Some Expressions for the Strain Energy in a Finite Volume Surrounding the Root of Blunt V-notches

By P. Lazzarin, Filippo Berto. 2005

380 citations recorded by the source corpus.

Subfields: Building and Construction, Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/edfc6f2c2431bdb95b432e78de83e7b6b4a75b41

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Citations in the corpus

Local strain energy to assess the static failure of U-notches in plates under mixed mode loading (2007, methodology): “V- and U-notches under mode I loading, considering the area shown in Fig. 2c and assuming the value of Rc independent of the notch geometry ( Lazzarin and Berto 2005a ).”
Fracture of V-notched specimens under mixed mode (I + II) loading in brittle materials (2009, background): “... research during the last years and, up to now, fracture loads have been predicted quite accurately, unless for brittle or quasi brittle notched components (see, for example, Carpinteri 1987; Knesl 1991; Nui et al. 1994; Seweryn 1994;Gomezetal.2000;LazzarinandZambardi2001; Gomez and Elices 2003a,”
J-integral evaluation for U- and V-blunt notches under Mode I loading and materials obeying a power hardening law (2007, methodology): “By using the mean value of the strain energy density (SED), the static strength properties of brittle engineering components weakened by sharp V-notches (Lazzarin and Zambardi 2001; Yosibash et al. 2004) and blunt V-notches under Mode I or mixed (Mode I and Mode II) loading ( Lazzarin and Berto 2005”
Failure criteria for linear elastic materials with U-notches (2006, methodology): “where M vanishes in the case of U-notches under mode I loading ( Lazzarin and Berto 2005 ).”
Rock Fracture Toughness Study Under Mixed Mode I/III Loading (2017, background): “…and Saboori 2014), the maximum tangential stress (MTS) criterion (Liu et al. 2004) and the average strain energy density over a control volume (Lazzarin and Berto 2005; Lazzarin et al. 2009; Berto and Lazzarin 2009) are some of the well-known fracture theories in this field which are derived…”
Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion (2010, methodology): “To better investigate the accuracy of the proposed equations outside the notch bisector line close to the notch tip we have compared the mean value of the shear stress modulus τ averaged in a control volume similar to that proposed by Lazzarin and Berto (2005) and shown in Fig. 13:”
Application of an average strain energy density criterion to obtain the mixed mode fracture load of granite rock tested with the cracked asymmetric four-point bend specimens (2017, methodology): “The elastic deformation energy, averaged on the control volume turns out to be [27-29]:”
Fracture assessment of U-notches under mixed mode loading: two procedures based on the ‘equivalent local mode I’ concept (2007, methodology): “only mode I was considered, (see Gomez et al. 2005 or Lazzarin and Berto 2005a ).”
Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches (2010, background): “The first, based on Griffith’s (1921) strain energy release rate (Seweryn 1998; Leguillon 2001, 2002) and the other, known as local strain energy density criteria (Sih and Macdonald 1974; Kipp and Sih 1975; Gillemot 1976; Molski and Glinka 1981; Glinka 1985; Gillemot et al. 1985; Sih and Ho 1991; Cz”