TECHNICAL NOTES
Feb 15, 2010

Comparison between Coupled and Uncoupled Consolidation Analysis of a Rigid Sphere in a Porous Elastic Infinite Space

Publication: Journal of Engineering Mechanics
Volume 136, Issue 8

Abstract

Linear consolidation analyses are usually treated either by means of Terzaghi-Rendulic uncoupled theory or Biot’s consolidation theory. In this note, the problem of consolidation displacements around an axially loaded sphere was considered. It is demonstrated that both the uncoupled analysis and the coupled analysis give the same governing equation for pore fluid pressure dissipation with time. A simplified procedure for deriving transient strain components is illustrated. A general solution for time-dependent displacements is obtained using uncoupled consolidation analysis. Close agreement is evident between the new approximate uncoupled analysis solution and the existing coupled analysis solution with a maximum error of less than 0.5%.

Get full access to this article

View all available purchase options and get full access to this article.

References

Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
de Hoog, F. R., Knight, J. H., and Stokes, A. N. (1982). “An improved method for numerical inversion of Laplace transforms.” SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 3(3), 357–366.
de Josselin de Jong, G. (1957). “Application of stress functions to consolidation problems.” Proc., 4th Int. Conf. on Soil Mechanics and Foundation Engineering, Vol. 1, Butterworth, London, 320–323.
McLachlan, N. W. (1955). Bessel functions for engineers, 2nd Ed., Clarendon, Oxford, U.K.
Randolph, M. F., Cassidy, M. J., Gourvenec, S., and Erbrich, C. T. (2005). “The challenges of offshore geotechnical engineering (keynote).” Proc., 16th Int. Symp. Soil Mech. and Geotech. Engineering (ISSMGE), Vol. 1, Balkema, Rotterdam, The Netherlands, 123–176.
Rendulic, L. (1936). “Porenziffer und Porenwasserdruck in Tonen (Void ratio and pore water pressure in clays).” Bauingenieur, 17(51/53), 559–564.
Selvadurai, A. P. S. (2001). “On Boussinesq’s problem.” Int. J. Eng. Sci., 39(3), 317–322.
Sills, G. C. (1975). “Some conditions under which Biot’s equation of consolidation reduced to Terzaghi’s equation.” Geotechnique, 25(1), 129–132.
Skempton, A. W., and Bjerrum, L. (1957). “Contribution to the settlement analysis of foundations on clay.” Geotechnique, 7(4), 168–178.
Terzaghi, K. (1923). “Die Berechnung der Durchlässigkeitsziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen (The calculation of permeability number of the clay out of the process of the hydrodynamic phenomenon tension).” Sitzungsber. Akad. Wiss. Wien, Math.-Naturwiss. Kl., Abt. 2A, 32, 125–138.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 136Issue 8August 2010
Pages: 1059 - 1064

History

Received: May 26, 2009
Accepted: Feb 3, 2010
Published online: Feb 15, 2010
Published in print: Aug 2010

Permissions

Request permissions for this article.

Authors

Affiliations

Ashraf S. Osman [email protected]
Lecturer, School of Engineering, Durham Univ., South Rd., Durham DH1 3LE, U.K. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share