A method to predict fatigue crack initiation in metals using dislocation dynamics

References

Abdel-Raouf H, Plumtree A, Topper TH. Temperature and strain rate dependence of cyclic deformation response and damage accumulation in OFHC copper and 304 stainless steel. Metall Trans 1974; 5: 267–277.10.1007/BF02642951Suche in Google Scholar

Amodeo RJ, Ghoniem NM. Dislocation dynamics. II. Applications to the formation of persistent slip bands, planar arrays, and dislocation cells. Phys Rev B 1990; 41: 6968–6976.10.1103/PhysRevB.41.6968Suche in Google Scholar

Antonopoulos JG, Brown LM, Winter AT. Vacancy dipoles in fatigued copper. Philos Mag 1976; 34: 549–563.10.1080/14786437608223793Suche in Google Scholar

Arsenlis A, Cai W, Tang M, Rhee M, Oppelstrup T, Hommes G, Pierce TG, Bulatov VV. Enabling strain hardening simulations with dislocation dynamics. Modell Simul Mater Sci Eng 2007; 15: 553–595.10.1088/0965-0393/15/6/001Suche in Google Scholar

Arsenlis A, Aubry S, Bulatov V, Cai W, Hommes G, Oppelstrup T, Pierce T, Rhee T, Tang M. ParaDiS User’s Guide – Version 2.5.1 – public. Lawrence Livermore National Laboratory, 2011.Suche in Google Scholar

Basinski ZS, Basinski SJ. Fundamental aspects of low amplitude cyclic deformation in face-centred cubic crystals. Prog Mater Sci 1992; 36: 89–148.10.1016/0079-6425(92)90006-SSuche in Google Scholar

Benzerga AA, Bréchet Y, Needleman A, Van der Giessen E. Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics. Modell Simul Mater Sci Eng 2004; 12: 159–196.10.1088/0965-0393/12/1/014Suche in Google Scholar

Bhat SP, Fine ME. Fatigue crack nucleation in iron and a high strength low alloy steel. Mater Sci Eng A 2001; 314: 90–96.10.1016/S0921-5093(00)01918-3Suche in Google Scholar

Brinckmann S. On the role of dislocation in fatigue crack initiation, PhD thesis, University of Groningen, 2005.Suche in Google Scholar

Bulatov V, Cai W. Computer simulation of dislocations. Oxford: Oxford University Press, 2006.10.1093/oso/9780198526148.001.0001Suche in Google Scholar

Bulatov V, Cai W, Fier J, Hiratani M, Hommes G, Pierce T, Tang M, Rhee M, Yates K, Arsenlis T. Scalable line dynamics in paradis. In: Proceedings of the ACM/IEEE Super Computing 2004 Conference, Pittsburgh, 2004.Suche in Google Scholar

Cai W, Arsenlis A, Weinberger CR, Bulatov V. A non-singular continuum theory of dislocations. J Mech Phys Solids 2006; 54: 561–587.10.1016/j.jmps.2005.09.005Suche in Google Scholar

Dawson I, Bristowe PD, Lee MH, Payne MC, Segall MD, White JA. First-principles study of a tilt grain boundary in rutile. Phys Rev B 1996; 54: 13727–13733.10.1103/PhysRevB.54.13727Suche in Google Scholar PubMed

Déprés C, Robertson CF, Fivel MC. Low-strain fatigue in AISI 316L steel surface grains: a three-dimensional discrete dislocation dynamics modelling of the early cycles I. Dislocation microstructures and mechanical behaviour. Philos Mag 2004; 84: 2257–2275.10.1080/14786430410001690051Suche in Google Scholar

Déprés C, Reddy GVP, Robertson C, Fivel M. An extensive 3D dislocation dynamics investigation of stage-I fatigue crack propagation. Philos Mag 2014; 94: 4115–4137.10.1080/14786435.2014.978830Suche in Google Scholar

Deshpande VS, Needleman A, Van der Giessen E. Discrete dislocation plasticity modeling of short cracks in single crystals. Acta Mater 2003; 51: 1–15.10.1016/S1359-6454(02)00401-9Suche in Google Scholar

Eckert R, Laird C, Bassani J. Mechanism of fracture produced by fatigue cycling with a positive mean stress in copper. Mater Sci Eng 1987; 91: 81–88.10.1016/0025-5416(87)90285-0Suche in Google Scholar

Escaig B. Sur le glissement dévié des dislocations dans la structure cubique à faces centrées. Journal des Physique 1968; 29: 225–239.10.1051/jphys:01968002902-3022500Suche in Google Scholar

Essmann U, Mughrabi H. Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities. Philos Mag A 1979; 40: 731–756.10.1080/01418617908234871Suche in Google Scholar

Essmann U, Gösele UG, Mughrabi H. A model of extrusions and intrusions in fatigued metals I. Point-defect production and the growth of extrusions. Philos Mag A 1981; 44: 405–426.10.1080/01418618108239541Suche in Google Scholar

