Abstract
Recently some methods for the rapid calculation of notch stress intensity factors (NSIFs) have been developed and three of them are compared in this work. First, the criteria proposed by Lazzarin et al. and Treifi et al. have been reviewed. The former is based on the calculation of the mean value of SED on two different control volume (characterized by two different radius values) centred at the stress singularity point, whereas the latter takes advantage of the strain energy density averaged within two control volumes (semi-circular sector) centred at the notch tip. Then, a new method based on the evaluation of the total and deviatoric SED averaged in a single control volume has been proposed. Finally, plate specimens weakened by different notch geometries have been subjected to the application of the above mentioned methods and the obtained values of the NSIFs have been compared with those derived according to Gross and Mendelson.
Highlights
B ecause of the detrimental effects played by notches on mechanical behavior [1,2,3], several criteria have been proposed in literature for the assessment of material strength of components [4,5]
An approach based on the determination of the total elastic strain energy density (SED) averaged over a control volume of radius R0 surrounding the points of stress singularity has been developed [18] and it has broadly gained interest in the last years, since it allows to exploit course meshes overcoming the main drawback of notch stress intensity factors (NSIFs) criterion both for static static [19,20,21,22,23,24] and fatigue [1, 25,26,27] strength evaluation
Two of these methods, one proposed by Lazzarin et al [28] and the other by Treifi and Oyadiji [29], have been reviewed, and, afterwards, a new method based on the evaluation of the total and deviatoric SED averaged in a single control volume has been proposed, allowing in this case the determination of the SIFs, KI and KII, of cracks under mixed mode loading by means of two independent equations, one linked to the total SED and the other to the deviatoric one
Summary
B ecause of the detrimental effects played by notches on mechanical behavior [1,2,3] , several criteria have been proposed in literature for the assessment of material strength of components [4,5]. An approach based on the determination of the total elastic strain energy density (SED) averaged over a control volume of radius R0 surrounding the points of stress singularity has been developed [18] and it has broadly gained interest in the last years, since it allows to exploit course meshes overcoming the main drawback of NSIF criterion both for static static [19,20,21,22,23,24] and fatigue [1, 25,26,27] strength evaluation. Some approximate methods for the rapid calculation of the NSIFs, based on the averaged strain energy density, are available in literature and, referring to mixed mode loading, they required the solution of a system of two equations in two unknowns (K1 and K2). Two of these methods, one proposed by Lazzarin et al [28] and the other by Treifi and Oyadiji [29], have been reviewed, and, afterwards, a new method based on the evaluation of the total and deviatoric SED averaged in a single control volume has been proposed, allowing in this case the determination of the SIFs, KI and KII, of cracks under mixed mode loading by means of two independent equations, one linked to the total SED and the other to the deviatoric one
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