Comparison of different one-parameter damage laws and local stress-strain approaches in multiaxial fatigue life assessment of notched components

Abstract This paper aims to compare the predictive capabilities of different one-parameter damage laws and local stress-strain approaches to assess the fatigue lifetime in notched components subjected to proportional bending-torsion loading. The tested fatigue damage parameters are defined using well-known stress-based, strain-based, SWT-based and energy-based relationships. Multiaxial cyclic plasticity at the notch-controlled process zone is accounted for within a 3D-FE linear-elastic framework using three local stress-strain approaches, namely Neuber’s rule, equivalent strain energy density rule (ESED) and the modified ESED rule. Regarding the local stress-strain approaches, irrespective of the fatigue damage parameter, Neuber’s rule always led to more conservative results, and the modified ESED rule resulted in slightly better fatigue life predictions when compared to the original ESED rule. As far as the fatigue damage parameters are concerned, energy-based models were more accurate, irrespective of the local stress-strain approach.

[1]  Mauro Filippini,et al.  A comparative study of multiaxial high-cycle fatigue criteria for metals , 1997 .

[2]  Luca Susmel,et al.  Comparison of TCD and SED methods in fatigue lifetime assessment , 2019, International Journal of Fatigue.

[3]  R. Ritchie,et al.  Architected cellular materials: A review on their mechanical properties towards fatigue-tolerant design and fabrication , 2021, Materials Science and Engineering: R: Reports.

[4]  Ewald Macha,et al.  Fatigue lives of 18G2A and 10HNAP steels under variable amplitude and random non-proportional bending with torsion loading , 2008 .

[5]  F. Berto,et al.  A generalized strain energy density criterion for mixed mode fracture analysis in brittle and quasi-brittle materials , 2015 .

[6]  José Alexander Araújo,et al.  A simple multiaxial fatigue criterion for metals , 2004 .

[7]  Nicole Apetre,et al.  Generalized probabilistic model allowing for various fatigue damage variables , 2017 .

[8]  Filippo Berto,et al.  Fracture assessment of U-notches under three point bending by means of local energy density , 2011 .

[9]  David Taylor,et al.  The Theory of Critical Distances: A link to micromechanisms , 2017 .

[10]  Filippo Berto,et al.  Three-dimensional linear elastic distributions of stress and strain energy density ahead of V-shaped notches in plates of arbitrary thickness , 2004 .

[11]  D. Shang,et al.  Notch stress-strain estimation method based on pseudo stress correction under multiaxial thermo-mechanical cyclic loading , 2020 .

[12]  José Alexander Araújo,et al.  Multiaxial fatigue: a stress based criterion for hard metals , 2005 .

[13]  F. Berto,et al.  Fatigue strength of blunt V-notched specimens produced by selective laser melting of Ti-6Al-4V , 2017, Theoretical and Applied Fracture Mechanics.

[14]  K. N. Smith A Stress-Strain Function for the Fatigue of Metals , 1970 .

[15]  J. Papuga,et al.  A comparison of methods for calculating notch tip strains and stresses under multiaxial loading , 2016 .

[16]  José Costa,et al.  Low-cycle fatigue behaviour of 34CrNiMo6 high strength steel , 2012 .

[17]  F. Berto,et al.  Effect of loading orientation on fatigue behaviour in severely notched round bars under non-zero mean stress bending-torsion , 2017 .

[18]  A. D. de Jesus,et al.  Energy response of S355 and 41Cr4 steel during fatigue crack growth process , 2018, The Journal of Strain Analysis for Engineering Design.

[19]  Shun‐Peng Zhu,et al.  The effect of notch size on critical distance and fatigue life predictions , 2020 .

[20]  Andrea Carpinteri,et al.  A multiaxial criterion for notch high-cycle fatigue using a critical-point method☆ , 2008 .

[21]  F. Ellyin Fatigue Damage, Crack Growth and Life Prediction , 1996 .

[22]  David Taylor,et al.  A novel formulation of the theory of critical distances to estimate lifetime of notched components in the medium-cycle fatigue regime , 2007 .

[23]  A. Karolczuk,et al.  A Review of Critical Plane Orientations in Multiaxial Fatigue Failure Criteria of Metallic Materials , 2005 .

[24]  Fernand Ellyin,et al.  Generalization of cumulative damage criterion to multilevel cyclic loading , 1987 .

[25]  D. Kujawski,et al.  Neuber’s rules and other solutions: Theoretical differences, formal analogies and energy interpretations , 2015 .

[26]  B. Moreno,et al.  Study of the biaxial fatigue behaviour and overloads on S355 low carbon steel , 2020 .

[27]  José A.F.O. Correia,et al.  Mixed mode I/II/III fatigue crack growth in S355 steel , 2017 .

[28]  Naoyuki Suzuki,et al.  Further investigation of Neuber’s rule and the equivalent strain energy density (ESED) method , 2004 .

[29]  Paolo Lazzarin,et al.  A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches , 2001 .

[30]  J. Morrow Cyclic Plastic Strain Energy and Fatigue of Metals , 1965 .

[31]  G. Qian,et al.  Mechanical design and multifunctional applications of chiral mechanical metamaterials: A review , 2019, Materials & Design.

[32]  A. Kotousov,et al.  New methodology of fatigue life evaluation for multiaxially loaded notched components based on two uniaxial strain-controlled tests , 2018, International Journal of Fatigue.

[33]  Filippo Berto,et al.  Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches , 2014 .

[34]  Andrei Kotousov,et al.  On higher order terms and out-of-plane singular mode , 2011 .

[35]  R. Branco,et al.  Multiaxial fatigue behaviour of maraging steel produced by selective laser melting , 2021 .

[36]  David Taylor,et al.  Geometrical effects in fatigue: a unifying theoretical model , 1999 .

[37]  Andrea Carpinteri,et al.  Multiaxial fatigue assessment using a simplified critical plane-based criterion , 2011 .

[38]  R. Branco,et al.  Fatigue behaviour and life prediction of lateral notched round bars under bending–torsion loading , 2014 .

[39]  H. Neuber Theory of Stress Concentration for Shear-Strained Prismatical Bodies With Arbitrary Nonlinear Stress-Strain Law , 1961 .

[40]  Ding Liao,et al.  Recent advances on notch effects in metal fatigue: A review , 2020 .

[41]  G. Glinka,et al.  A method of elastic-plastic stress and strain calculation at a notch root , 1981 .