Fine ME, Bhat SP. A model of fatigue crack nucleation in single crystal iron and copper. Mater Sci Eng A 2007; 468–470: 64–69.10.1016/j.msea.2006.09.127Suche in Google Scholar

Finney JM, Laird C. Strain localization in cyclic deformation of copper single crystals. Philos Mag 1975; 31: 339–366.10.1080/14786437508228937Suche in Google Scholar

Fleischer RL. Cross slip of extended dislocations. Acta Metall 1959; 7: 134–135.10.1016/0001-6160(59)90122-1Suche in Google Scholar

Forsyth PJE. Exudation of material from slip bands at the surface of fatigued crystals of an aluminium-copper alloy. Nature 1953; 171: 172–173.10.1038/171172a0Suche in Google Scholar

Ganesan S, Sundararaghavan V. An atomistically-informed energy based theory of environmentally assisted failure. Corros Rev 2015; 33: 455–465.10.1515/corrrev-2015-0056Suche in Google Scholar

Gardner DJ, Woodward CS, Raynolds DR, Hommes G, Aubry S, Arsenlis A. Implicit integration methods for dislocation dynamics. Modell Simul Mater Sci Eng 2015; 23: 1–31.10.1088/0965-0393/23/2/025006Suche in Google Scholar

Gertsman VY, Hoffmann M, Gleiter H, Birringer R. The study of grain size dependence of yield stress of copper for a wide grain size range. Acta Metall Mater 1994; 42: 3539–3544.10.1016/0956-7151(94)90486-3Suche in Google Scholar

Henager Jr CH., Hoagland RG. Dislocation and stacking fault core fields in FCC metals. Philos Mag 2005; 85: 4477–4508.10.1080/14786430500300181Suche in Google Scholar

Huang HL, Ho NJ. The study of fatigue in polycrystalline copper under various strain amplitude at stage I: crack initiation and propagation. Mater Sci Eng A 2000; 293: 7–14.10.1016/S0921-5093(00)01246-6Suche in Google Scholar

Huang E-W, Barabash RI, Wang Y, Clausen B, Li L, Liaw PK, Ice GE, Ren Y, Choo H, Pike LM, Klarstrom DL. Plastic behavior of a nickel-based alloy under monotonic-tension and low-cycle-fatigue loading. Int J Plast 2008; 24: 1440–1456.10.1016/j.ijplas.2007.10.001Suche in Google Scholar

Huang M, Tong J, Li Z. A study of fatigue crack tip characteristics using discrete dislocation dynamics. Int J Plast 2014; 54: 229–246.10.1016/j.ijplas.2013.08.016Suche in Google Scholar

Jelke BE. Low cycle fatigue and crack growth in oxygen free high conductivity copper, Masters thesis, University of Illinois at Urbana-Champaign, 1991.Suche in Google Scholar

Joseph DS, Chakraborty P, Ghosh S. Wavelet transformation based multi-time scaling method for crystal plasticity FE simulations under cyclic loading. Comput Method Appl Mech Eng 2010; 199: 2177–2194.10.1016/j.cma.2010.03.020Suche in Google Scholar

Kim WH, Laird C. Crack nucleation and stage i propagation in high strain fatigue-I. Microscopic and interferometric observations. Acta Metall 1978; 26: 777–787.10.1016/0001-6160(78)90028-7Suche in Google Scholar

Kwadjo R, Brown LM. Cyclic hardening of magnesium single crystals. Acta Metall 1978; 26: 1117–1132.10.1016/0001-6160(78)90139-6Suche in Google Scholar

Kwon IB, Fine ME, Weertman J. Fatigue damage in copper single crystals at room and cryogenic temperatures. Acta Metall 1989; 37: 2937–2946.10.1016/0001-6160(89)90328-3Suche in Google Scholar

Li YS, Zhang Y, Tao NR, Lu K. Effect of the zener-hollomon parameter on the microstructures and mechanical properties of Cu subjected to plastic deformation. Acta Mater 2009; 57: 761–772.10.1016/j.actamat.2008.10.021Suche in Google Scholar

Li L, Shen L, Proust G. Fatigue crack initiation life prediction for aluminium alloy 7075 using crystal plsticity finite element simulations. Mech Mater 2015; 81: 84–93.10.1016/j.mechmat.2014.11.004Suche in Google Scholar

Lukáš P, Klesnil M, Krejčí J. Dislocations and persistent slip bands in copper single crystals fatigued at low stress amplitude. Phys Status Solidi B 1968; 27: 545–558.10.1002/pssb.19680270212Suche in Google Scholar

McLean D. Grain boundaries in metals. Oxford: Clarendon Press, 1957.Suche in Google Scholar

Mott NF. A theory of the origin of fatigue cracks. Acta Metall 1958; 6: 195–197.10.1016/0001-6160(58)90007-5Suche in Google Scholar

