Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
This study presents the effects of the geometry of the notches on the fatigue life, crack initiation, and growth in mixed mode and first mode of the fracture. For this purpose, some samples were tested with U-shaped notches with different radii and depths and various orientations with respect to the loading directions under fatigue loads. Using the fatigue crack growth rates, the Paris law coefficients were obtained for the used material in different conditions. It was shown that these coefficients are independent of the geometry of the samples. Fatigue crack growth behaviors in the mixed mode tests were also in good agreement with the result of the numerical simulations. Predictions of the maximum tangential stress criterion and numerical simulation for the position of the crack initiation on the notch root were compared with the tested observations, which showed good agreement. The fatigue life of the test samples was compared with the analytical results provided by the Manson-Coffin law. It was shown that a 25% decrease in notch depth increases the fatigue life by 3 times, also, an increase of 0.5 mm in the notch radius increases the fatigue life by 40%. Finally, the fracture surface of the samples was checked using an optical microscope. This study showed that the fracture surfaces have one or two lateral shear lips and plane stress conditions were established. REFERENCES [1] X.-L. Zheng, Modelling fatigue crack initiation life, Int. J. Fatigue, 15 (1993) 461-466, https://doi.org/10.1016/0142-1123(93)90257-Q. [2] M. De Freitas, L. Reis, B. Li, Evaluation of small crack growth models for notched specimen under axial/torsional fatigue loading, Facta universitatis-series: Mechanics, Automatic Control and Robotics, 3 (2003) 657-669, [3] H. Zhang, A. Fatemi, Short fatigue crack growth from a blunt notch in plate specimens, Int. J. Fract., 170 (2011) 1-11, https://doi.org/10.1007/s10704-011-9597-7. [4] Z. Zhang, Q. Sun, C. Li, Y. Qiao, D. Zhang, A New Three-Parameter Model for Predicting Fatigue Crack Initiation Life, J. Mater. Eng. Perform., 20 (2011) 169-176, https://doi.org/10.1007/s11665-010-9667-4. [5] A. Carpinteri, M. Paggi, The effect of crack size and specimen size on the relation between the Paris and Wöhler curves, Meccanica, 49 (2014) 765-773, https://doi.org/10.1007/s11012-014-9908-y. [6] R. Branco, J. Costa, F. Antunes, Fatigue behaviour and life prediction of lateral notched round bars under bending–torsion loading, Eng. Fract. Mech., 119 (2014) 66-84, https://doi.org/10.1016/j.engfracmech.2014.02.009. [7] F. Gomez, G. Guinea, M. Elices, Failure criteria for linear elastic materials with U-notches, Int. J. Fract., 141 (2006) 99-113, https://doi.org/10.1007/s10704-006-0066-7. [8] M. Benedetti, M. Beghini, L. Bertini, V. Fontanari, Experimental investigation on the propagation of fatigue cracks emanating from sharp notches, Meccanica, 43 (2008) 201-210, https://doi.org/10.1007/s11012-008-9129-3. [9] A. Akhavan Safar, A. Vrdi, M. Zorofi, Numerical and analytical investigation of the fatigue life of the notched sample and its comparison with the experimental results, in: 16th Annual Conference on Mechanical Engineering, Kerman, Iran, 2008. [10] Y. Hu, Z. Hu, S. Cao, Theoretical study on Manson-Coffin equation for physically short cracks and lifetime prediction, Sci. China Technol. Sci., 55 (2012) 34-42, https://doi.org/10.1007/s11431-011-4581-z. [11] Y. Li, H. Wang, D. Gong, The interrelation of the parameters in the Paris equation of fatigue crack growth, Eng. Fract. Mech., 96 (2012) 500-509, https://doi.org/10.1016/j.engfracmech.2012.08.016. [12] F. Gómez, M. Elices, F. Berto, P. Lazzarin, A generalised notch stress intensity factor for U-notched components loaded under mixed mode, Eng. Fract. Mech., 75 (2008) 4819-4833, https://doi.org/10.1016/j.engfracmech.2008.07.001. [13] S. Iida, A.S. Kobayashi, Crack-propagation rate in 7075-T6 plates under cyclic tensile and transverse shear loadings, J. Fluids Eng., 91 (1969) 764-769, https://doi.org/10.1115/1.3571219. [14] J. Qian, A. Fatemi, Mixed mode fatigue crack growth: