Implicit gradient and integral average effective stresses: relationships and numerical approximations

Maggiolini, Enrico; Livieri, Paolo; Tovo, R.

doi:10.1111/ffe.12216

Cited by 15 publications

(14 citation statements)

References 24 publications

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“…For this reason, energy based criteria (strain energy densities 15,16 ) average stress field approaches (implicit gradient 17,18 and critical distance theory 19,20 ) are becoming more important. 14 When the stress concentration factors tends towards infinite the maximum local stress can not used for fatigue prediction.…”

Section: N O M E N C L a T U R Ementioning

confidence: 99%

“…Ever since the 1970s, the Brazilian disk has been commonly used for mixedmode fracture testing of a cracked component; 23,24 30 years later, Torabi started to use a modified version of the original Brazilian disk, the U-notched Brazilian disc specimen, to understand the triaxial stress state around U-notches under mixed-mode loading. 13,17,18 Furthermore, in this article, the authors investigate the geometries of different shaped U-notches and with a fillet radius. First of all, some experimental cases recently presented by Lorenzino et al 9 were analysed according to the implicit gradient (IG) theory.…”

Section: N O M E N C L a T U R Ementioning

confidence: 99%

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Evaluation of effective stress along the border of lateral notches

Maggiolini

Tovo

Livieri

2016

Fatigue Fract Eng Mat Struct

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This paper analyses the issue of defect nucleation due to fatigue loading in notched components where cracks occur in the proximity of the zone where the major stress gradient occurs. On the basis of recent experimental results where the defects do not nucleate at the notch tip, the effective stress evaluated by means of the implicit gradient approach, can explain the reasons for this apparent discrepancy. Furthermore, in order to find a kind of notch that underlines the nucleation outside the maximum stress zone, rectangular lateral notches have been investigated. Rectangular notches could provide an interesting theoretical and experimental benchmark or reference case in order to validate effective stress definitions. The linear elastic stress field at edges, corners and in the surrounding material of rectangular, sharp or rounded lateral notches has been analysed by means of the implicit gradient approach. The consequent effective values of these notches are evaluated in relation to brittle fractures or their predicted fatigue strength values

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Section: N O M E N C L a T U R Ementioning

confidence: 99%

Section: N O M E N C L a T U R Ementioning

confidence: 99%

Evaluation of effective stress along the border of lateral notches

Maggiolini

Tovo

Livieri

2016

Fatigue Fract Eng Mat Struct

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“…(3), necessary for IG, due to the built-in PD equation solver. Authors developed another way to solve the IG with others FE software [25], but it turns out approximate and a direct solution is more accurate. TCD and SED do not need any specific software to be solved.…”

Section: Numerical Simulationsmentioning

confidence: 99%

On the notch sensitivity of cast iron under multi-axial fatigue loading

Livieri¹,

Maggiolini²,

Tovo³

2014

Frattura Ed Integrità Strutturale

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This work deals with the notch sensitivity of sharp notches under multi-axial fatigue loading. The main discussion concerns the differences in notch sensitivity at high cycle fatigue regime, between tensile, torsional and combined loading. For this comparison, this paper considers a large set of fatigue experimental tests and several computing simulations analyzed with several notch theories for predicting fatigue life of a component. The considered experimental data, taken from literature, deal with the fatigue behavior of cast iron circumferentially V-notched specimens under tension, torsion, and combined loading mode. This paper tries to apply several techniques for theoretical strength assessment and to compare different procedures. The examined procedures need the computation of many parameters, focusing on the importance of using the tensile resistance to set these parameters or using both tensile and torsion resistances. However, the improvements obtained by means of the more complex procedures are not noteworthy, compared to the overall scatter. In author's opinion, the differences in notch sensitivity under tensile and torsional loading remain questionable.

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“…critical distance (Susmel et al, 2013;Susmel and Taylor, 2012;, a placeholder notch Roundings (Radaj et al, 2013;Berto et al, 2012;Radaj et al, 2009;Berto, 2016), as roundings notch (Karakas et al, 2008;2007) and approaches of volume extremely stressed are a different version of the concept of stress notch. It is worth mentioning also approach the default gradient, applied for the evaluation of the fatigue of the components of the jagged and welded tasks at the fatigue the carrying out of the hinge (Cristofori et al, 2009;Tovo and Livieri, 2012;Maggiolini et al, 2015;Livieri et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

A Review of the Fatigue Strength of Load Carrying Shear Welded Joints

Berto¹,

Gagani²,

Petrescu³

et al. 2017

American Journal of Engineering and Applied Sciences

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In the study it is shown an overview of the latest results of two types of joints of the load carrying welded shear. Tests of fatigue have been carried out on the two solutions specific design features proposed and with the aim of improving the resistance of the joints under cycling loading. By hiring the 3D models, was determined Strain Energy Density (SED), in a volume of control which surrounds the lowest point of interest. All of the experimental results have been presented in short. The synthesis shows that all data are within the range of the scattering of the proposed previously in the specialized literature for steel construction welded.

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Implicit gradient and integral average effective stresses: relationships and numerical approximations

Cited by 15 publications

References 24 publications

Evaluation of effective stress along the border of lateral notches

Evaluation of effective stress along the border of lateral notches

On the notch sensitivity of cast iron under multi-axial fatigue loading

A Review of the Fatigue Strength of Load Carrying Shear Welded Joints

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