- Letter
- Open Access
Fatigue crack growth in an aluminum alloy: Avalanches and coarse graining to growth laws
Phys. Rev. Research 3, L042029 – Published 19 November, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L042029
Abstract
In fatigue fracture the crack growth is slow and in many materials exhibits apparent self-similarity as expressed by the dependence of the growth velocity on a stress intensity factor that grows with the crack size. We study the intermittency of fatigue crack dynamics in aluminium alloys by optical tracking. A power-law distribution of crack tip jumps is found with an exponent close to two and a cutoff which increases with time or crack propagation. The cutoff is related to the crack velocity. We show how such a distribution evolves or coarse grains with the scale of observation or time window. The correlations of the crack propagation imply short-range memory effects in the underlying dynamics. Our results show universal features of fatigue cracks and how these lead to the crack growth and failure in material samples.
Physics Subject Headings (PhySH)
Article Text
References (33)
- S. Suresh, Fatigue of Materials (Cambridge University Press, Cambridge, UK, 1998).
- W. Schütz, A history of fatigue, Eng. Fract. Mech. 54, 263 (1996).
- R. O. Ritchie, Incomplete self-similarity and fatigue-crack growth, Int. J. Fract. 132, 197 (2005).
- P. Chowdhury and H. Sehitoglu, Mechanisms of fatigue crack growth – a critical digest of theoretical developments, Fatigue Fract. Eng. Mater. Struct. 39, 652 (2016).
- M. J. Alava, P. K. Nukala, and S. Zapperi, Statistical models of fracture, Adv. Phys. 55, 349 (2006).
- J. Koivisto, J. Rosti, and M. J. Alava, Creep of a Fracture Line in Paper Peeling, Phys. Rev. Lett. 99, 145504 (2007).
- D. Bonamy, S. Santucci, and L. Ponson, Crackling Dynamics in Material Failure as the Signature of a Self-Organized Dynamic Phase Transition, Phys. Rev. Lett. 101, 045501 (2008).
- L. Ponson, Depinning Transition in the Failure of Inhomogeneous Brittle Materials, Phys. Rev. Lett. 103, 055501 (2009).
- L. Laurson, S. Santucci, and S. Zapperi, Avalanches and clusters in planar crack front propagation, Phys. Rev. E 81, 046116 (2010).
- J. Chopin, A. Bhaskar, A. Jog, and L. Ponson, Depinning Dynamics of Crack Fronts, Phys. Rev. Lett. 121, 235501 (2018).
- J. Bares, M. Barlet, C.-L. Rountree, L. Barbier, and D. Bonamy, Nominally brittle cracks in inhomogeneous solids: From microstructural disorder to continuum-level scale, Front. Phys. 2, 70 (2014).
- O. Lengliné, R. Toussaint, J. Schmittbuhl, J. E. Elkhoury, J. P. Ampuero, K. T. Tallakstad, S. Santucci, and K. J. Måløy, Average crack-front velocity during subcritical fracture propagation in a heterogeneous medium, Phys. Rev. E 84, 036104 (2011).
- K. T. Tallakstad, R. Toussaint, S. Santucci, J. Schmittbuhl, and K. J. Måløy, Local dynamics of a randomly pinned crack front during creep and forced propagation: An experimental study, Phys. Rev. E 83, 046108 (2011).
- T. Vincent-Dospital, A. Cochard, S. Santucci, K. J. Måløy, and R. Toussaint, Thermally activated intermittent dynamics of creeping crack fronts along disordered interfaces, Sci. Rep. 11, 1 (2021).
- J. P. Sethna, K. A. Dahmen, and C. R. Myers, Crackling noise, Nature (London) 410, 242 (2001).
- P. Paris and F. Erdogan, A critical analysis of crack propagation laws, J. Basic Eng. 85, 528 (1963).
- A. P. Vieira, J. S. Andrade, Jr., and H. J. Herrmann, Subcritical Crack Growth: The Microscopic Origin of Paris Law, Phys. Rev. Lett. 100, 195503 (2008).
- W. Elber, Fatigue crack closure under cyclic tension, Eng. Fract. Mech. 2, 37 (1970).
- W. F. Wu and C. C. Ni, Statistical aspects of some fatigue crack growth data, Eng. Fract. Mech. 74, 2952 (2007).
- S. Deschanel, W. Ben Rhouma, and J. Weiss, Acoustic emission multiplets as early warnings of fatigue failure in metallic materials, Sci. Rep. 7, 13680 (2017).
- J. Weiss, W. Ben Rhouma, S. Deschanel, and L. Truskinovsky, Plastic intermittency during cyclic loading: From dislocation patterning to microcrack initiation, Phys. Rev. Materials 3, 023603 (2019).
- S. Shrestha, M. Kannan, G. N. Morscher, M. J. Presby, and S. M. Razavi, In-situ fatigue life analysis by modal acoustic emission, direct current potential drop and digital image correlation for steel, Int. J. Fatigue 142, 105924 (2021).
- ASTM E647-15, Standard Test Method for Measurement of Fatigue Crack Growth Rates (ASTM International, West Conshohocken, PA, 2015).
- J. Baró and E. Vives, Analysis of power-law exponents by maximum-likelihood maps, Phys. Rev. E 85, 066121 (2012).
- H. Jian, J. Luo, X. Tang, X. Li, and C. Yan, Influence of microstructure on fatigue crack propagation behaviors of an aluminum alloy: Role of sheet thickness, Eng. Fract. Mech. 180, 105 (2017).
- Y. Xue, H. El Kadiri, M. Horstemeyer, J. Jordon, and H. Weiland, Micromechanisms of multistage fatigue crack growth in a high-strength aluminum alloy, Acta Mater. 55, 1975 (2007).
- Y. Chen, H. Zhang, W. Song, S. Pan, W. Liu, X. Liu, B. Zhu, Y. Song, and W. Zhou, Acceleration effect of a graphite dust environment on the fatigue crack propagation rates of al alloy, Int. J. Fatigue 126, 20 (2019).
- A. Shyam and E. Lara-Curzio, A model for the formation of fatigue striations and its relationship with small fatigue crack growth in an aluminum alloy, Int. J. Fatigue 32, 1843 (2010).
- D. Kujawski, A fatigue crack driving force parameter with load ratio effects, Int. J. Fatigue 23, 239 (2001).
- A. Noroozi, G. Glinka, and S. Lambert, A two parameter driving force for fatigue crack growth analysis, Int. J. Fatigue 27, 1277 (2005).
- X. Huang, M. Torgeir, and W. Cui, An engineering model of fatigue crack growth under variable amplitude loading, Int. J. Fatigue 30, 2 (2008).
- R. Kokkoniemi, A. Miksic, M. Ovaska, L. Laurson, and M. Alava, Intermittent crack growth in fatigue, J. Stat. Mech. (2017) 073401.
- A. Tanguy, M. Gounelle, and S. Roux, From individual to collective pinning: Effect of long-range interaction, Phys. Rev. E 58, 1577 (1998).