Study of V-notch fatigue strength based on affected depth approach

Marwa Youssef; Anouar Nasr

doi:10.5802/crmeca.264

Article de recherche

Study of V-notch fatigue strength based on affected depth approach
[Étude de la résistance à la fatigue des entailles en V basée sur l’approche de la profondeur affectée]

Marwa Youssef ¹ ; Anouar Nasr ^1,²

¹ LGM, ENIM, Université de Monastir, Avenue Ibn Eljazzar, Monastir 5019, Tunisia
² IPEIM, Université de Monastir, Avenue Ibn Eljazzar, Monastir 5019, Tunisia

Comptes Rendus. Mécanique, Volume 352 (2024), pp. 223-237.

Résumé
Abstract

Dans ce travail, l’approche de la profondeur affectée (AD) est employée pour estimer la limite de fatigue à haut cycle de l’acier AISI 416 affaibli par des entailles. Cette approche est basée sur un paramètre de profondeur critique identifié à partir de l’analyse de la distribution des contraintes autour du défaut. Des calculs élasto-plastiques par éléments finis ont été effectués pour déterminer le champ de contraintes à proximité de l’entaille. L’entaille est modélisée par une discontinuité de matière (vide) caractérisée par : (i) une profondeur d’entaille et (ii) un rayon de la pointe de l’entaille. La contrainte équivalente de Crossland est utilisée pour calculer la contrainte entourant l’entaille d’un matériau entaillé en V soumis à des charges de torsion et de tension totalement inversées. Les résultats expérimentaux des matériaux entaillés, utilisés pour la validation du modèle, sont tirés de la littérature. Dans la première partie de l’article, le diagramme de limite de fatigue est simulé en évaluant les limites de fatigue afin de valider le modèle AD pour les composants entaillés. La prédiction de la résistance à la fatigue est cohérente avec l’étude expérimentale tirée de la littérature et fournit des résultats intéressants. Dans la deuxième partie de l’article, deux points sont traités : (i) l’effet de l’acuité de l’entaille sur la déformation plastique et la concentration de contrainte. Cela permet de tester la capacité de l’approche AD à décrire le comportement en fatigue des composants entaillés en V. (ii) L’impact de l’acuité de l’entaille sur la déformation plastique et la concentration de contrainte. (ii) L’impact du rayon de la pointe de l’entaille sur le paramètre de profondeur affectée de l’acier à faible teneur en carbone entaillé.

In this work, the Affected Depth (AD) approach is employed to estimate the high cycle fatigue limit of AISI 416 steel weakened by notches. This approach is based on a critical depth parameter identified from the analysis of the stress distribution around the defect. Elasto-plastic finite element calculations have been performed to determine the stress field close to the notch. Where the notch is modeled by a discontinuity of matter (void) characterised by: (i) a notch depth and (ii) a notch tip radius. The Crossland equivalent stress is employed to compute the stress surrounding the notch of a V-notched material submitted to fully reversed torsion and tension loadings. The experimental results of notched materials, used for model validation, are obtained from the literature. In the first part of the paper, Fatigue Limit diagram is simulated by assessing the fatigue limits to validate the AD model for notched components. The prediction of the fatigue strength is consistent with the experimental investigation taken from the literature, and it provides interesting results. In the second part of the paper, two points are treated: (i) The effect of the notch acuity on the plastic strain and the stress concentration. It allows testing the capability of the AD approach to describe the fatigue behavior of the V-notched components. (ii) The impact of the notch tip radius on the affected depth parameter of notched low carbon steel.

Reçu le : 2024-04-24
Révisé le : 2024-07-09
Accepté le : 2024-07-12
Publié le : 2024-09-19

DOI : 10.5802/crmeca.264

Keywords: High-cycle fatigue, Affected depth, Fatigue Limit diagram, V-notch, Notch tip radius
Mot clés : Fatigue à grand nombre de cycle, Profondeur affectée, Diagramme de limite de fatigue, Entaille en V, Rayon de l’extrémité de l’entaille

Affiliations des auteurs :

Marwa Youssef ¹ ; Anouar Nasr ^{1, 2}

¹ LGM, ENIM, Université de Monastir, Avenue Ibn Eljazzar, Monastir 5019, Tunisia
² IPEIM, Université de Monastir, Avenue Ibn Eljazzar, Monastir 5019, Tunisia

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Marwa Youssef and Anouar Nasr},
     title = {Study of {V-notch} fatigue strength based on affected depth approach},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {223--237},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {352},
     year = {2024},
     doi = {10.5802/crmeca.264},
     language = {en},
}

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Marwa Youssef; Anouar Nasr. Study of V-notch fatigue strength based on affected depth approach. Comptes Rendus. Mécanique, Volume 352 (2024), pp. 223-237. doi : 10.5802/crmeca.264. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.264/

Bibliographie
Cité par

[1] L. Susmel; P. Lazzarin A bi-parametric Wohler curve for high cycle multiaxial fatigue assessment, Fatigue Fract. Eng. Mater. Struct., Volume 25 (2002), pp. 63-78 | DOI

[2] P. Lazzarin; L. Susmel A stress-based method to predict life time under multiaxial fatigue loadings, Fatigue Fract. Eng. Mater. Struct., Volume 26 (2003), pp. 1171-1187 | DOI

