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 |
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Hauptverfasser: | , , |
Format: | Artikel |
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. |
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ISSN: | 0167-8442 1872-7638 |
DOI: | 10.1016/j.tafmec.2021.103083 |