A micromechanics-based analytical method for wave propagation through a granular material

Soil Dynamics and Earthquake Engineering

Volumn 45, Issue , 2013, Pages 25-34

  Marketos, G ^a   O'Sullivan, C ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL METHOD; BENDER ELEMENT TESTS; ENGINEERING DESIGN; GRANULAR SAMPLES; MASS MATRICES; SMALL-STRAIN STIFFNESS; STATIC STIFFNESS; STIFFNESS VALUES; WAVE DISPERSION; WAVE VELOCITY;

ASPECT RATIO; LINEAR SYSTEMS; STIFFNESS;

GRANULAR MATERIALS;

ANALYTICAL METHOD; GRANULAR MEDIUM; MICROMECHANICS; SANDSTONE; SOIL MECHANICS; STIFFNESS; VIBRATION; WAVE DISPERSION; WAVE PROPAGATION; WAVE VELOCITY;

EID: 84870693489     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2012.10.003     Document Type: Article

References (27)

1. Jovičić V, Coop MR, Simić M Objective criteria for determining Gmax from bender element tests. Géotechnique 1996, 46(2):357-362.
2. Lings ML, Greening PD A novel bender/extender element for soil testing. Géotechnique 2001, 51(8):713-717.
3. Lee J-S, Santamarina JC Bender elements: performance and signal interpretation. Journal of Geotechnical and Geoenvironmental Engineering 2005, 131:1063-1070.
4. Winkler KW, Plona TJ Technique for measuring ultrasonic velocity and attenuation spectra in rocks under pressure. Journal of Geophysical Research 1982, 87:10776-10780. 10.1029/JB087iB13p10776.
5. Thomas CN, Papargyri-Beskou S, Mylonakis G Wave dispersion in dry granular materials by the distinct element method. Soil Dynamics and Earthquake Engineering 2009, 29(5):888-897.
6. Mouraille O, Mulder WA, Luding S Sound wave acceleration in granular materials. Journal of Statistical Mechanics- Theory and Experiment 2006, P07023. 10.1088/1742-5468/2006/07/P07023.
7. Mouraille O, Luding S Sound wave propagation in weakly polydisperse granular materials. Ultrasonics 2008, 48(6-7):498-505. 10.1016/j.ultras.2008.03.009.
8. O'Donovan J, O'Sullivan C, Marketos G, Two-dimensional discrete element modelling of bender element tests on an idealised granular material, Granular Matter 2012;14(6):733-47, http://dx.doi.org/10.1007/s10035-012-0373-9.
9. Toomey A, Bean CJ Numerical simulation of seismic waves using a discrete particle scheme. Geophysical Journal International 2000, 141(3):595-604. 10.1046/j.1365-246x.2000.00094.x.
10. Polyzos D, Fotiadis DI Derivation of Mindlin's first and second strain gradient elastic theory via simple lattice and continuum models. International Journal of Solids and Structures 2012, 49:470-480. 10.1016/j.ijsolstr.2011.10.021.
11. Alvarado G, Coop MR On the performance of bender elements in triaxial tests. Géotechnique 2012, 62(1):1-17. 10.1680/geot.7.00086.
12. Kruyt NP, Agnolin I, Luding S, Rothenburg L Micromechanical study of elastic moduli of loose granular materials. Journal of the Mechanics and Physics of Solids 2010, 58(9):1286-1301. 10.1016/j.jmps.2010.06.003.
13. J Fonseca, The evolution of morphology and fabric of a sand during shearing. PhD thesis, Imperial College, London, UK, 2011.
14. Rowe PW The stress-dilatancy relation for static equilibrium of an assembly of particles in contact. Proceedings of the Royal Society of London 1962, 269:500-527. Series A.
15. O'Sullivan C, Bray JD, Riemer MF Influence of particle shape and surface friction variability on response of rod-shaped particulate media. Journal of Engineering Mechanics 2002, 128(11):1182-1192.
16. Thornton C The conditions for failure of a face-centred cubic array of uniform rigid spheres. Géotechnique 1979, 29(4):441-459.
17. Mathworks, MATLAB user guide (2011).
18. 0 measurements. Géotechnique 2006, 56(1):39-52. 10.1680/geot.2006.56.1.39.
19. Cheung G, O'Sullivan C Effective simulation of flexible lateral boundaries in two and three dimensional DEM simulations. Particuology 2008, 6:483-500.
20. Itasca Consulting Group Inc., PFC3D: Particle Flow Code in 3 Dimensions, Version 3.0, Minneapolis, USA, (2003).
21. Marketos G, Best AI Application of the BISQ model to clay squirt flow in reservoir sandstones. Journal of Geophysical Research 2010, 115:B06209. 10.1029/2009JB006495.
22. D Schmalz, E LaRochelle, TC Sheahan, (2007) Development and Proof-testing of a PC-based Bender Element System for Shear Wave Measurements in Soft Soil, Research Report for NSF PIRE Project on Offshore Geohazards.
23. Lohani TN, Imai G, Shibuya S Determination of shear wave velocity in the bender element test 1999, 101-106. Earthquake Geotechnical Engineering, Lisboa, Portugal, 1999. P. Seco (Ed.).
24. Viggiani G, Atkinson J Interpretation of bender element tests. Géotechnique 1995, 45(1):149-154.
25. Sahaphol T, Miura S Shear moduli of volcanic soils. Soil Dynamics and Earthquake Engineering 2005, 25:157-165.
26. Clayton CRI, Priest JA, Bui M, Zervos A, Kim SG The Stokoe resonant column apparatus: effects of stiffness, mass and specimen fixity. Géotechnique 2009, 59(5):429-437.
27. max. Journal of Geotechnical and Geoenvironmental Engineering, ASCE 2009, 135:1404-1418.