresses over a four sided finite element close to the notch tip are firstly derived, based on Williams equations under pure Mode 1, Mode 2 and Mode 3, as well as for mixed Mode loadings. Subsequently, taking advantage of a large number of examples, non-uniform, coarse, mesh patterns are used to back calculate the NSIF values simply inverting the above-mentioned analytical expressions, also discussing the accuracy, the advantages and the limitations of this approach.
ISSN:0167-8442
1872-7638
DOI:10.1016/j.tafmec.2021.103083