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Erschienen in: Tribology Letters 1/2013

01.10.2013 | Original Paper

Numerical Estimation of Fretting Fatigue Lifetime Using Damage and Fracture Mechanics

verfasst von: Reza Hojjati-Talemi, Magd Abdel Wahab, Eugenio Giner, Mohamad Sabsabi

Erschienen in: Tribology Letters | Ausgabe 1/2013

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Abstract

Fretting fatigue is a complex tribological phenomenon that can cause premature failure of connected components that have small relative oscillatory movement. The fraction of fretting fatigue lifetime spent in crack initiation and in crack propagation depends on many factors, e.g., contact stresses, amount of slip, frequency, environmental conditions, etc., and varies from one application to another. Therefore, both crack initiation and propagation phases are important in analysing fretting fatigue. In this investigation, a numerical approach is used to predict these two portions and estimate fretting fatigue failure lifetime under a conformal contact configuration. For this purpose, an uncoupled damage evolution law based on principles of continuum damage mechanics is developed for modelling crack initiation. The extended finite element method approach is used for calculating crack propagation lifetimes. The estimated results are validated with previously reported experimental data and compared with other available methods in the literature.

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Literatur
1.
Zurück zum Zitat Hills, D.A., Nowell, D.: Mechanics of Fretting Fatigue. Solid Mechanics and its Applications vol. 30. Kluwer Academic Publishers, Dordrecht (1994) Hills, D.A., Nowell, D.: Mechanics of Fretting Fatigue. Solid Mechanics and its Applications vol. 30. Kluwer Academic Publishers, Dordrecht (1994)
2.
Zurück zum Zitat Smith, K.N., Watson, P., Topper, T.H.: A stress-strain function for the fatigue of metals. J Mater. (JMSLA) 4, 767–778 (1970) Smith, K.N., Watson, P., Topper, T.H.: A stress-strain function for the fatigue of metals. J Mater. (JMSLA) 4, 767–778 (1970)
3.
Zurück zum Zitat Szolwinski, M.P., Farris, T.N.: Observation, analysis and prediction of fretting fatigue in 2024-T351 aluminum alloy. Wear 221(1), 24–36 (1998)CrossRef Szolwinski, M.P., Farris, T.N.: Observation, analysis and prediction of fretting fatigue in 2024-T351 aluminum alloy. Wear 221(1), 24–36 (1998)CrossRef
4.
Zurück zum Zitat Fatemi, A., Socie, D.F.: A critical plane approach to multiaxial fatigue damage including out-of-phase loading. Fatigue Fract. Eng. Mater. Struct. 11(3), 149–165 (1988)CrossRef Fatemi, A., Socie, D.F.: A critical plane approach to multiaxial fatigue damage including out-of-phase loading. Fatigue Fract. Eng. Mater. Struct. 11(3), 149–165 (1988)CrossRef
5.
Zurück zum Zitat Navarro, C., Muñoz, S., Domínguez, J.: On the use of multiaxial fatigue criteria for fretting fatigue life assessment. Int. J. Fatigue 30(1), 32–44 (2008)CrossRef Navarro, C., Muñoz, S., Domínguez, J.: On the use of multiaxial fatigue criteria for fretting fatigue life assessment. Int. J. Fatigue 30(1), 32–44 (2008)CrossRef
6.
Zurück zum Zitat Giner, E., Tur, M., Vercher, A., Fuenmayor, F.J.: Numerical modelling of crack-contact interaction in 2D incomplete fretting contacts using X-FEM. Tribol. Int. 42(9), 1269–1275 (2009)CrossRef Giner, E., Tur, M., Vercher, A., Fuenmayor, F.J.: Numerical modelling of crack-contact interaction in 2D incomplete fretting contacts using X-FEM. Tribol. Int. 42(9), 1269–1275 (2009)CrossRef
7.