a literature survey, Eng. Fract. Mech., 55 (1996) 969-990, https://doi.org/10.1016/S0013-7944(96)00071-9. [15] F. Erdogan, G. Sih, On the crack extension in plates under plane loading and transverse shear, J. Fluids Eng., 85 (1963) 519-525, https://doi.org/10.1115/1.3656897. [16] E.E. Gdoutos, Problems of mixed mode crack propagation, (1984), [17] A.T. Yokobori, T. Yokobori, K. Sato, K. Syoji, Fatigue crack growth under mixed modes I and II, Fatigue Fract. Eng. Mater. Struct., 8 (1985) 315-325, https://doi.org/10.1111/j.1460-2695.1985.tb00430.x. [18] L. Pook, The fatigue crack direction and threshold behaviour of mild steel under mixed mode I and III loading, Int. J. Fatigue, 7 (1985) 21-30, https://doi.org/10.1016/0142-1123(85)90004-0. [19] M. Louah, G. Pluvinage, A. Bia, Mixed mode fatigue crack growth using the Brasilian disc, Virginia Univ, Fatigue 87, 2 (1987), [20] H. Nayeb-Hashemi, S. Hwang, P. Poles, Crack closure phenomena in modes I and II interactions, Fatigue'87., 2 (1987) 979-996, [21] T. Hyde, A. Chambers, A compact mixed-mode (cmm) fracture specimen, J. Strain Anal. Eng. Des., 23 (1988) 61-66, https://doi.org/10.1243/03093247V232061. [22] M. Brown, Analysis and design methods in multiaxial fatigue, in: Advances In Fatigue Science and Technology, Springer, 1989, pp. 387-401. [23] C. Wang, S. Wang, Modified Generalized Maximum Tangential Stress Criterion for Simulation of Crack Propagation and Its Application in Discontinuous Deformation Analysis, Eng. Fract. Mech., 259 (2022) 108159, https://doi.org/10.1016/j.engfracmech.2021.108159. [24] M. Eftekhari, C. Xu, Evaluating MTS criterion in predicting mixed-mode crack extension under different loading conditions, Fatigue Fract. Eng. Mater. Struct., 46 (2023) 96-110, https://doi.org/10.1111/ffe.13850. [25] K. Tanaka, Fatigue crack propagation from a crack inclined to the cyclic tensile axis, Eng. Fract. Mech., 6 (1974) 493-507, https://doi.org/10.1016/0013-7944(74)90007-1. [26] K. Tateishi, T. Hanji, Low cycle fatigue strength of butt-welded steel joint by means of new testing system with image technique, Int. J. Fatigue, 26 (2004) 1349-1356, https://doi.org/10.1016/j.ijfatigue.2004.03.016. [27] K. Tateishi, T. Hanji, K. Minami, A prediction model for extremely low cycle fatigue strength of structural steel, Int. J. Fatigue, 29 (2007) 887-896, https://doi.org/10.1016/j.ijfatigue.2006.08.001. [28] S. Li, X. Xie, C. Cheng, Q. Tian, A modified Coffin-Manson model for ultra-low cycle fatigue fracture of structural steels considering the effect of stress triaxiality, Eng. Fract. Mech., 237 (2020) 107223, https://doi.org/10.1016/j.engfracmech.2020.107223. [29] Y. Zhang, L. Gao, C. Wang, A Prediction Model for Low Cycle Fatigue Crack Initiation under Axial Loading in: 13th International Conference on Fracture 2013. [30] D.F. Socie, Fatigue-life prediction using local stress-strain concepts, Exp. Mech., 17 (1977) 50-56, https://doi.org/10.1007/BF02326426. [31] M. Benedetti, C. Menapace, V. Fontanari, C. Santus, On the variability in static and cyclic mechanical properties of extruded 7075-T6 aluminum alloy, Fatigue Fract. Eng. Mater. Struct., 44 (2021) 2975-2989, https://doi.org/10.1111/ffe.13530. [32] K. Tahmasbi, F. Alharthi, G. Webster, M. Haghshenas, Dynamic frequency-dependent fatigue damage in metals: A state-of-the-art review, Forces Mech., 10 (2023) 100167, https://doi.org/10.1016/j.finmec.2023.100167. [33] H. Kuhn, D. Medlin, ASM Handbook. Volume 8: Mechanical Testing and Evaluation, ASM International, Member/Customer Service Center, Materials Park, OH 44073-0002, USA, 2000. 998, (2000) 1832, https://doi.org/10.31399/asm.hb.v08.9781627081764. [34] L. Fu, H. Duan, H. Li, L. Lin, Q. Wang, J. Yao, Y. Luo, Low-cycle fatigue behavior of 7075-T6 aluminum alloy at different strain amplitudes, Mater. Express, 10 (2020) 942-947, https://doi.org/10.1166/mex.2020.1696. [35] S. Hassanifard, H. Mousavi, A. Varvani-Farahani, The influence of low-plasticity burnishing process on the fatigue life of friction-stir-processed Al 7075-T6 samples, Fatigue Fract. Eng. Mater. Struct., 42 (2019) 764-772, https://doi.org/10.1111/ffe.12950.
