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Fatigue Microcrack Nucleation Modeling: a Survey of the State of the Art


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DOI: https://doi.org/10.15866/ireme.v9i4.6231

Abstract


Many different approaches have been proposed for modeling of fatigue crack nucleation and microstructurally short fatigue crack propagation in polycrystalline metals. The mechanisms governing dislocations and slip at micro- and nanoscale have to be taken into account to be able to modify the microstructure of metals and develop materials with improved fatigue resistance. This paper reviews modeling approaches that take the microstructure into the consideration specifically from the fatigue crack nucleation point of view. Key concepts are explained, challenges described, and uncertainties discussed, followed by a comprehensive list of articles on the subject published mainly in the past decade.
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Keywords


Microstructure; Fatigue Crack Nucleation; Crystal Plasticity; Dislocation

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References


S. Suresh, Fatigue of Materials, Cambridge, 1998.
http://dx.doi.org/10.1017/cbo9780511806575

O. E. Dowling, Mechanical Behavior of Materials: Engineering Methods for Deformation, Fracture, and Fatigue, Pearson, 2013.
http://dx.doi.org/10.1016/s0142-1123(96)00087-4

J. Polak, Cyclic Plasticity and Low Cycle Fatigue Life of Metals, Elsevier, 1991.

R. I. Stephens, A. Fatemi, R. Stephens and H. O. Fuchs, Metal Fatigue in Engineering, Wiley, 2001.
http://dx.doi.org/10.1177/058310248201400807

J. A. Ewing and J. C. W. Humfrey, "The fracture of metals under repeated alternations of stress," Philos. T. R. Soc. Lond., vol. A200, pp. 241-50, 1903.

J. Schijve, Fatigue of Structures and Materials, Springer, 2009.
http://dx.doi.org/10.1007/978-1-4020-6808-9

M. Sauzay and P. Gilormini, "Influence of surface effects on fatigue microcracks nucleation," Theor. Appl. Fract. Mech., vol. 38, pp. 53-62, 2002.
http://dx.doi.org/10.1016/S0167-8442(02)00080-0

M. Sauzay and T. Jourdan, "Polycrystalline microstructure, cubic elasticity, and nucleation of high-cycle fatigue cracks," Int. J. Fracture, vol. 141, pp. 431-46, 2006.
http://dx.doi.org/10.1007/s10704-006-9005-x

Y. Murakami, Metal Fatigue: Effects of Small Defects and Nonmetallic Inclusions, Elsevier, 2002.
http://dx.doi.org/10.1016/b978-008044064-4/50006-2

R. Prasannavenkatesan, J. Zhang, D. L. McDowell, G. B. Olson and H. J. Jou, "3D modeling of subsurface fatigue crack nucleation potency of primary inclusions in heat treated and shot peened martensitic gear steels," Int. J. Fatigue, vol. 31, pp. 1176-89, 2009.
http://dx.doi.org/10.1016/j.ijfatigue.2008.12.001

J. Zhang, R. Prasannavenkatesan, M. M. Shenoy and D. L. McDowell, "Modeling fatigue crack nucleation at primary inclusions in carburized and shot-peened martensitic steel," Eng. Fract. Mech., vol. 76, pp. 315-34, 2009.
http://dx.doi.org/10.1016/j.engfracmech.2008.10.011

K. Kanazawa and S. Nishijima, "Fatigue fracture of low alloy steel at ultra-high-cycle region under elevated temperature condition," J. Soc. Mate. Sci., vol. 46, no. 12, pp. 1396-401, 1997.
http://dx.doi.org/10.2472/jsms.46.1396

S. Nishijima and K. Kanazawa, "Stepwise S–N curve and fish-eye failure in gigacycle fatigue," Fatigue Fract. Eng. Mater. Struct., vol. 22, no. 7, pp. 601-7, 1999.
http://dx.doi.org/10.1046/j.1460-2695.1999.00206.x

D. A. Hughes, N. Hansen and D. J. Bammann, "Geometrically necessary boundaries, incidental dislocation boundaries and geometrically necessary dislocations," Scripta Mater., vol. 48, pp. 147-53, 2003.
http://dx.doi.org/10.1016/s1359-6462(02)00358-5

A. Aboura, A. Seddak, J. D.Abascal, Effect of Microstructure on Crack Propagation of AISI304L Stainless Steel Pre-charged in Hydrogen, (2007) International Review of Mechanical Engineering (IREME), 1 (5), pp. 463-468.

