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Title: Probabilistic hyperbolic models for foundation uplift movements
Authors: Phoon, K.K. 
Chen, J.-R.
Kulhawy, F.H.
Issue Date: 2007
Citation: Phoon, K.K.,Chen, J.-R.,Kulhawy, F.H. (2007). Probabilistic hyperbolic models for foundation uplift movements. Geotechnical Special Publication (170) : 4-. ScholarBank@NUS Repository.
Abstract: There is a need to consider both ultimate limit state and serviceability limit state uniformly within the reliability-based design framework. However, it is more difficult to characterize uncertainties associated with the latter, because load-displacement curves are nonlinear functions that cannot be reduced to a single random variable. This paper demonstrates that a random vector containing two curve-fitting hyperbolic parameters is an adequate probabilistic model for uplift load-displacement curves associated with spread foundations, drilled shafts, and pressure-injected footings. A simple but general computational approach, based on Hermite polynomials, can be used to simulate these hyperbolic parameters, which typically are correlated and may not follow closed-form classical distributions. Copyright ASCE 2007.
Source Title: Geotechnical Special Publication
ISSN: 08950563
DOI: 10.1061/40914(233)4
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