A phase field model for hydrogen-assisted fatigue
Source abstract
Abstract
We present a new theoretical and numerical phase field-based formulation for predicting hydrogen-assisted fatigue. The coupled deformation-diffusion-damage model presented enables predicting fatigue crack nucleation and growth for arbitrary loading patterns and specimen geometries. The role of hydrogen in increasing fatigue crack growth rates and decreasing the number of cycles to failure is investigated. Our numerical experiments enable mapping the three loading frequency regimes and naturally recover Paris law behaviour for various hydrogen concentrations. In addition, Virtual S–N curves are obtained for both notched and smooth samples, exhibiting a good agreement with experiments.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Material Properties and Failure Mechanisms
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (70)
Show source-provided references
1. A microstructural based understanding of hydrogen-enhanced fatigue of stainless steels10.1016/j.ijfatigue.2012.08.009 ↗
2. Fatigue behavior of hydrogen pre-charged low alloy Cr-Mo steel10.1016/j.ijfatigue.2015.06.002 ↗
3. Hydrogen trapping and fatigue crack growth property of low-carbon steel in hydrogen-gas environment10.1016/j.ijfatigue.2017.04.010 ↗
4. Effect of hydrogen on the fatigue crack growth rate of quenched and tempered CrMo and CrMoV steels10.1016/j.ijfatigue.2018.11.015 ↗
5. Hydrogen-affected fatigue crack propagation at various loading frequencies and gaseous hydrogen pressures in commercially pure iron10.1016/j.ijfatigue.2018.12.009 ↗
6. Hydrogen-assisted, intergranular, fatigue crack-growth in ferritic iron: Influences of hydrogen-gas pressure and temperature variation10.1016/j.ijfatigue.2020.105806 ↗
7. Hydrogen-assisted cracking
8. The effect of hydrogen on fatigue properties of steels used for fuel cell system10.1016/j.ijfatigue.2005.06.059 ↗
9. Gangloff · 2012 · 520
10. Strain gradient plasticity-based modeling of hydrogen environment assisted cracking10.1016/j.actamat.2016.07.022 ↗
11. Measurement and modeling of hydrogen environment-assisted cracking in a Ni-Cu-Al-Ti superalloy10.1007/s11661-015-3315-4 ↗
12. A statistical, physical-based, micro-mechanical model of hydrogen-induced intergranular fracture in steel10.1016/j.jmps.2009.10.005 ↗
13. A fracture criterion for the notch strength of high strength steels in the presence of hydrogen10.1016/j.jmps.2013.10.002 ↗
14. A quantum-mechanically informed continuum model of hydrogen embrittlement10.1016/j.jmps.2004.02.010 ↗
15. Continuum level simulation of the grain size and misorientation effects on hydrogen embrittlement in nickel10.1016/j.engfailanal.2017.07.027 ↗
16. A modelling framework for coupled hydrogen diffusion and mechanical behaviour of engineering components10.1007/s00466-020-01847-9 ↗
17. On modeling fracture of ferritic steels due to hydrogen embrittlement10.1016/j.jmps.2018.09.012 ↗
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. A phase field model for elastic-gradient-plastic solids undergoing hydrogen embrittlement10.1016/j.jmps.2020.104093 ↗
22. Applications of phase field fracture in modelling hydrogen assisted failures10.1016/j.tafmec.2020.102837 ↗
23. On the suitability of slow strain rate tensile testing for assessing hydrogen embrittlement susceptibility10.1016/j.corsci.2019.108291 ↗
24. A rationale for modeling hydrogen effects on plastic deformation across scales in FCC metals10.1016/j.ijplas.2018.07.009 ↗
25. Modeling the hydrogen effect on the constitutive response of a low carbon steel in cyclic loading10.1115/1.4049076 ↗
26. The effect of hydrogen induced surface asperities on fatigue crack closure in ultrahigh strength steel10.1016/0036-9748(83)90456-8 ↗
27. On the influence of internal hydrogen on fatigue thresholds of HSLA steel10.1016/0036-9748(83)90457-X ↗
28. Analysis of the influence of microstructural traps on hydrogen assisted fatigue10.1016/j.actamat.2020.08.030 ↗
29. Controlling factors and mechanisms of fatigue crack growth influenced by high pressure of gaseous hydrogen in a commercially pure iron10.1016/j.tafmec.2020.102885 ↗
30. Cohesive zone modeling of fatigue crack propagation assisted by gaseous hydrogen in metals10.1016/j.ijfatigue.2014.06.007 ↗