D. L. McDowell and F. P. E. Dunne, "Microstructure-sensitive computational modeling of fatigue crack formation," Int. J. Fatigue, vol. 32, pp. 1521-42, 2010.
http://dx.doi.org/10.1016/j.ijfatigue.2010.01.003

R. Asaro, "Micromechanics of crystals and polycrystals," Adv. Appl. Mech., vol. 23, pp. 1-115, 1983.
http://dx.doi.org/10.1016/s0065-2156(08)70242-4

D. Peirce, R. Asaro and A. Needleman, "Material rate dependence and localized deformation in crystalline solids," Acta Metall., vol. 31, no. 12, pp. 1951-76, 1983.
http://dx.doi.org/10.1016/0001-6160(83)90014-7

R. Asaro and A. Needleman, "Flow localization in strain hardening crystalline solids," Scripta Metall., vol. 18, no. 5, pp. 429-35, 1984.
http://dx.doi.org/10.1016/0036-9748(84)90416-2

H. Deve and R. Asaro, "Development of plastic failure modes in crystalline materials: shear bands in FCC polycrystals," Metall. Trans. A, vol. 20, no. 4, pp. 579-93, 1989.
http://dx.doi.org/10.1007/bf02667576

P. McHugh, A. Varias, R. Asaro and C. Shih, "Computational modeling of microstructures," Future Gener. Comp. Sy., vol. 5, pp. 295-318, 1989.
http://dx.doi.org/10.1016/0167-739x(89)90049-6

T. Sham and A. Needleman, "Effects of triaxial stressing on creep cavitation of grain boundaries," Acta Metall., vol. 31, no. 6, pp. 919-26, 1983.
http://dx.doi.org/10.1016/0001-6160(83)90120-7

T. Christman, A. Needleman, S. Nutt and S. Suresh, "On microstructural evolution and micromechanical modelling of deformation of a whisker-reinforced metal-matrix composite," Mat. Sci. Eng. A-Struct., vol. 107, no. 1-2, pp. 49-61, 1989.
http://dx.doi.org/10.1016/0921-5093(89)90374-2

A. Needleman, "Size effects in the analysis of ductility under dynamic loading conditions," ASME Appl. Mech. Div., vol. 180, pp. 55-58, 1993.

G. Povirk, S. Nutt and A. Needleman, "Analysis of creep in thermally cycled Al/SiC composites," Scripta Metall. Mater., vol. 26, no. 3, pp. 461-6, 1992.
http://dx.doi.org/10.1016/0956-716x(92)90630-w

C. Li, "Vector CTD analysis for crystallographic crack growth," Acta Metall. Mater., vol. 38, no. 11, pp. 2129-34, 1990.
http://dx.doi.org/10.1016/0956-7151(90)90079-v

K. Gall, H. Sehitoglu and Y. Kadioglu, "Methodology for predicting variability in microstructurally short fatigue crack growth rates," J. Eng. Mater.-T. ASME, vol. 119, no. 2, pp. 171-8, 1997.
http://dx.doi.org/10.1115/1.2805990

J. Provan, "Model for fatigue crack initiation in polycrystalline solids. Advances in research on the strength and fracture of materials," in 4th Int conference on fracture , Waterloo (ON): Pergamon Press, June 19–24, 1977.
http://dx.doi.org/10.1016/b978-0-08-022140-3.50071-9

J. Provan, "Fatigue reliability distribution based on probabilistic micromechanics," in Defects and Fracture, Martinus Nijhoff, 1982, pp. 63-9.
http://dx.doi.org/10.1007/978-94-011-7520-3_6

K. Tanaka and T. Mura, "A dislocation model for fatigue crack initiation," ASME J. Appl. Mech., vol. 48, pp. 97-103, 1981.
http://dx.doi.org/10.1115/1.3157599

