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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 63
COMPUTING DEVELOPMENTS IN CIVIL AND STRUCTURAL ENGINEERING
Edited by: B. Kumar and B.H.V. Topping
Paper VI.6

Advanced Numerical Modelling of Terzaghi's Superposition Theory for Embedded Granular Foundations

P.K. Woodward

Department of Civil and Offshore Engineering, Heriot-Watt University, Edinburgh, Scotland

Full Bibliographic Reference for this paper
P.K. Woodward, "Advanced Numerical Modelling of Terzaghi's Superposition Theory for Embedded Granular Foundations", in B. Kumar, B.H.V. Topping, (Editors), "Computing Developments in Civil and Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 211-218, 1999. doi:10.4203/ccp.63.6.6
Abstract
Traditionally the analysis of footings embedded in granular soils has been one of the most difficult finite element simulations to be attempted in geomechanics. This is particularly noticeable by a general lack of published work in foundation analysis using finite elements in the literature. Because of the difficulties involved most of the work performed in this area has concentrated on the use of simple linear elastic perfectly plastic Mohr-Coulomb constitutive soil models. This paper advances the state-of-the-art by describing the use of a non-linear elastic multi-surface kinematic soil model for the simulation of circular foundations embedded in a particular granular soil. The paper first computes the bearing capacity factors N_gamma and N_q separately, then checks Terzaghi's superposition theory by simulating an embedded foundation (modeled as a surface foundation with an initial surcharge). It is well known that the bearing capacity factor N_gamma is a function of the foundation width. The paper confirms this, and also shows that the bearing capacity factor N_q is actually related to the foundation depth.

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