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Numerical analysis for prediction of fatigue crack opening level

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Abstract

Finite element analysis (FEA) is the most popular numerical method to simulate plasticity-induced fatigue crack closure and can predict fatigue crack closure behavior. Finite element analysis under plane stress state using 4-node isoparametric elements is performed to investigate the detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The mesh of constant size elements on the crack surface can not correctly predict the opening level for fatigue crack as shown in the previous works. The crack opening behavior for the size mesh with a linear change shows almost flat stress level after a crack tip has passed by the monotonic plastic zone. The prediction of crack opening level presents a good agreement with published experimental data regardless of stress ratios, which are using the mesh of the elements that are in proportion to the reversed plastic zone size considering the opening stress intensity factors. Numerical interpolation results of finite element analysis can precisely predict the crack opening level. This method shows a good agreement with the experimental data regardless of the stress ratios and kinds of materials.

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Abbreviations

Δa :

Element size on crack surface

Δa ini :

Initial crack size

Δa fin :

Final crack size

H’ :

Linear strain hardening rate

k :

Correction factor

AK :

Stress intensity factor range

AK off :

Effective stress intensity factor range

K op :

Crack opening stress intensity factor

ΔL :

Stress range

R :

Stress ratio

α :

Poisson’s ratio

Δγρ :

Reversed plastic zone size

σ opP :

Crack opening stress

σ y :

Yield stress

ΔSeff :

Effective stress ranges

Smax :

Maximum stress

S ct :

Crack closing stress

AS :

Load range

U :

Effective stress intensity factor range ratio

U assume :

Assumed effective stress intensity factor range ratio

U cal :

Calculated effective stress intensity factor range ratio

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Authors and Affiliations

  1. Department of Mechatronics Engineering, College of Engineering, TongMyong University of Information Technology, 535 Yongdang- dong, Nam-gu, 608-711, Busan, Korea

    Hyeon Chang Choi

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  1. Hyeon Chang Choi
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Correspondence to Hyeon Chang Choi.

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Choi, H.C. Numerical analysis for prediction of fatigue crack opening level. KSME International Journal 18, 1989–1995 (2004). https://doi.org/10.1007/BF02990441

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  • DOI: https://doi.org/10.1007/BF02990441

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