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A Simplified Probabilistic Approach to Estimating the Safety Factors of Crack Resistance

  • RELIABILITY, STRENGTH, AND WEAR RESISTANCE OF MACHINES AND STRUCTURES
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Abstract

The correlation dependences between the safety factors of the yield stress and the safety factors of the crack resistance characteristics (fracture viscosity, crack resistance diagram, critical J integral, and crack-tip opening displacement) are provided. It is proposed to calculate the probabilistic safety factors at preset failure probabilities by means of the probabilistic safety factors of the yield stress, taking into account their correlation, as well as the independence of the static mechanical performance variation coefficients from the type of limit state. The results of calculating the probabilistic safety factors applied to fracture viscosity and the crack resistance diagram are provided.

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REFERENCES

  1. Parton, V.Z. and Morozov, E.M., Mekhanika uprugoplasticheskogo razrusheniya (Mechanics of Elastoplastic Fracture), Moscow: Nauka, 1985.

  2. Makhutov, N.A., Deformatsionnye kriterii razrusheniya i raschet elementov konstruktsii na prochnost’ (Deformation Criteria for Fracture and Strength Analysis of Structural Elements), Moscow: Mashinostroenie, 1981.

  3. Matvienko, Yu.G., Modeli i kriterii mekhaniki razrusheniya (Models and Criteria for Fracture Mechanics), Moscow: FIZMATLIT, 2006.

  4. Matvienko, Yu.G., Dvukhparametricheskaya mekhanika razrusheniya (Two-Parameter Fracture Mechanics), Moscow: FIZMATLIT, 2020.

  5. Brickstad, B., Bergman, M., Andersson, P., Dahlberg, L., Sattari-Far, I., and Nilsson, F., Procedures used in Sweden for safety assessment of components with cracks, Int. J. Pressure Vessels Piping, 2000, vol. 77, p. 877.

    Article  Google Scholar 

  6. Bezopasnost’ Rossii. Funktsionirovanie i razvitie slozhnykh narodnokhozyaistvennykh, tekhnicheskikh, energeti-cheskikh, transportnykh sistem, sistem svyazi i kommunikatsii (Security of Russia. Functioning and Development of Complex National Economic, Technical, Energy, Transport, and Communications Systems), Moscow: MGF Znanie, 1998.

  7. Wilson, R., A comparison of the simplified probabilistic method in R6 with the partial safety factor approach, Eng. Failure Anal., 2007, vol. 14, p. 489.

    Article  Google Scholar 

  8. Roos, E., Wackenhut, G., Lammert, R., and Schuler, X., Probabilistic safety assessment of components, Int. J. Pressure Vessels Piping, 2011, vol. 88, p. 19.

    Article  Google Scholar 

  9. Burdekin, F.M., General principles of the use of safety factors in design and assessment, Eng. Failure Anal., 2007, vol. 14, p. 420.

    Article  Google Scholar 

  10. Kapur, K.C. and Lamberson, L.R., Reliability in Engineering Design, Wiley, 1977.

    Google Scholar 

  11. Bolotin, V.V., Resurs mashin i konstruktsii (Useful Life of Machines and Structures), Moscow: Mashinostroenie, 1990.

  12. Citarella, R. and Apicella, A., Advanced design concepts and maintenance by integrated risk evaluation for aerostructures, Struct. Durability Health Monit., 2006, vol. 2, no. 3, pp. 183–196.

    Google Scholar 

  13. Haldar, A. and Mahadevan, S., Probability, Reliability and Statistical Methods in Engineering Design, New York: Wiley, 2000.

    Google Scholar 

  14. Sprung, I., Invariance of safety factor in probabilistic fracture mechanics analysis, Int. J. Pressure Vessels Piping, 2003, vol. 80, p. 367.

    Article  Google Scholar 

  15. Sandvik, A., Ostby, E., and Thaulow, C., Probabilistic fracture assessment of surface cracked pipes using strain-based approach, Eng. Fract. Mech., 2006, vol. 73, p. 1491.

    Article  Google Scholar 

  16. Matvienko, Yu.G., The simplified approach for estimating probabilistic safety factors in fracture mechanics, Eng. Failure Anal., 2020, vol. 117, artic. no. 104814.

  17. API 579-1/ASME FFS-1, Fitness-For-Service, American Petroleum Institute, 2007.

  18. BS 7910:2013+a1:2015, Guide to Methods for Assessing the Acceptability of Flaws in Metallic Structures, London: BSI Standards Limited, 2015.

  19. Procedure for Safety Assessment of Components with Defects—Handbook Edition 5, Stockholm: Kiwa Inspecta Technology AB, 2018.

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Funding

This work was supported by the Russian Science Foundation, project 18-19-00351.

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Authors and Affiliations

  1. Mechanical Engineering Research Institute of the Russian Academy of Sciences, 101990, Moscow, Russia

    Yu. G. Matvienko

Authors
  1. Yu. G. Matvienko
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Correspondence to Yu. G. Matvienko.

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Translated by S. Kuznetsov

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Matvienko, Y.G. A Simplified Probabilistic Approach to Estimating the Safety Factors of Crack Resistance. J. Mach. Manuf. Reliab. 50, 200–207 (2021). https://doi.org/10.3103/S1052618821030092

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  • DOI: https://doi.org/10.3103/S1052618821030092

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