31. A cohesive zone framework for environmentally assisted fatigue10.1016/j.engfracmech.2017.05.021 ↗
32. Phase-field study of electrochemical reactions at exterior and interior interfaces in Li-ion battery electrode particles10.1016/j.cma.2016.04.033 ↗
33. Phase field modeling of chemomechanical fracture of intercalation electrodes: Role of charging rate and dimensionality10.1016/j.jmps.2019.103696 ↗
34. A phase field approach enhanced with a cohesive zone model for modeling delamination induced by matrix cracking10.1016/j.cma.2019.112618 ↗
35. Phase field predictions of microscopic fracture and R-curve behaviour of fibre-reinforced composites10.1016/j.compscitech.2020.108539 ↗
36. Modeling complex crack paths in ceramic laminates: A novel variational framework combining the phase field method of fracture and the cohesive zone model10.1016/j.jeurceramsoc.2018.01.035 ↗
37. Multiphysics phase-field modeling of quasi-static cracking in urania ceramic nuclear fuel10.1016/j.ceramint.2020.08.191 ↗
38. Phase field modelling of fracture and fatigue in Shape Memory Alloys10.1016/j.cma.2020.113504 ↗
39. Phase field modelling of crack propagation in functionally graded materials10.1016/j.compositesb.2019.04.003 ↗
40. Phase field modeling of fracture in Functionally Graded Materials: G -convergence and mechanical insight on the effect of grading
41. A unified model for metal failure capturing shear banding and fracture10.1016/j.ijplas.2014.08.016 ↗
42. 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 ↗
43. A mechanism-based multi-trap phase field model for hydrogen assisted fracture10.1016/j.ijplas.2021.103044 ↗
44. Revisiting brittle fracture as an energy minimization problem10.1016/S0022-5096(98)00034-9 ↗
45. Numerical experiments in revisited brittle fracture10.1016/S0022-5096(99)00028-9 ↗
46. Provatas · 2011
47. A phase field formulation for dissolution-driven stress corrosion cracking10.1016/j.jmps.2020.104254 ↗
48. An approximation result for special functions with bounded deformation10.1016/j.matpur.2004.02.004 ↗
49. Crack nucleation in variational phase-field models of brittle fracture10.1016/j.jmps.2017.09.006 ↗
50. An assessment of phase field fracture: crack initiation and growth10.1098/rsta.2021.0021 ↗
51. First principles assessment of ideal fracture energies of materials with mobile impurities: Implications for hydrogen embrittlement of metals10.1016/j.actamat.2004.06.037 ↗
52. A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach10.1016/j.cma.2019.112731 ↗
53. A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits10.1016/j.cma.2010.04.011 ↗
54. A review on phase-field models of brittle fracture and a new fast hybrid formulation10.1007/s00466-014-1109-y ↗
55. Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments10.1016/j.jmps.2009.04.011 ↗
56. A residual control staggered solution scheme for the phase-field modeling of brittle fracture10.1016/j.engfracmech.2018.09.027 ↗
57. GetFEM: Automated FE modeling of multiphysics problems based on a generic weak form language10.1145/3412849 ↗
58. Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme10.1016/j.tafmec.2019.102446 ↗
59. Modelling of the hydrogen distribution at a crack tip10.1016/0921-5093(95)09897-6 ↗
60. Generalised boundary conditions for hydrogen transport at crack tips10.1016/j.corsci.2020.108698 ↗
61. Hydrogen in metals: A coupled theory for species diffusion and large elastic-plastic deformations10.1016/j.ijplas.2012.11.005 ↗
62. Strain gradient plasticity modeling of hydrogen diffusion to the crack tip10.1016/j.ijhydene.2016.05.014 ↗
63. Coupled hydrogen diffusion simulation using a heat transfer analogy10.1016/j.ijmecsci.2016.07.020 ↗
64. Corrosion fatigue crack propagation in metals
65. On the stress distribution at the base of a stationary crack10.1115/1.4011454 ↗
66. Anderson · 2005
67. Slow strain rate tensile and fatigue properties of Cr-Mo and carbon steels in a 115 MPa hydrogen gas atmosphere10.1016/j.ijhydene.2015.02.098 ↗
68. Threshold stress intensity factor for hydrogen-assisted cracking of CR-MO steel used as stationary storage buffer of a hydrogen refueling station10.1016/j.ijhydene.2016.05.124 ↗
69. Unified evaluation of hydrogen-induced crack growth in fatigue tests and fracture toughness tests of a carbon steel10.1016/j.ijfatigue.2017.06.006 ↗
70. Technical reference for hydrogen compatibility of materials