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Numerical study of the crack growth variability under irregular loading

https://doi.org/10.26896/1028-6861-2021-87-5-56-60

Abstract

Estimation of the scatter of the durability at the second stage of fatigue, namely at the stage of crack propagation is a problem of scientific and obvious practical importance: machines operate according to their technical condition, which means monitoring of the actual crack length during their service life. The limits of the spread of the strength values at the stage of crack propagation in aluminum samples are studied using published data and a previously developed model. In view of the great importance of this problem, a special simulation model was used to generate the extrema of a random sequence based on target Markov matrices. On the one hand, this simulation method guarantees the characteristic traits of real sequence in exploitation (TWIST standard in this example). On the other hand, it contains reasonable randomness — these two parts together provide an opportunity to study the variability of the crack growth rate. For the simulation experiment, literature data on aluminum and steel samples were used along with popular fatigue crack growth models (Paris, Foreman and Willenborg models). In addition, the Miner’s summation rule was quantitatively tested to estimate the crack growth resistance coefficient under various loads. The agreement with the literature experimental data is shown. Preliminary data on the effect of the type of loading (random or block) on the durability are given on the basis of scientific literature data. The proposed simulation method can be useful for testing various models. It is also intended to develop an experimental design for laboratory testing in the future.

About the Authors

I. V. Gadolina
Mechanical Engineering Research Institute, Russian Academy of Sciences
Russian Federation

Irina V. Gadolina

4, Maly Kharitonyevsky per., Moscow, 101990



R. V. Voronkov
N. E. Zhukovsky Central Aerohydrodynamic Institute (TsAGI)
Russian Federation

Rostilav V. Voronkov

1, Zhukovskogo ul., Zhukovsky, Moscow obl., 140180



References

1. Murakami Y. Metal Fatigue: Effects of Small Defects and Nonmetallic Inclusions. — Elsevier Science, 2002. — 369 p.

2. Nourian A., Fatemi A. Variable amplitude fatigue behavior and modeling of cast aluminum / Fatigue Fract Eng Mater Struct. 2021. P. 11. DOI: 10.1111/ffe.13420

3. Miner M. A. Cumulative damage in fatigue / J. Appl. Mech. 1945. Vol. 67. P. A159 – A164.

4. Rozumek D., Lewandowski J., Lesiuk G., José C. Crack propagation under cyclic bending in welded specimens after heat treatment / September 2018. Conference: 19th Int. Colloquium on Mechanical Fatigue of Metals. Mechanical Fatigue of Metals. P. 169 – 174.

5. Pluvinage G. On notch fracture mechanics / Zavod. Lab. Diagn. Mater. 2021. Vol. 87. N 2. P. 56 – 64. DOI: 10.26896/1028-6861-2021-87-2-56-64 [in Russian].

6. Stephens R. et al. Metal fatigue in engineering. Second edition. — John Willey and Sons, 2001. — 472 p.

7. Ribeiro A. S. et al. Variable amplitude fatigue crack growth modelling / Mecânica Experimental, Revista da Associação Portuguesa de Análise Experimental de Tensões. 2011. Vol. 19. P. 33 – 44 [in Portuguese].

8. Gadolina I. V., Bautin A. A., Plotnikov E. V. Studying the Crack Growth Rate Variability by Applying the Willenborg’s Model to the Markov’s Simulated Trials / Hu Z., Petoukhov S., He M. (eds). Advances in Intelligent Systems, Computer Science and Digital Economics. CSDEIS 2019. Advances in Intelligent Systems and Computing. Vol 1127. — Springer, Cham, 2020. P. 175 – 184. DOI: 10.1007/978-3-030-39216-1_17.

9. Gadolina I., Romanov A., Bautin A., Papic L. An optimal experiment planning in the problem of longevity evaluation at crack propagation stage /IOP Conference Series Materials Science and Engineering. January 2021. DOI: 10.1088/1757-899X/1023/1/012011

10. Makhutov N. A. et al. Imitation of Random Sequences of Extremums in Fatigue Tests with Irregular Loading / Russ. Eng. Res. 2020. Vol. 40(8). P. 614 – 621.

11. Willenborg J., Engle R. H., and Wood H. A. AFFDL-TM-71-1 FBR WPAFB OH. 1971.

12. Dowling N. E. Fatigue Failure Predictions for Complex Load Versus Time Histories / J. Eng. Mater. Technol. ASME. 1983. Vol. 105. July. P. 206 – 214.

13. Gadolin A. V. On the resistance of the walls of guns to the pressure of powder gases / Artiller. Zh. 1858. N 3. P. 28 – 75 [in Russian].

14. State Standard GOST 25.101–83. Strength calculation and testing. Representation of random loading of machine elements and structures and statistical evaluation of results. — Moscow: Standartinform, 2005. — 25 p. [in Russian].

15. Lowak H., Huth H. In: Bericht Nr. TB-171, Fraunhofer-Institut fur Betriebsfestigkeit (LBF), Darmstadt, 1984. — 105 p.

16. Heuler P., Bruder T., Klatschke H. Standardised load-time histories — a contribution to durability issues under spectrum loading / Mat.-wiss. Werkstofftech. 2005. Vol. 36. N 11. DOI: 10.1002/mawe.200500936

17. Adler Ju. P. Introduction into the experiment planning. Tutorial — Moscow: MISIS, 2014. — 36 p. [in Russian].

18. Savkin A. N., Andronik A. V., and Sedov A. A. Computer Modeling and Analysis of Strength of Constructions under Alternating Load: Monograph. — Volgograd: Volgograd. Gos. Tekhn. Univ., 2017 [in Russian].

19. R Core Team. R 2020 A language and environment for statistical computing R Foundation for Statistical Computing. Vienna, Austria. https://www.R-project.org


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For citations:


Gadolina I.V., Voronkov R.V. Numerical study of the crack growth variability under irregular loading. Industrial laboratory. Diagnostics of materials. 2021;87(5):56-60. https://doi.org/10.26896/1028-6861-2021-87-5-56-60

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ISSN 1028-6861 (Print)
ISSN 2588-0187 (Online)