Zurück zum Zitat Giner, E., Navarro, C., Sabsabi, M., Tur, M., Domínguez, J., Fuenmayor, F.J.: Fretting fatigue life prediction using the extended finite element method. Int. J. Mech. Sci. 53(3), 217–225 (2011)CrossRef Giner, E., Navarro, C., Sabsabi, M., Tur, M., Domínguez, J., Fuenmayor, F.J.: Fretting fatigue life prediction using the extended finite element method. Int. J. Mech. Sci. 53(3), 217–225 (2011)CrossRef
8.
Zurück zum Zitat McDiarmid, D.L.: A general criterion for high cycle multiaxial fatigue failure. Fatigue Fract. Eng. Mater. Struct. 14(4), 429–453 (1991)CrossRef McDiarmid, D.L.: A general criterion for high cycle multiaxial fatigue failure. Fatigue Fract. Eng. Mater. Struct. 14(4), 429–453 (1991)CrossRef
9.
Zurück zum Zitat Findley, W.N., Brown University, Division of Engineering, United States, Office of Ordnance R.: A Theory for the Effect of Mean Stress on Fatigue of Metals Under Combined Torsion and Axial Load or Bending. Division of Engineering, Brown University, Providence, RI (1958) Findley, W.N., Brown University, Division of Engineering, United States, Office of Ordnance R.: A Theory for the Effect of Mean Stress on Fatigue of Metals Under Combined Torsion and Axial Load or Bending. Division of Engineering, Brown University, Providence, RI (1958)
10.
Zurück zum Zitat Lee, H., Jin, O., Mall, S.: Fretting fatigue behavior of Ti–6Al–4 V with dissimilar mating materials. Int. J. Fatigue 26(4), 393–402 (2004)CrossRef Lee, H., Jin, O., Mall, S.: Fretting fatigue behavior of Ti–6Al–4 V with dissimilar mating materials. Int. J. Fatigue 26(4), 393–402 (2004)CrossRef
11.
Zurück zum Zitat Murthy, H., Mseis, G., Farris, T.N.: Life estimation of Ti–6Al–4 V specimens subjected to fretting fatigue and effect of surface treatments. Tribol. Int. 42(9), 1304–1315 (2009)CrossRef Murthy, H., Mseis, G., Farris, T.N.: Life estimation of Ti–6Al–4 V specimens subjected to fretting fatigue and effect of surface treatments. Tribol. Int. 42(9), 1304–1315 (2009)CrossRef
12.
Zurück zum Zitat Crossland, B.: Effect of large hydrostatic pressures on torsional fatigue strength of an alloy steel. In: Proceedings of International Conference on Fatigue of Metals (1956) Crossland, B.: Effect of large hydrostatic pressures on torsional fatigue strength of an alloy steel. In: Proceedings of International Conference on Fatigue of Metals (1956)
13.
Zurück zum Zitat Quraishi, S.M., Khonsari, M.M., Baek, D.K.: A thermodynamic approach for predicting fretting fatigue life. Tribol. Lett. 19(3), 169–175 (2005)CrossRef Quraishi, S.M., Khonsari, M.M., Baek, D.K.: A thermodynamic approach for predicting fretting fatigue life. Tribol. Lett. 19(3), 169–175 (2005)CrossRef
14.
Zurück zum Zitat Aghdam, A.B., Beheshti, A., Khonsari, M.M.: On the fretting crack nucleation with provision for size effect. Tribol. Int. 47, 32–43 (2012)CrossRef Aghdam, A.B., Beheshti, A., Khonsari, M.M.: On the fretting crack nucleation with provision for size effect. Tribol. Int. 47, 32–43 (2012)CrossRef
15.
Zurück zum Zitat Zhang, T., McHugh, P.E., Leen, S.B.: Finite element implementation of multiaxial continuum damage mechanics for plain and fretting fatigue. Int. J. Fatigue 44, 260–272 (2012)CrossRef Zhang, T., McHugh, P.E., Leen, S.B.: Finite element implementation of multiaxial continuum damage mechanics for plain and fretting fatigue. Int. J. Fatigue 44, 260–272 (2012)CrossRef
16.
