Abstract
In previous works, slope reliability against three-dimensional failures has been approached by space-domain methods. System reliability becomes tractable if second-moment uncertainty on shear resistance is characterized and analysed in the frequency domain (i.e., in terms of the spectral density function and not of the covariance function). The main features of the frequency method proposed here are: (1) Modes of failure are unrestricted within the class of plastic shear mechanisms; (2) a shear resistance is treated as a random field in three dimensions; the field must be homogeneous in the longitudinal direction (along the slope) but may be nonhomogeneous in transversal sections; (3) the probability distribution of modal resistance can be either normal or lognormal. Application to cylindrical failures in vertical cuts confirms that reliability is sensitive to uncertainty on the mean of the shear resistance field as well as to the scale parameters of the shear resistance correlation function. High sensitivity is found also with respect to the distribution, normal or lognormal, of modal resistance. Cut length is another important parameter. /Authors/
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