Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates
By S. Filippi, P. Lazzarin, R. Tovo. 2002
326 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/395a8d611538adffcfd29790464e49f3868a3992
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In Civil and Structural Engineering
In Mechanics of Materials
Citations in the corpus
- Three-dimensional linear elastic distributions of stress and strain energy density ahead of V-shaped notches in plates of arbitrary thickness (2004, methodology): “All parameters were determined analytically, with the exception of constant a1, which can be linked to the maximum elastic stress at the notch tip according to the expression ( Filippi et al., 2002 ):”
- Two-dimensional fracture mechanics problems for solids with sharp and rounded V-notches (2010, background): “Later, the accuracy of the stress field expression was improved (Filippi et al. 2002) and its applicability was extended.”
- Brittle fracture in rounded-tip V-shaped notches (2010, methodology): “Torabi / Materials and Design 31 (2010) 60–67 (2) The expression for parameter x1 [ 22 ]:”
- Failure criteria for linear elastic materials with U-notches (2006, background): “ Filippi et al. (2002) and Lazzarin (2005), but Eq. 5 is sufficient for our purpose.”
- Fracture of V-notched specimens under mixed mode (I + II) loading in brittle materials (2009, background): “In addition, a simple fracture criterion based on the notch stress intensity factor of blunt V-notches (Lazzarin and Tovo 1996; Filippi et al. 2002 ) has been appliedtothissetofexperimentalresultsandhasshown agoodcapabilityforpredictionoffractureloads.”
- A fracture criterion for sharp V-notched samples (2003, background): “More recently, solutions valid for cracked and notched components have been published by Seweryn and Molski (1996) by Lazzarin and Tovo (1996) and by Filippi et al. (2002) .”
- Local strain energy to assess the static failure of U-notches in plates under mixed mode loading (2007, methodology): “1, some approximate expressions were obtained by Filippi et al. (2002) by using Neuber’s conformal mapping in an auxiliary (u, v) semi-infinite plane (Neuber 1985) and, in particular, the relationship x + iy = (u + iv)q linking Cartesian and curvilinear coordinates.”
- A fracture criterion for blunted V-notched samples (2004, background): “and a is a coefficient proportional to the external load, A, B, λ and µ are functions of α ,a nd λ>µ . All these parameters are explained in detail in Filippi et al. (2002) .”
- Some Expressions for the Strain Energy in a Finite Volume Surrounding the Root of Blunt V-notches (2005, methodology): “To this purpose, we use here the expression of stress distribution ahead of V-notches recently reported by Filippi et al. (2002) .”
- Stress field equations for U and blunt V-shaped notches in axisymmetric shafts under torsion (2010, background): “V-shaped rounded notches in plates under Mode I and Mode II loadings, Lazzarin and Tovo (1996) and Filippi et al. (2002) analytically clarified the influence of the opening angle on the stress fields and on the origin of the adopted polar coordinates system and gave the correct expressions of the ”