This study presents the effects of the geometry of the notches on the fatigue life, crack initiation, and growth in mixed mode and first mode of the fracture. For this purpose, some samples were tested with U-shaped notches with different radii and depths and various orientations with respect to the loading directions under fatigue loads. Using the fatigue crack growth rates, the Paris law coefficients were obtained for the used material in different conditions. It was shown that these coefficients are independent of the geometry of the samples. Fatigue crack growth behaviors in the mixed mode tests were also in good agreement with the result of the numerical simulations. Predictions of the maximum tangential stress criterion and numerical simulation for the position of the crack initiation on the notch root were compared with the tested observations, which showed good agreement. The fatigue life of the test samples was compared with the analytical results provided by the Manson-Coffin law. It was shown that a 25% decrease in notch depth increases the fatigue life by 3 times, also, an increase of 0.5 mm in the notch radius increases the fatigue life by 40%. Finally, the fracture surface of the samples was checked using an optical microscope. This study showed that the fracture surfaces have one or two lateral shear lips and plane stress conditions were established. REFERENCES [1] X.-L. Zheng, Modelling fatigue crack initiation life, Int. J. Fatigue, 15 (1993) 461-466, https://doi.org/10.1016/0142-1123(93)90257-Q. [2] M. De Freitas, L. Reis, B. Li, Evaluation of small crack growth models for notched specimen under axial/torsional fatigue loading, Facta universitatis-series: Mechanics, Automatic Control and Robotics, 3 (2003) 657-669, [3] H. Zhang, A. Fatemi, Short fatigue crack growth from a blunt notch in plate specimens, Int. J. Fract., 170 (2011) 1-11, https://doi.org/10.1007/s10704-011-9597-7. [4] Z. Zhang, Q. Sun, C. Li, Y. Qiao, D. Zhang, A New Three-Parameter Model for Predicting Fatigue Crack Initiation Life, J. Mater. Eng. Perform., 20 (2011) 169-176, https://doi.org/10.1007/s11665-010-9667-4. [5] A. Carpinteri, M. Paggi, The effect of crack size and specimen size on the relation between the Paris and Wöhler curves, Meccanica, 49 (2014) 765-773, https://doi.org/10.1007/s11012-014-9908-y. [6] R. Branco, J. Costa, F. Antunes, Fatigue behaviour and life prediction of lateral notched round bars under bending–torsion loading, Eng. Fract. Mech., 119 (2014) 66-84, https://doi.org/10.1016/j.engfracmech.2014.02.009. [7] F. Gomez, G. Guinea, M. Elices, Failure criteria for linear elastic materials with U-notches, Int. J. Fract., 141 (2006) 99-113, https://doi.org/10.1007/s10704-006-0066-7. [8] M. Benedetti, M. Beghini, L. Bertini, V. Fontanari, Experimental investigation on the propagation of fatigue cracks emanating from sharp notches, Meccanica, 43 (2008) 201-210, https://doi.org/10.1007/s11012-008-9129-3. [9] A. Akhavan Safar, A. Vrdi, M. Zorofi, Numerical and analytical investigation of the fatigue life of the notched sample and its comparison with the experimental results, in: 16th Annual Conference on Mechanical Engineering, Kerman, Iran, 2008. [10] Y. Hu, Z. Hu, S. Cao, Theoretical study on Manson-Coffin equation for physically short cracks and lifetime prediction, Sci. China Technol. Sci., 55 (2012) 34-42, https://doi.org/10.1007/s11431-011-4581-z. [11] Y. Li, H. Wang, D. Gong, The interrelation of the parameters in the Paris equation of fatigue crack growth, Eng. Fract. Mech., 