TECHNICAL PAPERS
Jan 1, 2006

Stiffness of a Flexible Circular Footing Embedded in an Elastic Half-Space

Publication: International Journal of Geomechanics
Volume 6, Issue 1

Abstract

This paper addresses the problem of a circular footing of finite but nonzero stiffness embedded in an isotropic nonhomogeneous elastic half-space. The problem is solved by coupling the scaled boundary finite-element method with axisymmetric shell finite elements. The coupling of the two methods is validated by comparing computed solutions with analytical solutions for a flexible footing subjected to a uniformly distributed vertical load embedded in an elastic full-space. Based on the finding that the bending stiffness of the footing dictates the response for vertical and moment load cases, whereas the normal stiffness of the footing dominates the horizontal response, a convenient method for estimating dimensionless elastic stiffness coefficients is presented graphically. New results are presented for homogeneous and Gibson soil profiles and Poisson’s ratios of 0.2 and 0.499, to represent both sand and clay. An example demonstrating a practical application of these results is also provided.

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References

Bell, R. W. (1991). “The analysis of offshore foundations subjected to combined loading.” MSc thesis, Univ. of Oxford, Oxford, U.K.
Deeks, A. J., and Wolf, J. P. (2002). “A virtual work formulation of the scaled boundary finite-element method for elastostatics.” Comput. Mech., 28(6), 489–504.
Doherty, J. P., and Deeks, A. J. (2003a). “Elastic response of circular footings embedded in a nonhomogeneous half-space.” Geotechnique, 53(8), 703–714.
Doherty, J. P., and Deeks, A. J. (2003b). “Scaled boundary finite-element analysis of a non-homogeneous axisymmetric domain subjected to general loading.” Int. J. Numer. Analyt. Meth. Geomech., 27, 813–835.
Doherty, J. P., and Deeks, A. J. (2003c). “Scaled boundary finite-element analysis of a non-homogeneous elastic half-space.” Int. J. Numer. Methods Eng., 57(7), 955–973.
Selvadurai, A. P. S. (1979). “An energy estimation of the flexural behaviour of a circular foundation embedded in an isotropic elastic medium.” Int. J. Numer. Analyt. Meth. Geomech., 3, 285–300.
Wolf, J. P. (2003). The scaled boundary finite element method, Wiley, Chichester, U.K.
Wolf, J. P., and Song, Ch. (1996). Finite-element modelling of unbounded media, Wiley, Chichester, U.K.

Information & Authors

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 6Issue 1January 2006
Pages: 46 - 54

History

Received: Feb 3, 2004
Accepted: Nov 15, 2004
Published online: Jan 1, 2006
Published in print: Jan 2006

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Authors

Affiliations

J. P. Doherty [email protected]
Geotechnical Engineer, WorleyParsons, Industrial and Infrastructure, Level 6, QV1 Bldg., 250 St Georges Terrace, Perth WA 6000, Australia (corresponding author). E-mail: [email protected]
A. J. Deeks [email protected]
Associate Professor, The School of Civil and Resource Engineering, The Univ. of Western Australia, Crawley 6009, Western Australia. E-mail: [email protected]

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