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Numerical prediction of fatigue crack growth based on cumulative plastic strain versus experimental results for AA6082-T6

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Abstract

Fatigue crack growth (FCG) is predicted using the finite element method, considering the accumulated plastic strain at the crack tip as crack driving force. The objective here is to compare numerical predictions with experimental measurements obtained on MT specimens made of 6082-T6 aluminium. The presented numerical model was able to predict the effect of ΔK, stress ratio and overloads on the FCG rate evolution with a good accuracy. This clearly indicates that cyclic plastic deformation acting at the crack tip is the main damage mechanism governing the FCG. On the other hand, the results also indicate that the accuracy of the numerical solutions, especially for overloads, needs to be improved, which suggests the need to include other damage mechanisms in the numerical model.

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Abbreviations

a 0 :

Initial crack length

a OL :

Crack length where the overload was applied

AA:

Aluminum alloy

CTOD:

Crack tip opening displacement

C x, X Sat :

Material constants of Lemaître-Chaboche kinematic hardening law

da/dN :

Fatigue crack growth rate

E:

Young’s modulus

Fmax :

Maximum applied force

Fmin :

Minimum applied force

Fop :

Crack opening force

FCG:

Fatigue crack growth

K max :

Maximum stress intensity factor

K min :

Minimum stress intensity factor

K OL :

Overload stress intensity factor

m:

Paris law exponent

OLR:

Overload ratio

R:

Stress ratio

U*:

Crack closure level

ΔK :

Stress intensity factor range (Kmax–Kmin)

ΔK BL :

Stress intensity factor range of the baseline loading

ΔN :

Number of cycles between crack propagation

Δε p :

Accumulated plastic strain

Δε p c :

Critical value of accumulated plastic strain

\({\bar {\varepsilon }^p}\)  :

Equivalent plastic strain

\({\dot{\bar {\varepsilon} }^p}\) :

Equivalent plastic strain rate

X :

Back stress tensor

Y 0, Y sat, C Y :

Material constants of Voce isotropic hardening law

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Funding

This research was funded by Portuguese Foundation for Science and Technology (FCT) under the project with reference PTDC/EME-EME/31657/2017 and by UIDB/00285/2020.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Centre for Mechanical Engineering, Materials and Processes (CEMMPRE), University of Coimbra, Coimbra, Portugal

    D. M. Neto, J. Pedro, M. F. Borges, L. F. P. Borrego, E. R. Sérgio & F. V. Antunes

  2. Department of Mechanical Engineering, Coimbra Polytechnic - ISEC, Rua Pedro Nunes, 3030-199, Coimbra, Portugal

    L. F. P. Borrego

Authors
  1. D. M. Neto
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  2. J. Pedro
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  3. M. F. Borges
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  6. F. V. Antunes
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Contributions

FVA: Conceptualization, FVA and LFPB: methodology, DMN: software, MFB: formal analysis, MFB: investigation, MFB and ERS: writing—original draft preparation, FVA and DMN: writing—review and editing. All authors have read and agreed to the published version of the manuscript.

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Correspondence to F. V. Antunes.

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The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

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Neto, D.M., Pedro, J., Borges, M.F. et al. Numerical prediction of fatigue crack growth based on cumulative plastic strain versus experimental results for AA6082-T6. Int J Fract 240, 167–181 (2023). https://doi.org/10.1007/s10704-022-00680-w

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