A. Foit and X. Huang, "Numerical simulation of micro-crack initiation of martensitic steel under fatigue loading," Int. J. Fatigue, vol. 28, pp. 963-71, 2006.
http://dx.doi.org/10.1016/j.ijfatigue.2005.08.011

K. Chan and M. Enright, "A probabilistic micromechanical code for predicting fatigue life variability: model development and application," J. Eng. Gas Turb. Power, vol. 128, no. 4, pp. 889-95, 2006.
http://dx.doi.org/10.1115/GT2005-68983

D. L. McDowell, "Microstructure-sensitive computational fatigue analysis," in Handbook of materials modeling, Part A: methods, Springer, 2005, pp. 1193-214.
http://dx.doi.org/10.1007/1-4020-3286-2_61

D. Taylor and J. F. Knott, "Fatigue crack propagation behaviour of short cracks: The effect of microstructure," Fatigue Fract. Eng. Mater. Struct., vol. 4, no. 2, pp. 147-55, 1981. "
http://dx.doi.org/10.1111/j.1460-2695.1981.tb01116.x

D. L. McDowell, K. Gall, M. F. Horstemeyer and J. Fan, "Microstructure-based fatigue modeling of cast A356-T6 alloy," Eng. Fract. Mech., vol. 70, pp. 49-80, 2003.
http://dx.doi.org/10.1016/S0013-7944(02)00021-8

D. L. McDowell, "Simulation-based strategies for microstructure-sensitive fatigue modeling," Mater. Sci. Eng. A, Vols. 468-470, pp. 4-14, 2007.
http://dx.doi.org/10.1016/j.msea.2006.08.129

S. Ishihara and A. McEvily, "On the early initiation of fatigue cracks in the high cycle regime," in Proceedings ICF 12, Ottawa (ON, Canada), July 12–17, 2009.

D. L. McDowell, "Microstructure-sensitive modeling and simulation of fatigue," ASM Handbook: Fundamentals of Modeling for Metals Processing, vol. 22A, pp. 408-18, 2009.

A. Fatemi and D. Socie, "Critical plane approach to multiaxial fatigue damage including out-of-phase loading," Fatigue Fract. Eng. Mater. Struct., vol. 11, no. 3, pp. 149-65, 1988.
http://dx.doi.org/10.1111/j.1460-2695.1988.tb01169.x

D. Socie, "Multiaxial Fatigue Damage Criteria," in Handbook of Materials Behavior Models, Academic Press, 2001, pp. 453-56.
http://dx.doi.org/10.1016/b978-012443341-0/50051-x

C. H. Goh, "Ph.D. Thesis," Georgia Institute of Technology, Atlanta, GA, 2002.

C. H. Goh, R. W. Neu and D. L. McDowell, "Fretting Fatigue: Advances in Basic Understanding and Applications," American Society for Testing and Materials, West Conshohocken, PA, 2003.
http://dx.doi.org/10.1520/stp10760s

D. L. McDowell and J. Berard, "A ∆J-based approach to biaxial fatigue," Fatigue Fract. Eng. Mater. Struct., vol. 15, pp. 719-41, 1992.
http://dx.doi.org/10.1111/j.1460-2695.1992.tb00053.x

V. P. Bennett and D. L. McDowell, "Crack tip displacements of microstructurally small surface cracks in single phase ductile polycrystals," Eng. Fract. Mech., vol. 70, pp. 185-207, 2003.
http://dx.doi.org/10.1016/s0013-7944(02)00033-4

J. Fan, D. L. McDowell, M. Horstemeyer and K. Gall, "Computational micromechanics analysis of cyclic crack-tip behavior for microstructurally small cracks in dual-phase Al–Si alloys," Eng. Fract. Mech., vol. 68, pp. 1687-706, 2001.
http://dx.doi.org/10.1016/s0013-7944(01)00064-9

K. Tanaka and Y. Akiniwa, "Propagation and non-propagation of small fatigue cracks," in International Conference on Fracture, Houston, 1989.
http://dx.doi.org/10.1016/b978-0-08-034341-9.50100-5

