Issue 47

D. Benasciutti et alii, Frattura ed Integrità Strutturale, 47 (2019) 348-366; DOI: 10.3221/IGF-ESIS.47.26 362 R EFERENCES [1] Cristofori, A. (2007). A new perspective in multiaxial fatigue damage estimation. PhD Thesis, University of Ferrara. [2] Cristofori, A., Susmel, L., Tovo, R. (2008). A stress invariant based criterion to estimate fatigue damage under multiaxial loading, Int. J. Fatigue, 30(9), pp. 1646–1658. DOI: 10.1016/j.ijfatigue.2007.11.006 [3] Cristofori, A., Benasciutti, D., Tovo, R. (2011). A stress invariant based spectral method to estimate fatigue life under multiaxial random loading, Int. J. Fatigue, 33(7), pp. 887–899. DOI: 10.1016/j.ijfatigue.2011.01.013 [4] Cristofori, A., Benasciutti, D. (2014). “Projection-by-Projection” approach: A spectral method for multiaxial random fatigue, SAE Technical Paper 2014-01-0924. DOI: 10.4271/2014-01-0924 [5] Benasciutti, D., Sherratt, F., Cristofori, A. (2016). Recent developments in frequency domain multi-axial fatigue analysis. Int. J. Fatigue, 91, pp. 397–413. DOI: 10.1016/j.ijfatigue.2016.04.012 [6] Papadopoulos, I.V., Davoli, P., Gorla, C., Filippini, M., Bernasconi, A. (1997). A comparative study of multiaxial high-cycle fatigue criteria for metals, Int J. Fatigue, 19(3), pp. 219–35. DOI: 10.1016/S0142-1123(96)00064-3 [7] Susmel, L, Lazzarin, P. (2002). A bi-parametric Wöhler curve for high cycle multiaxial fatigue assessment, Fatigue Fract. Engng. Mater. Struct., 25, pp. 63–78. DOI: 10.1046/j.1460-2695.2002.00462.x [8] Benasciutti, D. (2014). Some analytical expressions to measure the accuracy of the “equivalent von Mises stress” in vibration multiaxial fatigue, J. Sound Vib., 333(18), pp. 4326–4340. DOI: 10.1016/j.jsv.2014.04.047 [9] Kurek, M., Łagoda, T. (2011). Comparison of the fatigue characteristics for some selected structural materials under bending and torsion, Mater. Sci., 47(3), pp. 334–344. DOI: 10.1007/s11003-011-9401-x [10] Atzori, B., Berto, F., Lazzarin, P., Quaresimin, M. (2006). Multiaxial fatigue behaviour of a severely notched carbon steel, Int. J. Fatigue, 28, pp. 485–493. DOI:10.1016/j.ijfatigue.2005.05.010 [11] Papuga, J., Růžička, M. (2009). Aiming at stress-based critical plane multiaxial method for finite life calculation, in: C.M. Sonsino, P.C. McKeighan (Eds.), Proceedings of the Second Int. Conference on Material and Component Performance under Variable Amplitude Loading, Darmstadt, pp. 465–474. [12] Niełsony, A. (2010). Comparison of some selected multiaxial fatigue failure criteria dedicated for spectral method, J. Theor. Appl. Mech., 48(1), pp. 233–254. [13] Simbürger, A. (1975). Festigkeitsverhalten zäher Werkstoffe bei einer mehrachsigen, phasenverschobenen Schwingbeanspruchung mit körperfesten und veränderlichen Hauptspannungsrichtungen, LBF Frauhofer Institute, Darmstadt, Report No. FB-121 (in German). [14] Niełsony, A., Sonsino, C.M. (2008). Comparison of some selected multiaxial fatigue assessment criteria, LBF Fraunhofer Institute, Darmstadt, Report No. FB-234. [15] Benasciutti, D., Tovo, R. (2005). Spectral methods for lifetime prediction under wide-band stationary random processes, Int. J. Fatigue, 27(8), pp. 867–877. DOI: 10.1016/j.ijfatigue.2004.10.007 [16] Benasciutti, D., Tovo, R. (2006). Comparison of spectral methods for fatigue analysis of broad-band Gaussian random processes, Probab. Eng. Mech., 21(4), pp. 287–299. DOI: 10.1016/j.probengmech.2005.10.003 [17] Dirlik, T. (1985). Application of computers in fatigue analysis. PhD Thesis, Dept. of Engineering, University of Warwick, UK. [18] Pitoiset, X., Preumont, A. (2000). Spectral methods for multiaxial random fatigue analysis of metallic structures, Int. J. Fatigue, 22, pp. 541–550. DOI: 10.1016/S0142-1123(00)00038-4 [19] Benasciutti D., Carlet M., Zanellati D. (2018) A bandwidth correction to the Allegri-Zhang solution for accelerated random vibration testing. MATEC Web of Conferences, 165, pp. 07006. DOI: 10.1051/matecconf/201816507006 [20] Bendat, J.S., Piersol, A.G. (2010). Random data. Analysis and measurements procedures, 4 th ed., Wiley, USA. [21] Lutes, L.D., Sarkani, S. (2004). Random vibrations: analysis of structural and mechanical systems, Elsevier, USA. [22] Garbow, B.S. (1974). EISPACK – A package of matrix eigensystem routines, Comput. Phys. Commun., 7(4), pp. 179–184. DOI: 10.1016/0010-4655(74)90086-1 [23] Smith, B.T., Boyle, J.M., Garbow, B.S., Ikebe, Y., Moler, C.B. (1974). Matrix eigensystem routines – EISPACK Guide, 2nd ed., Lecture Notes in Computer Science, Springer, Berlin. DOI: 10.1007/3-540-07546-1 [24] Martin, R.S., Reinsch, C., and Wilkinson, J.H. (1968). Householder's Tridiagonalization of a Symmetric Matrix, Num. Math., 11, pp. 181–195. (Reprinted in: Wilkinson, J.H., Reinsch, C. (1971). 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