Zurück zum Zitat Hojjati-Talemi, R., Wahab, M.A.: Fretting fatigue crack initiation lifetime predictor tool: using damage mechanics approach. Tribol. Int. 60, 176–186 (2013)CrossRef Hojjati-Talemi, R., Wahab, M.A.: Fretting fatigue crack initiation lifetime predictor tool: using damage mechanics approach. Tribol. Int. 60, 176–186 (2013)CrossRef
17.
Zurück zum Zitat Rooke, D.P., Jones, D.A.: Stress intensity factors in fretting fatigue. J. Strain Anal. Eng. Des. 14(1), 1–6 (1979)CrossRef Rooke, D.P., Jones, D.A.: Stress intensity factors in fretting fatigue. J. Strain Anal. Eng. Des. 14(1), 1–6 (1979)CrossRef
18.
Zurück zum Zitat Kondoh, K., Mutoh, Y.: Crack behavior in the early stage of fretting fatigue fracture. In: Hoeppner, D.W., Chandrasekaran, V., Elliott, C.B. (eds) Fretinge Fatigue: Current Technology and Practices, ASTM STP 1367. American society for Testing and Materials, West Conshohocken, PA (2000) Kondoh, K., Mutoh, Y.: Crack behavior in the early stage of fretting fatigue fracture. In: Hoeppner, D.W., Chandrasekaran, V., Elliott, C.B. (eds) Fretinge Fatigue: Current Technology and Practices, ASTM STP 1367. American society for Testing and Materials, West Conshohocken, PA (2000)
19.
Zurück zum Zitat Nicholas, T., Hutson, A., John, R., Olson, S.: A fracture mechanics methodology assessment for fretting fatigue. Int. J. Fatigue 25(9–11), 1069–1077 (2003)CrossRef Nicholas, T., Hutson, A., John, R., Olson, S.: A fracture mechanics methodology assessment for fretting fatigue. Int. J. Fatigue 25(9–11), 1069–1077 (2003)CrossRef
20.
Zurück zum Zitat Muñoz, S., Navarro, C., Domínguez, J.: Application of fracture mechanics to estimate fretting fatigue endurance curves. Eng. Fract. Mech. 74(14), 2168–2186 (2007)CrossRef Muñoz, S., Navarro, C., Domínguez, J.: Application of fracture mechanics to estimate fretting fatigue endurance curves. Eng. Fract. Mech. 74(14), 2168–2186 (2007)CrossRef
21.
Zurück zum Zitat Navarro, C., Muñoz, S., Domínguez, J.: Influence of the initiation length in predictions of life in Fretting Fatigue. Strain 47, e283–e291 (2011)CrossRef Navarro, C., Muñoz, S., Domínguez, J.: Influence of the initiation length in predictions of life in Fretting Fatigue. Strain 47, e283–e291 (2011)CrossRef
22.
Zurück zum Zitat Sabsabi, M., Giner, E., Fuenmayor, F.J.: Experimental fatigue testing of a fretting complete contact and numerical life correlation using X-FEM. Int. J. Fatigue 33(6), 811–822 (2011)CrossRef Sabsabi, M., Giner, E., Fuenmayor, F.J.: Experimental fatigue testing of a fretting complete contact and numerical life correlation using X-FEM. Int. J. Fatigue 33(6), 811–822 (2011)CrossRef
23.
Zurück zum Zitat Hojjati-Talemi, R., AbdelWahab, M., De Baets, P.: Numerical investigation into effect of contact geometry on fretting fatigue crack propagation lifetime. Tribol. Trans. 55(3), 365–375 (2012)CrossRef Hojjati-Talemi, R., AbdelWahab, M., De Baets, P.: Numerical investigation into effect of contact geometry on fretting fatigue crack propagation lifetime. Tribol. Trans. 55(3), 365–375 (2012)CrossRef
24.
