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Model of Damaged Medium for Describing Fatigue Fracture of Materials and Structures

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Proceedings of the 7th International Conference on Fracture Fatigue and Wear (FFW 2018)

Abstract

The issue of evaluating service life of engineering objects, the exploitation properties of which are characterized by multi-parametric nonstationary thermal-mechanical effects, is discussed. The main degradation mechanisms of structural materials (metals and their alloys) are considered. To evaluate the stressed-strained state (SSS) and fatigue life of materials and structures from the modern viewpoint of mechanics of damaged media (MDM), a mathematical model is developed which describes processes of cyclic thermoplastic deformation and fatigue damage accumulation in structural alloys under multiaxial non-proportional paths of combined thermal-mechanical loading.

The reliability of the defining relations of MDM for low-cycle modes of thermal-cyclic loading is corroborated by comparing the numerical and experimental results on fatigue life of a compact notched specimen in the conditions of non-uniaxial stressed state under block-type modes of thermal-cyclic loading. The results of numerically modeling fatigue life of a compact specimen with a blunted notch are given for two loading histories. It is shown that several cycles of intensive loading at the beginning of the deformation history can result in that the rule of linear summation of damage may yield inaccuracies of both conservative and non-conservative character. The effect of the inclination angle of cooling channels on thermal-cyclic life of combustion chamber tubes has been numerically analyzed. It is shown that the MDM model adequately describes the test data and can be used for evaluating thermal-cyclic life of materials and structures under multiaxial non-proportional paths of thermal-cyclic loading.

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References

  1. Mitenkov, A.F., Кaydalov, V.B., Кorotkikh, Yu.G.: Methods of determining service life of nuclear power plants. Mashinostroyeniye, Moscow (2007)

    Google Scholar 

  2. Volkov, I.A., Кorotkikh, Yu.G.: The Equation of State of Damaged Viscoelastoplastic Media. Fizmatlit, Moscow (2008)

    Google Scholar 

  3. Collins, J.: Damage of materials in structures. Analysis, prediction, corroboration. Mir, Moscow (1984). (in Russian)

    Google Scholar 

  4. Pezhina, P.: Modeling supercritical behavior and failure of a dissipative solid. Theor. Found. Eng. Des. 106(4), 107–117 (1984)

    Google Scholar 

  5. Chaboche, J.L.: Continuous damage mechanics a tool to describe phenomena before crack initiation. Eng. Des. 64, 233–247 (1981)

    Google Scholar 

  6. Garoud, Y.S.: A new approach to analyzing fatigue under multiaxial loading. Theor. Found. Eng. Des. 103(2), 41–51 (1981)

    Google Scholar 

  7. Bodner, S.R., Lindholm, U.S.: Criteria of damage growth for time-dependent failure of materials. Theor. Found. Eng. Des. 2, 51–53 (1976)

    Google Scholar 

  8. Lemetre, G.: A continual model of damage, used for analyzing failure of plastic materials. Theor. Found. Eng. Des. 107(1), 90–97 (1985)

    Google Scholar 

  9. Saucy: Models of failure in the conditions of multiaxial fatigue. Theor. Found. Eng. Des. 9, 9–21 (1988)

    Google Scholar 

  10. Volkov, I.A., Кorotkikh, Yu.G., Tarasov, I.S.: Modeling complex plastic deformation and failure of metals under multiaxial non-proportional loading. PMTF 5, 193–205 (2009)

    Google Scholar 

  11. Volkov, I.A., Кorotkikh, Yu.G.: Modeling the processes of fatigue life of materials and structures under low-cycle loading. Mechanics of solids. Izvestiya RAN 3, pp. 66–78 (2014)

    Google Scholar 

  12. Sobolev, N.D., Egorov, V.I., Pirogov, E.N.: Studying damage accumulation in the conditions of an inhomogeneous stressed state under thermal-fatigue loading. Strength and deformation of materials in non-uniform physical fields. Iss. II. Collection of articles under the editorship of Prof. D.T.S. Ya.B. Fridman. MIFI. Atomizdat, pp. 26–33 (1968)

    Google Scholar 

  13. Dowling, N.E.: Analysis of fatigue life for complex loading histories (in Russian). Theor. Found. Eng. Des. 3, 69–79 (1983)

    Google Scholar 

  14. Volkov, I.A., Tarasov, I.S., Fomin, M.N., Yereyev, M.N.: The numerical analysis of fatigue life of a compact specimen with a blunted notch under block-type modes of low-cycle loading. Vestnik Nauchno-Tehnicheskogo Razvitiya 41(1), 39–51 (2011)

    Google Scholar 

  15. Bychkov, N.G., Lepyoshkin, A.R., Pershin, A.V., Rekin, A.D., Lukin, V.P.: Studying thermal-cyclic life of parts with various inclinations of the cooling channels. Aviat. Airsp. Tech. Technol. 10(67), 113–117 (2009)

    Google Scholar 

  16. Volkov, I.A., Igumnov, L.A., Shishulin, D.N., Tarasov, I.S., Guseva, M.A.: The numerical analysis of thermal-cyclic life of models of heat tubes with various inclinations of the cooling channels. Probl. Strength Plast. 79(2), 220–233 (2017)

    Article  Google Scholar 

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Acknowledgements

The work is financially supported by the Federal Targeted Program for Research and Development in Priority Areas of Development of the Russian Scientific and Technological Complex for 2014–2020 under the contract No. 14.578.21.0246 (unique identifier RFMEFI57817X0246).

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Correspondence to L. A. Igumnov .

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Volkov, I.A., Igumnov, L.A., Litvinchuk, S.Y., Vorobtsov, I.V., Grigoryev, M.V. (2019). Model of Damaged Medium for Describing Fatigue Fracture of Materials and Structures. In: Abdel Wahab, M. (eds) Proceedings of the 7th International Conference on Fracture Fatigue and Wear. FFW 2018. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-0411-8_12

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  • DOI: https://doi.org/10.1007/978-981-13-0411-8_12

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