The paper deals with evaluation of bearing capacity of strip foundation on random purely cohesive soil. The approach proposed combines random field theory in the form of random layers with classical limit analysis and Monte Carlo simulation. For given realization of random the bearing capacity of strip footing is evaluated by employing the kinematic approach of yield design theory. The results in the form of histograms for both bearing capacity of footing as well as optimal depth of failure mechanism are obtained for different thickness of random layers. For zero and infinite thickness of random layer the values of depth of failure mechanism as well as bearing capacity assessment are derived in a closed form. Finally based on a sequence of Monte Carlo simulations the bearing capacity of strip footing corresponding to a certain probability of failure is estimated. While the mean value of the foundation bearing capacity increases with the thickness of the random layers, the ultimate load corresponding to a certain probability of failure appears to be a decreasing function of random layers thickness.
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AL-BITTAR T. SOUBRA A.H. 2013 Bearing capacity of strip footings on spatially random soils using sparse polynomial chaos expansion International Journal for Numerical and Analytical Methods in Geomechanics 37 (13) 2039-2060.
FENTON G.A. GRIFFITHS D.V. 2003 Bearing-capacity prediction of spatially random cφ soils Canadian Geotechnical Journal 40 (1) 54-65.
FENTON G.A. VANMARCKE E.H. 1990 Simulation of random fields via local average subdivision Journal of Engineering Mechanics 116(8) 1733-1749.
GRIFFITHS D.V. FENTON G.A. 2001 Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited Geotechnique 351-359.
KASAMA KIYONOBU WHITTLE A.J. KOUKI ZEN 2012 Effect of spatial variability on the bearing capacity of cement-treated ground Soils and Foundations 52.4 600-619.
PIECZYŃSKA-KOZŁOWSKA J.M. PUŁA W. GRIFFITHS D.V. FENTON G.A. 2015 Influence of embedment self-weight and anisotropy on bearing capacity reliability using the random finite element method Computers and Geotechnics 67 229-238.
UZIELLI M. LACASSE S. NADIM F. PHOON K.K. 2006 Soil variability analysis for geotechnical practice Characterization and Engineering Properties of Natural Soils 3 1653-1752.
VESSIA G. CHERUBINI C. PIECZYNSKA J. PULA W. 2009 Application of random finite element method to bearing capacity design of strip footing Journal of Geoengineering Vol. 4 No. 3.
VANMARCKE E. Random Fields: Analysis and Synthesis MIT Press 1983.