Zurück zum Zitat Talemi, R.H., Wahab, M.A., Baets, P.D.: Numerical modelling of fretting fatigue. J. Phys: Conf. Ser. 305(1), 012061 (2011)CrossRef Talemi, R.H., Wahab, M.A., Baets, P.D.: Numerical modelling of fretting fatigue. J. Phys: Conf. Ser. 305(1), 012061 (2011)CrossRef
25.
Zurück zum Zitat Lemaitre, J.: Coupled elasto-plasticity and damage constitutive equations. Comput. Meth. Appl. Mech. Eng. 51(1–3), 31–49 (1985)CrossRef Lemaitre, J.: Coupled elasto-plasticity and damage constitutive equations. Comput. Meth. Appl. Mech. Eng. 51(1–3), 31–49 (1985)CrossRef
26.
Zurück zum Zitat Mutoh, Y., Xu, J.Q., Kondoh K.: Observations and analysis of fretting fatigue crack initiation and propagation. In: Mutoh, Y., Kinyon, S.E., Hoeppner, D.W. (eds) Fretting Fatigue: Advances In Basic Understanding And Applications. Stp, vol. 1425, pp. 61–75. ASTM International, West Conshohocken, PA (2003) Mutoh, Y., Xu, J.Q., Kondoh K.: Observations and analysis of fretting fatigue crack initiation and propagation. In: Mutoh, Y., Kinyon, S.E., Hoeppner, D.W. (eds) Fretting Fatigue: Advances In Basic Understanding And Applications. Stp, vol. 1425, pp. 61–75. ASTM International, West Conshohocken, PA (2003)
27.
Zurück zum Zitat Talemi, R.H., Wahab, M.A.: Finite element analysis of localized plasticity in Al 2024-T3 subjected to fretting fatigue. Tribol. Trans. 55(6), 805–814 (2012)CrossRef Talemi, R.H., Wahab, M.A.: Finite element analysis of localized plasticity in Al 2024-T3 subjected to fretting fatigue. Tribol. Trans. 55(6), 805–814 (2012)CrossRef
28.
Zurück zum Zitat Kindervater, C.M., Johnson, A., Kohlgrüber, D., Lützenburger, M.: Crash and High Velocity Impact Simulation Methodologies for Aircraft Structures. Structural Failure and Plasticity (IMPLAST 2000) IMPLAST (2000) Kindervater, C.M., Johnson, A., Kohlgrüber, D., Lützenburger, M.: Crash and High Velocity Impact Simulation Methodologies for Aircraft Structures. Structural Failure and Plasticity (IMPLAST 2000) IMPLAST (2000)
29.
Zurück zum Zitat Kachanov, L.M.: Time of the rupture process under creep conditions. Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk. 8, 26–31 (1958) Kachanov, L.M.: Time of the rupture process under creep conditions. Izv. Akad. Nauk SSSR, Otd. Tekh. Nauk. 8, 26–31 (1958)
30.
Zurück zum Zitat Lemaitre, J.: Formulation and identification of damage kinetic constitutive equations. In: Krajcinovic, D., Lemaitre J. (eds.) Continuum Damage Mechanics: Theory and Applications CISM Courses and Lectures No. 295, pp. 37–99. Springer, Wien (1987) Lemaitre, J.: Formulation and identification of damage kinetic constitutive equations. In: Krajcinovic, D., Lemaitre J. (eds.) Continuum Damage Mechanics: Theory and Applications CISM Courses and Lectures No. 295, pp. 37–99. Springer, Wien (1987)
31.
Zurück zum Zitat Lemaitre, J.: Engineering Damage Mechanics. Springer, The Netherlands (2005) Lemaitre, J.: Engineering Damage Mechanics. Springer, The Netherlands (2005)
32.
Zurück zum Zitat Lemaitre, J.: How to use damage mechanics. Nucl. Eng. Des. 80(2), 233–245 (1984)CrossRef Lemaitre, J.: How to use damage mechanics. Nucl. Eng. Des. 80(2), 233–245 (1984)CrossRef
33.