Mughrabi H. The cyclic hardening and saturation behaviour of copper single crystals. Mater Sci Eng 1978; 33: 207–223.10.1016/0025-5416(78)90174-XSuche in Google Scholar

Mughrabi H, Wang R. Cyclic strain localization and fatigue crack initiation in persistent slip bands in face-centred cubic metals and single-phase alloys. In: Sih GC, Zorski H, editors. Defects and fracture. Netherlands: Springer, 1982: 15–28.10.1007/978-94-011-7520-3_2Suche in Google Scholar

Mura T. A theory of fatigue crack initiation. Mater Sci Eng A 1994; 176: 61–70.10.1016/0921-5093(94)90959-8Suche in Google Scholar

Mura T, Nakasone Y. A theory of fatigue crack initiation in solids. J Appl Mech 1990; 57: 1–6.10.1115/1.2888304Suche in Google Scholar

Naderi M, Amiri M, Iyyer N, Kang P, Phan N. Prediction of fatigue crack nucleation life in polycrystalline AA7075-T651 using energy approach. Fatigue Fract Eng Mater Struct 2016; 39: 167–179.10.1111/ffe.12346Suche in Google Scholar

Orowan E. Energy of fracture. Weld J. Res Supplement 1955; 20: 157–160.Suche in Google Scholar

Polák J. Resistivity of fatigued copper single crystals. Mater Sci Eng 1987; 89: 35–43.10.1016/0025-5416(87)90247-3Suche in Google Scholar

Sack RA. Extension of Griffith’s theory of rupture to three dimensions. Proc Phys Soc 1946; 58: 729.10.1088/0959-5309/58/6/312Suche in Google Scholar

Sanford RJ. Principles of fracture mechanics. Upper Saddle River, NJ: Pearson Education, Inc., 2002.Suche in Google Scholar

Sangid MD. The physics of fatigue crack initiation. Int J Fatigue 2013; 57: 58–72.10.1016/j.ijfatigue.2012.10.009Suche in Google Scholar

Sangid MD, Maier HJ, Sehitoglu H. A physically based fatigue model for prediction of crack initiation from persistent slip bands in polycrystals. Acta Mater 2011; 59: 328–341.10.1016/j.actamat.2010.09.036Suche in Google Scholar

Shin CS, Robertson CF, Fivel MC. Fatigue in precipitation hardened materials: a three-dimensional discrete dislocation dynamics modelling of the early cycles. Philos Mag 2007; 87: 3657–3669.10.1080/14786430701393159Suche in Google Scholar

Singhal A, Stubbins JF, Singh BN, Garner FA. Fusion reactor materials room temperature fatigue behavior of OFHC copper and CuAl25 specimens of two sizes. J Nucl Mater 1994; 212: 1307–1312.10.1016/0022-3115(94)91041-3Suche in Google Scholar

Sneddon IN. A note on the problem of the penny-shaped crack. Math Proc Cambridge Philos Soc 1965; 61; 609–611.10.1017/S0305004100004175Suche in Google Scholar

Stevenson R, Vander Sande JB. The cyclic deformation of magnesium single crystals. Acta Metall 1974; 22: 1079–1086.10.1016/0001-6160(74)90063-7Suche in Google Scholar

Tanaka K, Mura T. A dislocation model for fatigue crack initiation. J Appl Mech 1981; 48: 97–103.10.1115/1.3157599Suche in Google Scholar

Vasudevan AK. Applied stress affecting the environmentally assisted cracking. Metall Mater Trans A 2013; 44: 1254–1267.10.1007/s11661-012-1585-7Suche in Google Scholar

Venkataraman G, Chung YW, Mura T. Application of minimum energy formalism in a multiple slip band model for fatigue – I. Calculation of slip band spacings. Acta Metall Mater 1991; 39: 2621–2629.10.1016/0956-7151(91)90078-FSuche in Google Scholar

Winter AT. A model for the fatigue of copper at low plastic strain amplitudes. Philos Mag 1974; 30: 719–738.10.1080/14786437408207230Suche in Google Scholar

Yumen L, Huijiu Z. Dislocation structures in a ferrite steel. Mater Sci Eng 1986; 81: 451–455.10.1016/0025-5416(86)90282-XSuche in Google Scholar

Zbib HM. Introduction to discrete dislocation dynamics. In: Carlo S, Sebastian S, editors. Generalized continua and dislocation theory, Volume 537 of CISM Courses and Lectures. Vienna: Springer, 2012: 289–317.10.1007/978-3-7091-1222-9_4Suche in Google Scholar

Zhang ZF, Gu HC, Tan XL. Low-cycle fatigue behaviors of commercial-purity titanium. Mater Sci Eng A 1998; 252: 85–92.10.1016/S0921-5093(98)00650-9Suche in Google Scholar