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Energy-Based Approach to Evaluation of Short Fatigue Crack Growth Rate in Plates

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Strength of Materials Aims and scope

The paper describes the energy approach, which is employed for the development of the calculation model to determine the subcritical growth period of short fatigue cracks in elastic-plastic plates using the specific energy components. The authors propose the formula for the approximate determination of the short crack tip opening displacement via the relative loading level of the plate and the stress intensity factor. The obtained results are compared with the known experimental data. From the proposed model and comparison of the obtained results with the experimental ones it follows that the crack growth rate can be different at similar stress intensity factors under various relative loading levels of the plates with a short crack. However, the proposed model retains the dependence of the short crack growth rate on the specific work of plastic deformations in the pre-fracture zone, or on the crack tip opening displacement with the unchanged averaged stresses.

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Abbreviations

l * :

critical crack length

l 0 :

initial crack length

p :

loading parameter of plate

δ t max (0), δ t min (0):

maximum and minimum crack tip opening displacements (CTOD) δ(t ) per cycle, respectively

δ fc :

critical CTOD value δ t (0) under cyclic loading

δ th max :

maximum threshold CTOD with no crack propagation

σ t :

average stress in the pre-fracture zone

α 0 :

constant defined from the experiment

V :

fatigue crack propagation rate

ξ:

relative loading level of plate

K Imin , K I max :

minimum and maximum values of stress intensity factor (SIF) per cycle, respectively

R :

stress ratio via SIF KI , R = K I min /K I max

R δ :

strain ratio via CTOD δ, Rδ = δ min /δ max

E :

Young’s modulus

K fc :

critical SIF value under cyclic loading

K th :

threshold SIF

N * :

subcritical fatigue crack growth period

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Authors and Affiliations

  1. Ivan Franko Lviv National University, Lviv, Ukraine

    O. E. Andreykiv, N. S. Shtayura & R. Ya. Yarema

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  1. O. E. Andreykiv
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  2. N. S. Shtayura
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  3. R. Ya. Yarema
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Correspondence to O. E. Andreykiv.

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Translated from Problemy Prochnosti, No. 6, pp. 53 – 63, November – December, 2017.

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Andreykiv, O.E., Shtayura, N.S. & Yarema, R.Y. Energy-Based Approach to Evaluation of Short Fatigue Crack Growth Rate in Plates. Strength Mater 49, 778–787 (2017). https://doi.org/10.1007/s11223-018-9923-7

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  • DOI: https://doi.org/10.1007/s11223-018-9923-7

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