[3] D. Taylor The theory of critical distances, Eng. Fract. Mech., Volume 75 (2008), pp. 1696-1705 | DOI

[4] L. Susmel; D. Taylor The theory of critical distances to predict static strength of notched brittle components subjected to mixed-mode loading, Eng. Fract. Mech., Volume 75 (2008), pp. 534-550 | DOI

[5] I. Pelekis; L. Susmel The theory of critical distances to estimate static and dynamic strength of notched plain concrete, Procedia Struct. Integr., Volume 2 (2016), pp. 2006-2013 | DOI

[6] G. Glinka Energy density approach to calculation of inelastic strain-stress near notches and cracks, Eng. Fract. Mech., Volume 22 (1985), pp. 485-508 | DOI

[7] J. Park; D. Nelson Evaluation of an energy-based approach and a critical plane approach for predicting constant amplitude multiaxial fatigue life, Int. J. Fatigue, Volume 22 (2000), pp. 23-39 | DOI

[8] P. Lazzarin; R. Zambardi The equivalent strain energy density approach re-formulated and applied to sharp V-shaped notches under localized and generalized plasticity, Fatigue Fract. Eng. Mater. Struct., Volume 25 (2002), pp. 917-928 | DOI

[9] P. Lazzarin; R. Zambardi A finite-volume-energy based approach to predict the static and fatigue behaviour of components with sharp V-shaped notches, Int. J. Fract., Volume 112 (2001), pp. 275-298 | DOI

[10] F. Berto; P. Lazzarin; R. Tovo Multiaxial fatigue strength of severely notched cast iron specimens, Int. J. Fatigue, Volume 67 (2014), pp. 15-27 | DOI

[11] F. Berto A criterion based on the local strain energy density for the fracture assessment of cracked and V-notched components made of incompressible hyperelastic materials, Theor. Appl. Fract. Mech., Volume 76 (2015), pp. 17-26 | DOI

[12] Z. Hu; F. Berto; Y. Hong; L. Susmel Comparison of TCD and SED methods in fatigue lifetime assessment, Int. J. Fatigue, Volume 123 (2019), pp. 105-134 | DOI

[13] P. Lazzarin; R. Tovo A notch intensity approach to the stress analysis of welds, Fatigue Fract. Eng. Mater. Struct., Volume 21 (1998), pp. 1089-1103 | DOI

[14] P. Lazzarin; S. Filippi A generalized stress intensity factor to be applied to rounded V-shaped notches, Int. J. Solids Struct., Volume 43 (2006), pp. 2461-2478 | DOI

[15] D. Leguillon A criterion for crack nucleation at a notch in homogeneous materials, C. R. Acad. Sci. Paris Ser. II B Mech., Volume 329 (2001), pp. 97-102 | DOI

[16] A. A. Griffith The phenomena of rupture and flow in solids, Philos. Trans. R. Soc. Lond. A, Volume 221 (1921), pp. 163-198 | DOI

[17] D. Leguillon Strength or toughness? A criterion for crack onset at a notch, Eur. J. Mech. A-Solid, Volume 21 (2002), pp. 61-72 | DOI

[18] A. Carpinteri; P. Cornetti; N. Pugno; A. Sapora; D. Taylor A finite fracture mechanics approach to structures with sharp V-notches, Eng. Fract. Mech., Volume 75 (2008), pp. 1736-1752 | DOI

[19] P. Lazzarin; A. Campagnolo; F. Berto A comparison among some recent energy- and stress-based criteria for the fracture assessment of sharp V-notched components under Mode I loading, Theor. Appl. Fract. Mech., Volume 71 (2014), pp. 21-30 | DOI

[20] A. Nasr; W. Hassine; Ch Bouraoui Fatigue limit assessment for defective materials based on affected depth, Metall. Res. Technol., Volume 114 (2017), 505 | DOI

[21] W. Hassine; A. Nasr; Ch Bouraoui New multiaxial fatigue limit criterion for defective material: 1045 steel, Lecture Notes Control Inf., Volume 789 (2015), pp. 255-264 | DOI

[22] F. Berto; P. Lazzarin Fatigue strength of structural components under multi-axial loading interms of local energy density averaged on a control volume, Int. J. Fatigue, Volume 33 (2011), pp. 1055-1065 | DOI

[23] H.K.S., Inc. Abaqus User’s Manual Version 6.2, HKS, Pawtucket, RI, 2001

[24] T. Billaudeau; Y. Nadot; G. Bezine Multiaxial fatigue limit for defective materials: Mechanisms and experiments, Acta. Mater., Volume 52 (2004), pp. 3911-3920 | DOI

[25] H. Wannes; A. Nasr; Ch Bouraoui New fatigue limit assessment approach of defective material under fully reversed tension and torsion loading, Mech. Ind., Volume 17 (2016), 310 | DOI

[26] M. Ciavarella; F. Monno A comparison of multiaxial fatigue criteria as applied to rolling contact fatigue, Int. J. Fatigue, Volume 43 (2010), pp. 2139-2144

[27] G. Quilafku; N. Kadi; J. Dobranski; Z. Azari; M. Gjonaj; G. Pluvinage Fatigue specimens subjected to combined loading, role of hydrostatic pressure, Int. J. Fatigue, Volume 23 (2001), pp. 689-701 | DOI

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