Zurück zum Zitat Marmi, A.K., Habraken, A.M., Duchene, L.: Multiaxial fatigue damage modelling at macro scale of Ti–6Al–4 V alloy. Int. J. Fatigue 31(11–12), 2031–2040 (2009)CrossRef Marmi, A.K., Habraken, A.M., Duchene, L.: Multiaxial fatigue damage modelling at macro scale of Ti–6Al–4 V alloy. Int. J. Fatigue 31(11–12), 2031–2040 (2009)CrossRef
34.
Zurück zum Zitat El Haddad, M.H., Dowling, N.E., Topper, T.H., Smith, K.N.: J integral applications for short fatigue cracks at notches. Int. J. Fract. 16(1), 15–30 (1980)CrossRef El Haddad, M.H., Dowling, N.E., Topper, T.H., Smith, K.N.: J integral applications for short fatigue cracks at notches. Int. J. Fract. 16(1), 15–30 (1980)CrossRef
35.
Zurück zum Zitat Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46(1), 131–150 (1999)CrossRef Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46(1), 131–150 (1999)CrossRef
36.
Zurück zum Zitat Belytschko, T., Black, T.: Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45(5), 601–620 (1999)CrossRef Belytschko, T., Black, T.: Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45(5), 601–620 (1999)CrossRef
37.
Zurück zum Zitat Melenk, J.M., Babuška, I.: The partition of unity finite element method: basic theory and applications. Comput. Meth. Appl. Mech. Eng. 139(1–4), 289–314 (1996)CrossRef Melenk, J.M., Babuška, I.: The partition of unity finite element method: basic theory and applications. Comput. Meth. Appl. Mech. Eng. 139(1–4), 289–314 (1996)CrossRef
38.
Zurück zum Zitat Giner, E., Sukumar, N., Denia, F.D., Fuenmayor, F.J.: Extended finite element method for fretting fatigue crack propagation. Int. J. Solids Struct. 45(22–23), 5675–5687 (2008)CrossRef Giner, E., Sukumar, N., Denia, F.D., Fuenmayor, F.J.: Extended finite element method for fretting fatigue crack propagation. Int. J. Solids Struct. 45(22–23), 5675–5687 (2008)CrossRef
39.
Zurück zum Zitat Lykins, C.D., Mall, S., Jain, V.K.: Combined experimental-numerical investigation of fretting fatigue crack initiation. Int. J. Fatigue 23(8), 703–711 (2001)CrossRef Lykins, C.D., Mall, S., Jain, V.K.: Combined experimental-numerical investigation of fretting fatigue crack initiation. Int. J. Fatigue 23(8), 703–711 (2001)CrossRef
40.
Zurück zum Zitat Navarro, C., Garcia, M., Dominguez, J.: A procedure for estimating the total life in fretting fatigue. Fatigue Fract. Eng. Mater. Struct. 26(5), 459–468 (2003)CrossRef Navarro, C., Garcia, M., Dominguez, J.: A procedure for estimating the total life in fretting fatigue. Fatigue Fract. Eng. Mater. Struct. 26(5), 459–468 (2003)CrossRef
41.
Zurück zum Zitat Giner, E., Hills, D.A., Fuenmayor, F.J.: Complete elastic contact subject to cyclic shear in partial slip. J. Eng. Mech.-ASCE 131(11), 1146–1156 (2005)CrossRef Giner, E., Hills, D.A., Fuenmayor, F.J.: Complete elastic contact subject to cyclic shear in partial slip. J. Eng. Mech.-ASCE 131(11), 1146–1156 (2005)CrossRef
Metadaten
Titel
Numerical Estimation of Fretting Fatigue Lifetime Using Damage and Fracture Mechanics
verfasst von
Reza Hojjati-Talemi
Magd Abdel Wahab
Eugenio Giner
Mohamad Sabsabi
Publikationsdatum
01.10.2013
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 1/2013
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-013-0189-8

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