[Une méthodologie d’ingénierie pour prédire la croissance des fissures des alliages d’aluminium 2024-T3 sous charge d’amplitude variable]
The propagation of fatigue cracks can significantly reduce the lifespan of components, potentially leading to failures. This study presents an engineering approach that accounts for variable-amplitude loading while incorporating residual stresses at the crack tip.
The objective is to evaluate the fatigue life of 2024-T3 aluminum alloys under variable loading by transforming the problem into an equivalent one with constant loading, eliminating complex cycle-by-cycle calculations.
The proposed strategy is integrated into the two-parameter fatigue crack growth model, which considers both the total maximum stress intensity factor $K_{\max \_\mathrm{tot}}$ and the total stress intensity factor range $\Delta K_{\mathrm{tot}}$. Initially, plastic zone interaction effects are neglected to establish an equivalence relationship between variable and constant loading.
The Willenborg model is then used to determine the equivalent stress, ensuring a comparable crack growth rate. To refine the approach, a finite element (FE) elasto-plastic analysis based on the Chaboche model is conducted. This analysis estimates the residual stress distribution at the crack tip, converted into a residual stress intensity factor $K_{\mathrm{r}}$. This factor is integrated into a correction coefficient equation to account for plastic zone interaction effects.
Three loading spectra were examined. Predicted results were compared with experimental data, showing that the proposed model improves crack growth life in 2024-T3 aluminum alloy structures subjected to variable-amplitude loading.
La propagation des fissures de fatigue peut réduire considérablement la durée de vie des composants, ce qui peut entraîner des défaillances. Cette étude présente une approche d’ingénierie qui tient compte des charges d’amplitude variable tout en incorporant des contraintes résiduelles à l’extrémité de la fissure.
L’objectif est d’évaluer la résistance à la fatigue des alliages d’aluminium 2024-T3 sous charge variable en transformant le problème en un problème équivalent à charge constante, en éliminant les calculs complexes cycle par cycle.
La stratégie proposée est intégrée dans le modèle de croissance des fissures de fatigue à deux paramètres, qui prend en compte à la fois le facteur d’intensité de contrainte maximal total $K_{\max \_\mathrm{tot}}$ et la plage de facteurs d’intensité de contrainte totale $\Delta K_{\mathrm{tot}}$. Initialement, les effets d’interaction de la zone plastique sont négligés afin d’établir une relation d’équivalence entre le chargement variable et le chargement constant.
Le modèle de Willenborg est ensuite utilisé pour déterminer la contrainte équivalente, garantissant ainsi un taux de croissance des fissures comparable. Pour affiner l’approche, une analyse élasto-plastique par éléments finis (EF) basée sur le modèle de Chaboche est réalisée. Cette analyse permet d’estimer la distribution des contraintes résiduelles à l’extrémité de la fissure, convertie en facteur d’intensité des contraintes résiduelles $K_{\mathrm{r}}$. Ce facteur est intégré dans une équation de coefficient de correction pour tenir compte des effets d’interaction de la zone plastique.
Trois spectres de charge ont été examinés. Les résultats prédits ont été comparés aux données expérimentales, montrant que le modèle proposé améliore la concordance avec les résultats expérimentaux améliore la durée de vie de la croissance des fissures dans les structures en alliage d’aluminium 2024-T3 soumises à une charge d’amplitude variable.
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Mots-clés : Durée de vie de la propagation des fissures de fatigue, Chargement à amplitude variable, Facteur d’intensité de contrainte résiduelle, Niveau de stress équivalent, Optimisation
Brahim Bouaziz 1 ; Maher Eltaief 1 ; Chokri Bouraoui 1
CC-BY 4.0
@article{CRMECA_2025__353_G1_1385_0,
author = {Brahim Bouaziz and Maher Eltaief and Chokri Bouraoui},
title = {An engineering methodology for predicting crack growth of {2024-T3} aluminium alloys under variable amplitude loading},
journal = {Comptes Rendus. M\'ecanique},
pages = {1385--1404},
year = {2025},
publisher = {Acad\'emie des sciences, Paris},
volume = {353},
doi = {10.5802/crmeca.339},
language = {en},
}
TY - JOUR AU - Brahim Bouaziz AU - Maher Eltaief AU - Chokri Bouraoui TI - An engineering methodology for predicting crack growth of 2024-T3 aluminium alloys under variable amplitude loading JO - Comptes Rendus. Mécanique PY - 2025 SP - 1385 EP - 1404 VL - 353 PB - Académie des sciences, Paris DO - 10.5802/crmeca.339 LA - en ID - CRMECA_2025__353_G1_1385_0 ER -
%0 Journal Article %A Brahim Bouaziz %A Maher Eltaief %A Chokri Bouraoui %T An engineering methodology for predicting crack growth of 2024-T3 aluminium alloys under variable amplitude loading %J Comptes Rendus. Mécanique %D 2025 %P 1385-1404 %V 353 %I Académie des sciences, Paris %R 10.5802/crmeca.339 %G en %F CRMECA_2025__353_G1_1385_0
Brahim Bouaziz; Maher Eltaief; Chokri Bouraoui. An engineering methodology for predicting crack growth of 2024-T3 aluminium alloys under variable amplitude loading. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 1385-1404. doi: 10.5802/crmeca.339
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