PSI - Issue 2_B

K.K. Tang et al. / Procedia Structural Integrity 2 (2016) 1878–1885 K. K. Tang, F. Berto and H. Wu / Structural Integrity Procedia 00 (2016) 000–000

1885

8

Last but not least, all fatigue models have their limitations as well as strong merits. No model can possibly claim to be complete. Current work on the variation of transitional functions in MFCGM offers a possible perspective to study how the scale effects interact at various scale levels. Further investigation at lower scales such as nano-micro will be left for our future work. Acknowledgements The authors wish to acknowledge the financial support from National Natural Science Foundation of China (NSFC) under grant No. 11302078, 11302150, as well as the Program for Young Excellent Talents in Tongji University. References Broek, D., Schijive, J., 1963. The influence of the mean stress on the propagation of fatigue cracks in aluminum alloy sheet. National Aeronautics and Astronautics Research Institute NLR-TR M.2111, Amsterdam, 1-57. Sih, G. C., 1974. Strain-energy-density factor applied to mixed mode crack problems. International Journal of Fracture 10: 305-321. Sih, G. C., 1991. Mechanics of Fracture Initiation and Propagation. Boston: Kluwer Academic Publishers, pp.289. Sih, G. C., Tang, X. S., 2004. Dual scaling damage model associated with weak singularity for macroscopic crack possessing micro/mesoscopic notch tip. Theoretical and Applied Fracture Mechanics 42: 1-24. Tang, X. S., Sih, G. C., 2005. Weak and strong singularities reflecting multiscale damage: micro-boundary conditions for free-free, fixed-fixed and free-fixed constraints. Theoretical and Applied Fracture Mechanics 43: 1-58. Sih, G. C., Tang, X. S., 2005. Scaling of volume energy density function reflecting damage by singularities at macro-, meso- and microscopic level. Theoretical and Applied Fracture Mechanics 43: 211-231. Sih, G. C., Tang, X. S., 2006. Simultaneous occurrence of double micro/macro stress singularities for multiscale crack model. Theoretical and Applied Fracture Mechanics 46: 87-104. Sih, G. C., Tang, X. S., 2007. Form-invariant representation of fatigue crack growth rate enabling linearization of multiscale data. Theoretical and Applied Fracture Mechanics 47: 1-14. Sih, G. C., 2009. Crack tip mechanics based on progressive damage of arrow: hierarchy of singularities and multiscale segments. Theoretical and Applied Fracture Mechanics 51: 11-32. McDowell, D. L., Dunne, F., 2010. Microstructure-sensitive computational modeling of fatigue crack formation. International Journal of Fatigue 32:1521-1542. Sih, G. C., Tang, K. K., 2011. Assurance of reliable time limits in fatigue evolution depending on choice of failure simulation: energy density versus stress intensity. Theoretical and Applied Fracture Mechanics 55: 39–51. Berto, F., Lazzarin, P., 2009. A review of the volume-based strain energy density approach applied to V-notches and welded structures. Theoretical and Applied Fracture Mechanics 52: 183-194. Tang, K. K., 2013. Fracture control over thermal–mechanical creep and fatigue crack growth in near-alpha titanium alloy. Engineering Fracture Mechanics 110: 300-313. Sih, G. C., 2014. Short and long crack data for fatigue of 2024-T3 Al sheets: binariness of scale segmentation in space and time. Fatigue &Fracture of Engineering Materials & Structures 37: 484-493. Sih, G. C., Tang, K. K., 2014. Short crack data derived from the fatigue data of 2024-T3 Al with long cracks: Load, geometry and material effects locked-in by transitional functions. Theoretical and Applied Fracture Mechanics 71: 2-13. Sih, G. C., 2014. Scalability and homogenization of transitional functions: Effects of non-equilibrium and non-homogeneity. Theoretical and Applied Fracture Mechanics 71: 14-20. Berto, F., Lazzarin, P., 2014. Fatigue strength of Al7075 notched plates based on the local SED averaged over a control volume. Science China Physics, Mechanics & Astronomy. 57, 30–38. Berto, F., Gallo, P., Lazzarin, P., 2014. High temperature fatigue tests of un-notched and notched specimens made of 40CrMoV13.9 steel. Materials and Design 63: 609–619. Sih, G. C., 2014. From monoscale to multiscale modeling of fatigue crack growth: Stress and energy density factor. Science China Physics, Mechanics & Astronomy. 57, 39–50. Tang, K. K., Li, S. H., 2015. Interactive creep–fatigue crack growth of 2024-T3 Al sheets: selective transitional functions. Fatigue &Fracture of Engineering Materials & Structures 38: 597-609. Tang, K. K., Wu, H., Berto, F., 2015. Fatigue data interpretation of 7075-T6 Al sheets by energy density factor in a dual scale model Theoretical and Applied Fracture Mechanics 79: 98-104. Tang, K. K., Berto, F., Wu, H., 2016. Fatigue crack growth in the micro to large scale of 7075-T6 Al sheets at different R ratios. Theoretical and Applied Fracture Mechanics 83: 93-104.