13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- Acknowledgements We thank M. Wünsche for fruitful discussions regarding the boundary element method. The authors gratefully acknowledge financial support of this study by Deutsche Forschungsgemeinschaft (DFG) in the framework of the priority program Life∞ (SPP 1466). References [1] C. Berger, H.-J. Christ, Fifth international conference on very high cycle fatigue, DVM, Berlin, Germany, 2011. [2] J. Man, K. Obrtlik, and J. Polak, Study of surface relief evolution in fatigued 316L austenitic stainless steel by AFM, Mat. Sci. Eng. A, 351, (2003) 123-132. [3] H. Mughrabi, Cyclic slip irreversibilities and the evolution of fatigue damage, Metall. Mater. Trans. A, 40A, (2008) 1257-1279. [4] J. Yang, Y.Li, Z. Cai, S. Li, C. Ma, E. Han, W. Ke, Evolution of persistent slip bands and simulation of its stress field in a fatigued copper single crystal, Mat. Sci. Eng. A, 345, (2003) 164-171. [5] D. Zhou, J.C. Moosbrugger, D.J. Morrison, Finite element simulation of PSB macroband nucleation and propagation in single crystal nickel cycled at low plastic strain amplitudes, Int. J. Plasticity, 22, (2006) 1336-1366. [6] C. Müller-Bollenhagen, M. Zimmermann, H.-J.Christ, Adjusting the very high cycle fatigue properties of a metastable austenitic stainless steel by means of the martensite content, Procedia Engineering, 2, (2010) 1663-1672. [7] J.P. Hirth, J. Lothe, Theory of dislocations, 2nd ed., Krieger Publishing Company, 1992. [8] K. Tanaka, T. Mura, A dislocation model for fatigue crack initiation, J. Appl. Mech., 48, (1981) 97-103. [9] M. Kübbeler, I. Roth, U. Krupp, C.-P. Fritzen, H.-J.Christ, Simulation of stage I-crack growth using a hybrid boundary element technique, Eng. Fract. Mech., 78, (2011) 462-468. [10]M. Wünsche, Ch. Zhang, M. Kuna, S. Hirose, J. Sladek, V. Sladek, A hypersingular time-domain BEM for 2D dynamic crack analysis in anisotropic solids, Int. J. Numer. Meth. Eng., 78, (2009) 127-150. [11] C.-Y. Wang, Two-dimensional elastostatic Green's functions for general anisotropic solids and generalization of Stroh's formalism, Int. J. Solids Struct., 31, (1994) 2591-2597. [12] A. Stroh, Dislocations and cracks in anisotropic elasticity, Philos. Mag., 3, (1958) 625-646. [13]M.H. Aliabadi, The boundary element method, Vol. 2, John Wiley and Sons, 2002. [14] L. Gaul, S. Bohlen, S. Kempfle, Transient and Forced Oscillations of Systems with Constant Hysteretic Damping, Mech. Res. Comm., 12, (1985) 187-201.
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