journal article·2023-05Open access

A phase field model for high-cycle fatigue: Total-life analysis

Alireza Golahmar, Christian F. Niordson, Emilio Martínez-Pañeda

Abstract

We present a generalised phase field formulation for predicting high-cycle fatigue in metals. Different fatigue degradation functions are presented, together with new damage accumulation strategies, to account for (i) a typical S-N curve slope, (ii) the fatigue endurance limit, and (iii) the mean stress effect. The numerical implementation exploits an efficient quasi-Newton monolithic solution strategy and Virtual S-N curves are computed for both smooth and notched samples. The comparison with experiments reveals that the model can accurately predict fatigue lives and endurance limits, as well as naturally capture the influence of the stress concentration factor and the load ratio.
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Research context

OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Aluminum Alloy Microstructure Properties

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (53)

Show source-provided references
1. Stephens · 2000
2. Suresh · 1998
3. Wöhler · 1870
4. The phenomena of rupture and flow in solids
5. Revisiting brittle fracture as an energy minimization problem10.1016/S0022-5096(98)00034-9 ↗
6. Bourdin · 2008
7. Phase-field modeling of ductile fracture10.1007/s00466-015-1151-4 ↗
8. A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects10.1016/j.cma.2016.09.005 ↗
9. A mechanism-based multi-trap phase field model for hydrogen assisted fracture10.1016/j.ijplas.2021.103044 ↗
10. A phase-field description of dynamic brittle fracture10.1016/j.cma.2012.01.008 ↗
11. A phase-field formulation for dynamic cohesive fracture10.1016/j.cma.2019.01.026 ↗
12. An open-source abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation10.1016/j.cma.2020.113004 ↗
13. Failure and complex crack patterns in hybrid laminates: A phase-field approach10.1016/j.compositesb.2019.107256 ↗
14. A length scale insensitive anisotropic phase field fracture model for hyperelastic composites10.1016/j.ijmecsci.2020.105941 ↗
15. A phase field approach enhanced with a cohesive zone model for modeling delamination induced by matrix cracking10.1016/j.cma.2019.112618 ↗
16. Phase field modelling of crack propagation in functionally graded materials10.1016/j.compositesb.2019.04.003 ↗
17. Phase field modeling of fracture in functionally graded materials: G -convergence and mechanical insight on the effect of grading
18. A phase field formulation for hydrogen assisted cracking10.1016/j.cma.2018.07.021 ↗
19. A phase-field model for solute-assisted brittle fracture in elastic–plastic solids10.1016/j.ijplas.2017.11.004 ↗
20. A phase-field regularized cohesive zone model for hydrogen assisted cracking10.1016/j.cma.2019.112614 ↗
21. Phase-field modelling of fracture10.1016/bs.aams.2019.08.001 ↗
22. An assessment of phase field fracture: crack initiation and growth10.1098/rsta.2021.0021 ↗
23. A phase-field model for fatigue crack growth10.1016/j.jmps.2019.103684 ↗
24. A non-isothermal thermodynamically consistent phase field framework for structural damage and fatigue10.1016/j.cma.2016.08.030 ↗
25. Fatigue phase-field damage modeling of rubber using viscous dissipation: Crack nucleation and propagation10.1016/j.mechmat.2019.103282 ↗
26. A phase field modeling approach of cyclic fatigue crack growth10.1007/s10704-020-00468-w ↗
27. A phenomenological approach to fatigue with a variational phase-field model: The one-dimensional case10.1016/j.engfracmech.2017.11.036 ↗
28. A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach10.1016/j.cma.2019.112731 ↗
29. An efficient phase-field model for fatigue fracture in ductile materials10.1016/j.engfracmech.2019.106807 ↗
30. Phase field modelling of fracture and fatigue in shape memory alloys10.1016/j.cma.2020.113504 ↗
31. Modelling fatigue crack growth in shape memory alloys10.1111/ffe.13638 ↗
32. A coupled phase field formulation for modelling fatigue cracking in lithium-ion battery electrode particles10.1016/j.jpowsour.2022.231805 ↗
33. A phase-field model for low-cycle fatigue of brittle materials10.1016/j.ijfatigue.2021.106297 ↗
34. A phase field model for hydrogen-assisted fatigue10.1016/j.ijfatigue.2021.106521 ↗
35. A general phase-field model for fatigue failure in brittle and ductile solids10.1007/s00466-021-01996-5 ↗
36. Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation10.1016/j.cma.2020.113473 ↗
37. A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver10.1016/j.cma.2021.114286 ↗
38. Gradient damage models and their use to approximate brittle fracture10.1177/1056789510386852 ↗
39. On the bfgs monolithic algorithm for the unified phase field damage theory10.1016/j.cma.2019.112704 ↗
40. Phase field fracture modelling using quasi-newton methods and a new adaptive step scheme10.1016/j.tafmec.2019.102446 ↗
41. Provatas · 2011
42. A phase field formulation for dissolution-driven stress corrosion cracking10.1016/j.jmps.2020.104254 ↗
43. A review on phase-field models of brittle fracture and a new fast hybrid formulation10.1007/s00466-014-1109-y ↗
44. Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field fe implementations10.1002/nme.2861 ↗
45. Regularized variational theories of fracture: A unified approach10.1016/j.jmps.2010.02.010 ↗
46. Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments10.1016/j.jmps.2009.04.011 ↗
47. A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits10.1016/j.cma.2010.04.011 ↗
48. Crack nucleation in variational phase-field models of brittle fracture10.1016/j.jmps.2017.09.006 ↗
49. Walker K. The effect of stress ratio during crack propagation and fatigue for 2024-t3 and 7075-t6 aluminum, effects of environment and complex load history on fatigue life. In: ASTM STP, vol. 462. 1970.10.1520/STP32032S ↗
50. Stress- strain function for the fatigue of metals
51. MIL-HDBK-5H · 1998
52. Mean stress effects in stress-life fatigue and the walker equation10.1111/j.1460-2695.2008.01322.x ↗
53. Crack closure and plastic zone sizes in fatigue10.1111/j.1460-2695.1991.tb00674.x ↗