K. Gall, N. Yang, M. Horstemeyer, D. L. McDowell and J. Fan, "The influence of modified intermetallics and Si particles on fatigue crack paths in a cast A356 Al alloy," Fatigue Fract. Eng. Mater. Struct., vol. 23, no. 2, pp. 159-72, 2000.
http://dx.doi.org/10.1046/j.1460-2695.2000.00239.x

K. Gall, M. Horstemeyer, D. L. McDowell and J. Fan, "Finite element analysis of the stress distributions near damaged Si particle clusters in cast Al-Si alloys," Mech. Mater., vol. 32, no. 5, pp. 277-301, 2000.
http://dx.doi.org/10.1016/s0167-6636(00)00003-x

D. L. McDowell and G. B. Olson, "Concurrent design of hierarchical materials and structures," Sci. Model. Simul., vol. 15, no. 1, p. 207, 2008.
http://dx.doi.org/10.1007/s10820-008-9100-6

R. Kumar, A. Wang and D. L. McDowell, "Effects of microstructure variability on intrinsic fatigue resistance of nickel base superalloys - A computational micromechanics approach," Int. J. Fracture, vol. 137, pp. 173-210, 2006.
http://dx.doi.org/10.1007/s10704-005-3149-y

M. Shenoy, J. Zhang and D. L. McDowell, "Estimating fatigue sensitivity to polycrystalline Ni-base superalloy microstructures using a computational approach," Fatigue Fract. Eng. Mater. Struct., vol. 30, no. 10, pp. 889-904, 2007.
http://dx.doi.org/10.1111/j.1460-2695.2007.01159.x

M. Shenoy, Y. Tjiptowidjojo and D. L. McDowell, "Microstructure-sensitive modeling of polycrystalline IN 100," Int. J. Plasticity, vol. 24, pp. 1694-730, 2008.
http://dx.doi.org/10.1016/j.ijplas.2008.01.001

R. Becker and H. Weiland, "Use of EBSD data in mesoscale numerical analyses," Lawrence Livermore National Laboratory, Livermore, 2000.
http://dx.doi.org/10.1007/978-1-4757-3205-4_16

T. Maitland and S. Sitzman, "Electron backscatter diffraction technique and materials characterization examples," in Scanning Microscopy for Nanotechnology, Springer, 2007, pp. 41-75.

I. EBSD Oxford, 2014. [Online]. Available: http://www.ebsd.com/.

F. Roters, P. Eisenlohr, L. Hantcherli, D. D. Tjahjanto, T. R. Bieler and D. Raabe, "Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications," Acta Mater., vol. 58, pp. 1152-211, 2010.
http://dx.doi.org/10.1016/j.actamat.2009.10.058

Abaqus, "User Subroutines Reference Manual Version 6.13," Dassault Systemes, 2013.

Y. Huang, "A user-material subroutine incorporating single crystal plasticity in the Abaqus finite element program," Division of Applied Sciences, Harvard University, Cambridge, 1991.

R. D. McGinty and D. L. McDowell, "Multiscale polycrystal plasticity," J. Eng. Mater. Tech., vol. 121, pp. 203-9, 1999.
http://dx.doi.org/10.1115/1.2812367

R. Asaro and A. Needleman, "Texture development and strain hardening in rate dependent polycrystals," Acta Metall., vol. 33, pp. 923-53, 1985.
http://dx.doi.org/10.1016/0001-6160(85)90188-9

A. L. Pécheur, F. Curtit, M. Clavel, J. M. Stephan, C. Rey and P. Bompard, "Polycrystal modelling of fatigue: pre-hardening and surface roughness effects on damage initiation for 304L stainless steel," Int. J. Fatigue, vol. 45, pp. 48-60, 2012.
http://dx.doi.org/10.1016/j.ijfatigue.2012.06.014

R. Voothaluru and C. R. Liu, "A crystal plasticity based methodology for fatigue crack initiation life prediction in polycrystalline copper," Fatigue Fract. Eng. Mater. Struct., vol. 37, pp. 671-81, 2014.
http://dx.doi.org/10.1111/ffe.12152

