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Dr. Brendan C. O’Kelly

Trinity College Dublin

Dr. Patrick J. Naughton

Institute of Technology, Sligo.

Visiting Academic Presentation, Urban Institute Ireland, University College Dublin, 27th July 2007.

Development and uses of the

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Background

• In 1995, Geotechnics Research Group (headed by Dr. Tom Widdis) began HCA project at Department of Civil Engineering, UCD.

• Identify and develop niche area in geotechnical laboratory research

• Decision to develop state-of-the-art hollow cylinder apparatus (HCA)

• Personnel: Brendan O’Kelly (PhD 1995–2000); Patrick Naughton (PhD 1998–2002); Frank Dillon and George Cosgrave.

• Presentation will include overview of HCA development,

– its versatility in simulating complex stress conditions in ground foundations – experimental studies undertaken,

– key publications.

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Why need for HCA testing

(i)

Example: Yielding of ground foundation (plain strain)

Stress axes rotate to vertical direction (

)

Values of three perpendicular stresses change

independently (generalized stress conditions)

• Ground is anisotropic; mechanical response depends on stress

magnitude and direction

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Principle of HCA testing

• Test specimen: hollow cylinder,

100mm outer diameter, 71mm

inner diameter, 200mm in

length

• Apply system of axial and

torsional loads, inner and outer

confining pressures

• Within specimen wall

thickness, control rotation of

stress axes (

), and magnitude

of 3D stresses (

,

,

)

• Measure 3D deformational

response, and

(5)

• The UCD HCA

Layout of apparatus

Pressure cell

Test specimen

Loading mechanisms

Screw-spline shaft actuated by stepper motors

Pressure actuators

Reaction frame

Instrumentation

Local to specimen (submerged) Outside pressure cell

• O’Kelly B.C. and Naughton P.J., 2003. Development of a new hollow

cylinder apparatus for generalised stress path testing, Ground Engineering Journal, 36(7): 26–28.

• O’Kelly B.C. and Naughton P.J., 2005. Development of a new hollow

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Thrust-torque transducer Reaction platen Proximity transducer Test specimen Annular, porous disc with protruding blades

Inner bore cavity Loading platen Locating dowels Loading piston Outer cell chamber

Set up of specimen inside pressure cell

Sealing specimen from pressurized water in cell chamber and inner bore cavity of specimen

Mechanism to measure radial displacement of inner wall surface

Proximity transducer

Positioned remotely using gear mechanism

Transducer measures axial load and torque applied along length of specimen

Strain measurement capabilities of

10-3 to 10%strain (pseudo-elastic to failure

strain levels for geomaterials) covering

full range of engineering interest

• O’Kelly B.C. and Naughton P.J., 2003. Development of the University College Dublin hollow cylinder apparatus,

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Automatic closed-loop control of apparatus

• O’Kelly B.C. and Naughton P.J., 2005. Closed-loop control of a hollow cylinder apparatus, Proceedings Symposium on

(8)

Stress distribution within HCA specimen

• Stress non-uniformity arises due to curvature of specimen wall

– variation in torsional stress across wall thickness, etc.

• Require near uniform stress distribution for accurate interpretation of experimental data

• Studied degree of stress non-uniformity

– that occurs across specimen wall thickness when probing different regions of 3D stress space

– for test specimen of sand material

•Naughton P.J. and O’Kelly B.C., 2005. Stress non-uniformity in hollow

cylindrical test specimens, Proceedings Symposium on Innovative Experimental Techniques, Joint ASCE/ASME/SES Conference on Mechanics and Materials (McMat2005), Baton Rouge, Louisiana, 1–3 June.

•Naughton P.J. and O'Kelly B.C., 2007. Stress non-uniformity in a hollow

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Method of preparing hollow cylinder specimens of sand

Extension collar

Bottom loading platen

Specimen base pedestal Inner specimen mould

Outer specimen mould Deposited sand forming hollow cylindrical specimen Apply suction

Annular overflow container

Alignment pins

Loading piston

Geotextile between outer membrane and outer mould Overflow pipe

Deposit sand grains into water

contained between inner and

outer specimen moulds

Apply suction to specimen

so that free standing

Remove specimen moulds

Assemble pressure cell

Apply inner and outer

hydrostatic confining pressures

to specimen walls

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Study 1:

Yielding of sand under generalized stress

Stress probing to determine points on yield surfaces

Probing 3D stress space

3D strain response Varying stress components

Naughton P.J. and O’Kelly B.C., 2005. The yield behavior of

Leighton Buzzard sand in a hollow cylinder apparatus, Proceedings ASCE Geo-Frontiers Conference, Austin, Texas, 24–26 January, Geotechnical Special Publication 138.

Identify series of points on yield surface

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Map yield surface in generalized stress space

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Study 2:

Validate whether existing yield criteria can

be extended for generalized stress conditions

• Matsuoka-Nakai (1985) and Lade (1975) yield criteria developed for 2D stress conditions

• Used experimental HCA data to show these criteria can be used to adequately predict onset of yielding in sedimentary sand deposits 0.8 0.9 1 1.1 1.2

0 0.25 0.5 0.75 1 Intermediate principal stress parameter, b

M a tsu o ka -N a ka i N o rm a lize d C o n st a n t

= 300 = 600 = 00 = 900

0.8 0.9 1 1.1 1.2

0 0.25 0.5 0.75 1 Intermediate principal stress parameter, b

L a d e N o rm a lize d C o n st a n

t = 300

= 600 = 00 = 900

Naughton P.J. and O’Kelly B.C., 2005. Yield behavior of sand under generalized stress conditions,

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Study 3:

Inherent anisotropy and mechanical behavior

• Many sedimentary sand deposits have inherent cross-anisotropic

soil fabric due to mode of deposition through water

• Deposits are densified to different levels (very loose to very

dense)

• Study effect of soil fabric on subsequent mechanical behavior

under generalized stress conditions

Naughton P.J. and O’Kelly B.C., 2003. The anisotropy of Leighton Buzzard sand under general stress

conditions, Proceedings 3rd International Symposium on Deformation Characteristics of Geomaterials, Lyon, 22– 24 September, 1: 285–292.

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Summary

• Versatile UCD hollow cylinder apparatus is state-of-the-art in

geotechnical laboratory testing

– facilitates generalized stress path testing, including rotation of stress axes

• Many unique features

– can measure mechanical response at pseudo-elastic strain levels – automatic closed-loop control to target a stress path

• Can simulate complex field loading (stress) conditions

determine more reliable stiffness and strength values from measured strain response; e.g. for use in numerical analysis

• Used to study fundamental behavior of sedimentary sand deposits

– validated extension of existing yield criteria to generalised (3D) stress conditions

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Thank you

Acknowledgements:

Dr. Tom Widdis (PhD supervisor); Professor Eugene O’Brien; Aodh Dowley, and the support of all of the academic and technical staff at the Department of Civil Engineering, UCD, is kindly acknowledged.

Funding by University College Dublin through the Pierse Newman Scholarship in Civil Engineering, and a Research Fellowship, are also gratefully

References

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