96 (2012) 500-509, https://doi.org/10.1016/j.engfracmech.2012.08.016. [12] F. Gómez, M. Elices, F. Berto, P. Lazzarin, A generalised notch stress intensity factor for U-notched components loaded under mixed mode, Eng. Fract. Mech., 75 (2008) 4819-4833, https://doi.org/10.1016/j.engfracmech.2008.07.001. [13] S. Iida, A.S. Kobayashi, Crack-propagation rate in 7075-T6 plates under cyclic tensile and transverse shear loadings, J. Fluids Eng., 91 (1969) 764-769, https://doi.org/10.1115/1.3571219. [14] J. Qian, A. Fatemi, Mixed mode fatigue crack growth: a literature survey, Eng. Fract. Mech., 55 (1996) 969-990, https://doi.org/10.1016/S0013-7944(96)00071-9. [15] F. Erdogan, G. Sih, On the crack extension in plates under plane loading and transverse shear, J. Fluids Eng., 85 (1963) 519-525, https://doi.org/10.1115/1.3656897. [16] E.E. Gdoutos, Problems of mixed mode crack propagation, (1984), [17] A.T. Yokobori, T. Yokobori, K. Sato, K. Syoji, Fatigue crack growth under mixed modes I and II, Fatigue Fract. Eng. Mater. Struct., 8 (1985) 315-325, https://doi.org/10.1111/j.1460-2695.1985.tb00430.x. [18] L. Pook, The fatigue crack direction and threshold behaviour of mild steel under mixed mode I and III loading, Int. J. Fatigue, 7 (1985) 21-30, https://doi.org/10.1016/0142-1123(85)90004-0. [19] M. Louah, G. Pluvinage, A. Bia, Mixed mode fatigue crack growth using the Brasilian disc, Virginia Univ, Fatigue 87, 2 (1987), [20] H. Nayeb-Hashemi, S. Hwang, P. Poles, Crack closure phenomena in modes I and II interactions, Fatigue'87., 2 (1987) 979-996, [21] T. Hyde, A. Chambers, A compact mixed-mode (cmm) fracture specimen, J. Strain Anal. Eng. Des., 23 (1988) 61-66, https://doi.org/10.1243/03093247V232061. [22] M. Brown, Analysis and design methods in multiaxial fatigue, in: Advances In Fatigue Science and Technology, Springer, 1989, pp. 387-401. [23] C. Wang, S. Wang, Modified Generalized Maximum Tangential Stress Criterion for Simulation of Crack Propagation and Its Application in Discontinuous Deformation Analysis, Eng. Fract. Mech., 259 (2022) 108159, https://doi.org/10.1016/j.engfracmech.2021.108159. [24] M. Eftekhari, C. Xu, Evaluating MTS criterion in predicting mixed-mode crack extension under different loading conditions, Fatigue Fract. Eng. Mater. Struct., 46 (2023) 96-110, https://doi.org/10.1111/ffe.13850. [25] K. Tanaka, Fatigue crack propagation from a crack inclined to the cyclic tensile axis, Eng. Fract. Mech., 6 (1974) 493-507, https://doi.org/10.1016/0013-7944(74)90007-1. [26] K. Tateishi, T. Hanji, Low cycle fatigue strength of butt-welded steel joint by means of new testing system with image technique, Int. J. Fatigue, 26 (2004) 1349-1356, https://doi.org/10.1016/j.ijfatigue.2004.03.016. [27] K. Tateishi, T. Hanji, K. Minami, A prediction model for extremely low cycle fatigue strength of structural steel, Int. J. Fatigue, 29 (2007) 887-896, https://doi.org/10.1016/j.ijfatigue.2006.08.001. [28] S. Li, X. Xie, C. Cheng, Q. Tian, A modified Coffin-Manson model for ultra-low cycle fatigue fracture of structural steels considering the effect of stress triaxiality, Eng. Fract. Mech., 237 (2020) 107223, https://doi.org/10.1016/j.engfracmech.2020.107223. [29] Y. Zhang, L. Gao, C. Wang, A Prediction Model for Low Cycle Fatigue Crack Initiation under Axial Loading in: 13th International Conference on Fracture 2013. [30] D.F. Socie, Fatigue-life prediction using local stress-strain concepts, Exp. Mech., 17 (1977) 50-56, https://doi.org/10.1007/BF02326426. [31] M. Benedetti, C. Menapace, V. Fontanari, C. Santus, On