Y. Li, V. Aubin, C. Rey and P. Bompard, "Polycrystalline numerical simulation of variable amplitude loading effects on cyclic plasticity and microcrack initiation in austenitic steel 304L," Int. J. Fatigue, vol. 42, pp. 71-81, 2012.
http://dx.doi.org/10.1016/j.ijfatigue.2011.07.003

P. Erieau and C. Rey, "Modeling of deformation and rotation bands and of deformation induced grain boundaries in IF steel aggregate during large plane strain compression," Int. J. Plasticity, vol. 20, no. 10, pp. 1763-88, 2004.
http://dx.doi.org/10.1016/j.ijplas.2003.11.014

E. Heripre, M. Dexet, J. Crepin, L. Gelebart, A. Roos, M. Bornert and D. Caldemaison, "Coupling between experimental measurements and polycrystal finite element calculations for micromechanical study of metallic materials," Int. J. Plasticity, vol. 23, no. 9, pp. 1512-39, 2007.
http://dx.doi.org/10.1016/j.ijplas.2007.01.009

J. Schwartz, O. Fandeur and C. Rey, "Fatigue crack initiation modeling of 316LN steel based on non local plasticity theory," Procedia Eng., vol. 2, no. 1, pp. 1353-62, 2010.
http://dx.doi.org/10.1016/j.proeng.2010.03.147

A. J. Wilkinson and D. Randman, "Determination of elastic strain fields and geometrically necessary dislocation distributions near nanoindents using electron back scatter diffraction," Philos. Mag., vol. 90, no. 9, pp. 1159-77, 2010.
http://dx.doi.org/10.1080/14786430903304145

K. Cheong and E. P. Busso, "Effects of lattice misorientations on strain heterogeneities in FCC polycrystals," J. Mech. Phys. Solids, vol. 54, pp. 671-89, 2006.
ttp://dx.doi.org/10.1016/j.jmps.2005.11.003h

K. Cheong, E. P. Busso and A. Arsenlis, "A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts," Int. J. Plasticity, vol. 21, pp. 1797-1814, 2005.
http://dx.doi.org/10.1016/j.ijplas.2004.11.001

V. P. Bennett and D. L. McDowell, "Polycrystal orientation effects on microslip and mixed mode behavior of microstructurally small cracks," ASTM STP 1359, 1999.
http://dx.doi.org/10.1520/stp14251s

V. P. Bennett and D. L. McDowell, "Polycrystal orientation distribution effects on microslip in high cycle fatigue," Int. J. Fatigue, vol. 25, pp. 27-39, 2003.
http://dx.doi.org/10.1016/s0142-1123(02)00057-9

F. P. E. Dunne and C. Sweeney, "Micromechanical studies of deformation, stress and crack nucleation in polycrystal materials," in Advanced Materials Modelling for Structures, Springer, 2013, pp. 133-9.
http://dx.doi.org/10.1007/978-3-642-35167-9_13

A. Manonukul and F. P. E. Dunne, "High- and low-cycle fatigue crack initiation using polycrystal plasticity," The Royal Society, London, 2004.
http://dx.doi.org/10.1098/rspa.2003.1258

J. R. Mayeur and D. L. McDowell, "A three-dimensional crystal plasticity model for duplex Ti–6Al–4V," Int. J. Plasticity, vol. 23, pp. 1457-85, 2007.
http://dx.doi.org/10.1016/j.ijplas.2006.11.006

M. Zhang, J. Zhang and D. L. McDowell, "Microstructure-based crystal plasticity modeling of cyclic deformation of Ti–6Al–4V," Int. J. Plasticity, vol. 23, pp. 1328-48, 2007.
http://dx.doi.org/10.1016/j.ijplas.2006.11.009

M. Groeber, M. Uchic, D. Dimiduk, Y. Bhandari, S. Ghosh and S. Sarkar, "A framework for automated 3D microstructure analysis & representation," J. Comput.-Aided Mater., vol. 14, no. 1, pp. 63-74, 2007.
http://dx.doi.org/10.1007/s10820-007-9078-5

