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Numerical Modeling of Fatigue Cracks Growth in Thin Isotropic Plates Considering the Damage Accumulation History

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Advances in Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 191))

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Abstract

The two-stage model of propagation of mode I fatigue crack is constructed for thin isotropic finite plates under uniaxial symmetrical and asymmetrical cyclic loading. The model is based on the approach combining the concepts of fracture mechanics and continuum damage mechanics. Accumulation of fatigue damage along the growing crack front is considered the main mechanism controlling the propagation of fatigue cracks. Numerical simulation of fatigue crack growth makes it possible to take into account the history of damage accumulation along the growing crack front. The obtained kinetics of propagation of a fatigue crack under uniaxial asymmetric tension-compression loading was compared to the experimental data. The results of the computations are in satisfactory agreement with the experimental data.

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References

  • Andreikiv A (1982) Spatial problems of the theory of cracks. Nauk, Dumka, Kyiv

    Google Scholar 

  • Bolotin V (1983) Fatigue crack growth equations. Izv. Academy of sciences of the USSR. Mech Rigid Body 7:153–160

    Google Scholar 

  • Bolotin V (1985) A unified approach to damage accumulation and fatigue crack growth. Eng Fract Mech 22(3):387–398

    Article  Google Scholar 

  • Bolotin V (1987) Model of a fatigue crack with a tip region. Sov Appl Mech 23:1159–1165

    Article  ADS  MATH  Google Scholar 

  • Bolotin V (1990) Resource of machines and constructions. Mashinostroenie, Moscow

    Google Scholar 

  • Cherepanov G (1968) On the growth of cracks under cyclic loading. J Appl Mech Tech Phys 6:64–75

    Google Scholar 

  • Golub V, Panteleyev E (1993) Fatigue damage and cyclic life-time of cracked isotropic plates considering two-stage fracture. Fatigue 93. Proc Intern Cong Fatigue EMAS 1:275–281

    Google Scholar 

  • Golub V, Panteleyev E (2000) Subcritical growth of high-cycle fatigue cracks in finite thin isotropic plates. Int Appl Mech 36:938–947

    Article  Google Scholar 

  • Golub V, Plashchiskaya A (1994) Fatigue fracture model for thin isotropic plates with cracks in axial loading. Int Appl Mech 30(7):520–529

    Article  Google Scholar 

  • Golub V, Plashchiskaya A (2018) On the theory of growth of fatigue mode i cracks in thin isotropic plates of finite size under uniaxial tension-compression. Int Appl Mech 54(2):188–206

    Article  Google Scholar 

  • Golub V, Pelykh V, Pogrebnyak A (2010) Prediction of fatigue life of prismatic metal rods under asymmetric tension-compression by the method of equivalent stresses. Bull Nat Tech Univ Ukraine KPI 58:177–182

    Google Scholar 

  • Grover H, Hyler W, Kuhn P, Landers C, Hawell F (1953) Axial-load fatigue properties of 24S-T and 75S-T aluminum alloys as determined in several laboratories. NACA-TN-2928. Washington

    Google Scholar 

  • Hudson C, Scardina J (1967) Effect of stress ratio on fatigue crack growth in 7075-T6 aluminum-alloy sheet. NASA TMX-60125. Washington

    Google Scholar 

  • Newman J (1971) An improved method of collocation for the stress analysis of cracked plate with various shaped boundaries. NASA TN D-6376. Washington

    Google Scholar 

  • Newman J (1992) FASTRAN-II–A fatigue crack growth structural analysis program. NASA-TM-104159. Washington

    Google Scholar 

  • Nott J (1978) Fundamentals of fracture mechanics. Metallurgy, Moscow

    Google Scholar 

  • Paris P, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng 85(4):528–534

    Article  Google Scholar 

  • Paris PC, Gomez MP, Anderson WE (1961) A rational analytic theory of fatigue. Trend Eng 13(1):9–14

    Google Scholar 

  • Rice J (1967) Mechanics of crack tip deformation and extension by fatigue. Fatigue crack propagation. ASTM STP 415. Am Soc Testing Mats 247–309

    Google Scholar 

  • Tada H (1971) A note on the finite width correction to the stress intensity factor. Eng Fract Mech 3(3):345–347

    Article  Google Scholar 

Download references

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Correspondence to Vladislav Golub .

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Golub, V., Plashchynska, A. (2023). Numerical Modeling of Fatigue Cracks Growth in Thin Isotropic Plates Considering the Damage Accumulation History. In: Guz, A.N., Altenbach, H., Bogdanov, V., Nazarenko, V.M. (eds) Advances in Mechanics. Advanced Structured Materials, vol 191. Springer, Cham. https://doi.org/10.1007/978-3-031-37313-8_7

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