the variability in static and cyclic mechanical properties of extruded 7075-T6 aluminum alloy, Fatigue Fract. Eng. Mater. Struct., 44 (2021) 2975-2989, https://doi.org/10.1111/ffe.13530. [32] K. Tahmasbi, F. Alharthi, G. Webster, M. Haghshenas, Dynamic frequency-dependent fatigue damage in metals: A state-of-the-art review, Forces Mech., 10 (2023) 100167, https://doi.org/10.1016/j.finmec.2023.100167. [33] H. Kuhn, D. Medlin, ASM Handbook. Volume 8: Mechanical Testing and Evaluation, ASM International, Member/Customer Service Center, Materials Park, OH 44073-0002, USA, 2000. 998, (2000) 1832, https://doi.org/10.31399/asm.hb.v08.9781627081764. [34] L. Fu, H. Duan, H. Li, L. Lin, Q. Wang, J. Yao, Y. Luo, Low-cycle fatigue behavior of 7075-T6 aluminum alloy at different strain amplitudes, Mater. Express, 10 (2020) 942-947, https://doi.org/10.1166/mex.2020.1696. [35] S. Hassanifard, H. Mousavi, A. Varvani-Farahani, The influence of low-plasticity burnishing process on the fatigue life of friction-stir-processed Al 7075-T6 samples, Fatigue Fract. Eng. Mater. Struct., 42 (2019) 764-772, https://doi.org/10.1111/ffe.12950.
The present study evaluated the ratcheting response of notched and press-fitted Al 7075-T6 specimens under stress-controlled asymmetric cycles. The degree of the interference fit (DIF) directly influenced the magnitude and the rate of progressive plastic strain at the notch edge region. Local ratcheting at the hole–pin interference region was analyzed by means of two kinematic-hardening rules—the Ahmadzadeh–Varvani (A–V) rule and the Chaboche rule—coupled with the Neuber rule. Ratcheting strains at the notch root of aluminum samples with DIF = 0 (non-press-fitting samples) were measured and found to be the highest in magnitude. For the press-fitted samples, however, ratcheting strains dropped noticeably as the DIF increased from 1% to 2%. The press-fitting process plastically deformed the perimeter edges of the notches and improved the materials strength locally at the notch edges, resulting in better resistance against ratcheting progress. Local ratcheting strains at distances of 0.5, 1.3, and 3.0 mm from the notch roots were predicted for both pinned and unpinned samples via the hardening rules and were compared with those of measured ratcheting values. The ratcheting curves predicted by means of the A-V and Chaboche hardening rules closely agreed with the experimental data. The predicted ratcheting curves were positioned, respectively, above and below the measured ratcheting data.
The effect of specimen orientation on the fatigue properties of extruded Al–Zn–Mg–Cu alloy was investigated, and the relationship between tensile properties and fatigue strength was established. The results show that the fatigue properties of specimens vary largely with the orientation. The specimens with 0° orientation (relative to extrusion direction) have the highest fatigue strength, i.e. 301.3 MPa, whereas the fatigue strength of specimens with 45°and 90° orientation was reduced by 13.3% and 33.5%, respectively. The fatigue strength is linearly proportional to the elongation. It was found that the crack propagation modes vary with specimen orientation, a result of the grain orientation and intergranular coarse second phase particles, leading to the difference in fatigue lives. In addition, Basquin equations for specimens in the three directions were proposed for fatigue life prediction.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.