M. Groeber, S. Ghosh, M. Uchic and M. Dimiduk, "Framework for automated analysis and simulation of 3D polycrystalline microstructures, Part 2: Synthetic structure generation," Acta Mater., vol. 56, pp. 1274-87, 2008.
http://dx.doi.org/10.1016/j.actamat.2007.11.040

Y. Li, V. Aubin, C. Rey and P. Bompard, "Microstructural modeling of fatigue crack initiation in austenitic steel 304L," Proc. Eng., vol. 31, pp. 541-49, 2012.
http://dx.doi.org/10.1016/j.proeng.2012.01.1065

F. P. E. Dunne, A. J. Wilkinson and R. Allen, "Experimental and computational studies of low cycle fatigue crack nucleation in a polycrystal," Int. J. Plasticity, vol. 23, pp. 273-95, 2007.
http://dx.doi.org/10.1016/j.ijplas.2006.07.001

W. Musinski and D. L. McDowell, "Microstructure-sensitive probabilistic modeling of HCF crack initiation and early crack growth in Ni-base superalloy IN100 notched components," Int. J. Fatigue, vol. 37, pp. 41-53, 2012.
http://dx.doi.org/10.1016/j.ijfatigue.2011.09.014

H. M. Zbib, "Introduction to discrete dislocation dynamics," in Generalized Continua and Dislocation Theory, Springer, 2012, pp. 289-317.
http://dx.doi.org/10.1007/978-3-7091-1222-9_4

V. V. Bulatov, "Crystal plasticity from dislocation dynamics," in Materials Issues for Generation IV Systems, Springer, 2008, pp. 275-84.
http://dx.doi.org/10.1007/978-1-4020-8422-5_14

S. Brinckmann and E. V. Giessen, "A fatigue crack initiation model incorporating discrete dislocation plasticity and surface roughness," Int. J. Fracture, vol. 148, pp. 155-67, 2007.
http://dx.doi.org/10.1007/s10704-008-9190-x

M. D. Sangid, H. J. Maier and H. Sehitoglu, "A physically based fatigue model for prediction of crack initiation from persistent slip bands in polycrystals," Acta Mater., vol. 59, pp. 328-41, 2011.
http://dx.doi.org/10.1016/j.actamat.2010.09.036

H. W. H. Kwok, "Crack nucleation related dislocation dynamics: A numerical study on the FCC metal," University of Ottawa, Ottawa, Canada, 2011.

F. Riemelmoser, P. Gumbsch and R. Pippan, "Dislocation modelling of fatigue cracks: an overview," Mater. Trans., vol. 42, pp. 2-13, 2001.
http://dx.doi.org/10.2320/matertrans.42.2

V. S. Deshpande, A. Needleman and E. V. Giessen, "Scaling of discrete dislocation predictions for near-threshold fatigue crack growth," Acta Mater., vol. 51, pp. 4637-51, 2003.
http://dx.doi.org/10.1016/s1359-6454(03)00302-1

V. Deshpande, A. Needleman and E. V. Giessen, "Discrete dislocation plasticity modeling of short cracks in single crystals," Acta Mater., vol. 51, pp. 1-15, 2003.
http://dx.doi.org/10.1016/s1359-6454(02)00401-9

S. Groh, S. Olarnrithinun, W. A. Curtin, A. Needleman, V. S. Deshpande and E. V. Giessen, "Fatigue crack growth from a cracked elastic particle into a ductile matrix," Philos. Mag., vol. 88, pp. 3565-83, 2008.
http://dx.doi.org/10.1080/14786430802320127

G. P. Reddy, C. Robertson, C. Depres and M. Fivel, "Effect of grain disorientation on early fatigue crack propagation in face-centred-cubic polycrystals: A three-dimensional dislocation dynamics investigation," Acta Mater., vol. 61, pp. 5300-10, 2013.
http://dx.doi.org/10.1016/j.actamat.2013.05.021

A. Ma and F. Roters, "A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals," Acta Mater., vol. 52, pp. 3603-12, 2004.
http://dx.doi.org/10.1016/j.actamat.2004.04.012

A. Ma, F. Roters and D. Raabe, "A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations," Acta Mater., vol. 54, pp. 2169-79, 2006.
http://dx.doi.org/10.1016/j.actamat.2006.01.005


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