PSI - Issue 23

I.S. Nikitin et al. / Procedia Structural Integrity 23 (2019) 131–136 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

6

136

Table 1.Experimental and calculated data.  (MPa)  (MPa) 

     experimental, Nishihara and Kawamoto (1945)

     Carpinteri, Carpinteri et al. (2002)

     numerical, Papadopoulos (2001)

     analytical

0.00 201.11 162.85 195.69 274.68 137.34 141.95 171.18 255.06 127.53 147.15 177.56 255.06 127.53 152.45 184.23 264.87 132.44

0 0 0

0.249 0.194 0.128 0.177 0.090 0.120 0.045 0.158 0.000 0.000

0.250 0.193 0.125 0.197 0.119 0.206 0.094 0.207 0.076 0.055

0.250 0.193 0.125 0.193 0.125 0.213 0.125 0.000 0.000 0.000

0.250 0.193 0.125 0.193 0.125 0.213 0.125 0.000 0.000 0.000

6  6  3  3  2  2  2 

308.03

63.86

5. Conclusions The analytical procedure to calculate the critical plane orientation was obtained in the case of fatigue damage’s development for the well-known fatigue criterion proposed by Papadopoulos. Arbitrary phase shifts were taken into account for a multiaxial cyclic loading for the classic fatigue range – high-cycle fatigue. Comparison between analytical, numerical solutions and experimental data was made. The assessment of amount of cycles N to crack initiation was given based on the calculations mentioned above.

Acknowledgements The work was supported by RSF, grant № 19-19-00705.

References

Findley, W., 1959.A theory for the effect of mean stress on fatigue of metals under combined torsion and axial load or bending. J. of Eng. for Indust., 301-306. Papadopoulos, I.V., 2001. Long life fatigue under multiaxial loading. International Journal of Fatigue 23, 839-849. Morel, F., 2000.A critical plane approach for life prediction of high cycle fatigue under multiaxial variable amplitude loading. Int. J. of Fatigue 22(2), 101-119. Carpinteri, A., Karolczuk, A., Macha, E., Vantadori, S., 2002.Expected position of the fatigue plane by using the weighted mean principal Euler angles. International Journal of Fatigue 115, 87-99. Banvillet, A., Palin-Luc, T., Lasserre, S., 2003. A volumetric energy based high cycle multiaxial fatigue criterion. International Journal of Fatigue 25(8), 755-769. Nikitin, A., Palin-Luc, T., Shanyavskiy, A., 2016. Fatigue crack initiation and growth on an extruded titanium alloy in gigacycle regime: comparison between tension and torsion loadings. 21st European Conference on Fracture, ECF21, Jun 2016, Catane, Italy. Bourago, N.G., Zhuravlev, A.B., Nikitin, I.S., 2011. Models of multiaxial fatigue fracture and service life estimation of structural elements. Mechanics of Solids 46(6), 828-838. Nikitin, I.S., Burago, N.G., Nikitin, A.D., Yakushev, V.L., 2017. Determination of the critical plane and assessment of fatigue durability under various cyclic loading regimes. PNRPU Mechanics Bulletin 4, 238-252. Nishihara, T., Kawamoto, M., 1945.The strength of metals under combined alternation bending and torsion with phase difference. Memories of the College of Engineering, Kyoto Imperial University 11, 85-112.