Crack onset at a v-notch. Influence of the notch tip radius

By D. Leguillon, Zohar Yosibash. 2003

145 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/461c1606c015efc650b8c62cbc084a6cf873c076

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In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Failure criteria for brittle elastic materials (2004, result): “Leguillon criterion outperforms the Novoshilov–Seweryn criterion, and it has been refined to include ρ dependency so to match better the experimental observations -see Leguillon and Yosibash (2003).”
Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches (2010, background): “For symmetrically loaded notches (mode I), likewise as for the cracks (Irwin 1957), the following local stress criterion is used most often (Cherepanov 1979; Ibragimov and Romanchak 1984; Berkun and Protsenko 1985; Carpinteri 1987; Seweryn 1994; Dunn et al. 1997a,b; Leguillon 2002; Leguillon and Yos”
Numerical implementation of the coupled criterion: Matched asymptotic and full finite element approaches (2020, methodology): “The smallest value is obtained for small opening angles [34] with: lc ≥ l c = Lmat 2π .”
Brittle fracture in rounded-tip V-shaped notches (2010, methodology): “For instance, a criterion based on the Griffith theory was developed by Leguillon and Yosibash [ 10 ] although it was applicable only to small notch radii.”
Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept (2007, background): “Several criteria have been proposed to predict fracture loads of components with notches, subjected to mode I loading (See, for example Kipp and Sih 1975; Carpinteri 1987; Knesl 1991; Nui et al. 1994; Seweryn 1994; Gomez et al. 2000; Lazzarin and Zambardi 2001; Atzori and Lazzarin 2001; Strandberg 2”
Local strain energy to assess the static failure of U-notches in plates under mixed mode loading (2007, background): “A number of cracking criteria applicable to brittle or quasi-brittle materials under monotonic loading have been published, with the aim of evaluating the critical static load of a notched component subjected to mode I loading and weakened by sharp and blunt notches (see, among others, Carpinteri 19”
A finite fracture mechanics approach to structures with sharp V-notches (2008, methodology): “Finally, among recent advances in the analysis of V-notched structures, we want to cite: the failure criterion proposed by Lazzarin and Zambardi [17], which assumes as a critical parameter the strain energy in a small region around the notch tip; the fracture criterion proposed by Leguillon [18,19],”
A failure criterion for brittle elastic materials under mixed-mode loading (2006, background): “This criterion, shown to predict very well failure initiation under mode I loading for various V-notch angles (see, e.g. Leguillon 2002; Leguillon and Yosibash 2003), satisfies both the classical Griffith criterion and the strength criterion.”
Finite fracture mechanics: A coupled stress and energy failure criterion (2006, methodology): “The present criterion is close to the one proposed in Leguillon [22,23], where it was applied successfully to the prediction of the failure load of a three point bending beam with re-entrant corners of different amplitude.”
Failure criteria for linear elastic materials with U-notches (2006, background): “Leguillon and Yosibash (2003) checked the prediction capacity of several failure criteria applied to round sharp notches; Taylor et al. (2005) studied the application of the finite fracture mechanics criterion and local distance criterion to notches and, Lazzarin and Zambardi (2001) and Lazzarin an”
Injection-Sensitive Mechanics of Hydraulic Fracture Interaction with Discontinuities (2014, background): “The fact is the stress criterion used alone can be either inapplicable like in fracture problems, or at least insufficient, as in problems with stress singularities near notches (Leguillon 2002; Leguillon and Murer 2008; Leguillon and Yosibash 2003).”