Fatigue reliability evaluation using probability density evolution method

Liu, 1996, Three reliability methods for fatigue crack growth, Eng. Fract. Mech., 53, 733, 10.1016/0013-7944(95)00133-6 Oh, 1979, A diffusion model for fatigue crack growth, Proc. R. Soc. Lond. Ser. A Math. Phys. Sci., 367, 47 Leonel, 2010, Coupled reliability and boundary element model for probabilistic fatigue life assessment in mixed mode crack propagation, Int. J. Fatigue, 32, 1823, 10.1016/j.ijfatigue.2010.05.001 Liao, 1995, Cumulative fatigue damage dynamic interference statistical model, Int. J. Fatigue, 17, 559, 10.1016/0142-1123(96)81216-3 Besterfield, 1991, Fatigue crack growth reliability by probabilistic finite elements, Comput. Methods Appl. Mech. Eng., 86, 297, 10.1016/0045-7825(91)90225-U Ghanem, 1991 Xiang, 2011, Application of inverse first-order reliability method for probabilistic fatigue life prediction, Probab. Eng. Mech., 26, 148, 10.1016/j.probengmech.2010.11.001 Li, 2008, The principle of preservation of probability and the generalized density evolution equation, Struct. Saf., 30, 65, 10.1016/j.strusafe.2006.08.001 Chen, 2005, Dynamic response and reliability analysis of non-linear stochastic structures, Probab. Eng. Mech., 20, 33, 10.1016/j.probengmech.2004.05.006 Li, 2005, Dynamic response and reliability analysis of structures with uncertain parameters, Int. J. Numer. Methods Eng., 62, 289, 10.1002/nme.1204 Chen, 2007, The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters, Struct. Saf., 29, 77, 10.1016/j.strusafe.2006.02.002 Li, 2009 Yao, 2003 Miner, 1945, Cumulative damage in fatigue, J. Appl. Mech., 12, A159, 10.1115/1.4009458 Ni, 1997, Experiment verification of two-dimensional probabilistic miner's rule, J. Mech. Strength, 19, 52 Levy, 1955, Cumulative damage in fatigue. A method of investigation economical in specimens, Engineering, 179, 724