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Published in: Geotechnical and Geological Engineering 2/2012

01-04-2012 | Original paper

Microscale Energy Dissipation Mechanisms in Cyclically-Loaded Granular Soils

Authors: Usama El Shamy, Christina Denissen

Published in: Geotechnical and Geological Engineering | Issue 2/2012

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Abstract

This paper utilizes the Discrete Element Method to characterize energy dissipation mechanisms in cyclically loaded soils based on micromechanical considerations. Computational simulations of consolidated undrained cyclic triaxial tests were conducted at various relative densities and were subjected to cyclic loading of different frequencies and shear strain amplitudes. The different components of microscale energies were monitored during the course of the simulations and characterized into input and dissipated energies. A comparison is made between the dissipated energy computed from microscopic energy components and macroscopic energy calculated based on the area of the deviator stress-axial strain loops. These energies are then used to obtain the specific damping capacity defined as the ratio of dissipated energy during one cycle to the maximum stored elastic energy during the same cycle. The conducted simulations highlight the importance of calculating actual stored energy in the system as opposed to approximating it to be that calculated as the triangular area under the secant modulus. Finally, a series of simulations that resulted in liquefaction are discussed, and the amount of energy dissipated to liquefaction is examined based on these results.

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Literature
go back to reference Asmar B, Langston P, Matchett A, Walters J (2003) Energy monitoring in distinct element models of particle systems. Adv Powder Technol 14(1):43–69CrossRef Asmar B, Langston P, Matchett A, Walters J (2003) Energy monitoring in distinct element models of particle systems. Adv Powder Technol 14(1):43–69CrossRef
go back to reference Assimaki D, Kausel E, Whittle A (2000) Model for dynamic shear modulus and damping for granular soils. J Geotech Geoenviron Eng ASCE 126(10):859–869CrossRef Assimaki D, Kausel E, Whittle A (2000) Model for dynamic shear modulus and damping for granular soils. J Geotech Geoenviron Eng ASCE 126(10):859–869CrossRef
go back to reference ASTM (1991) Standard D 3999-91: Test method for the determination of the modulus and damping properties of soils using the cyclic triaxial apparatus. Annual Book of ASTM Standards, ASTM International, West Conshohocken ASTM (1991) Standard D 3999-91: Test method for the determination of the modulus and damping properties of soils using the cyclic triaxial apparatus. Annual Book of ASTM Standards, ASTM International, West Conshohocken
go back to reference Boulanger R (2003) High overburden stress effects in liquefaction analyses. J Geotech Geoenviron Eng ASCE 129(12):1071–1082CrossRef Boulanger R (2003) High overburden stress effects in liquefaction analyses. J Geotech Geoenviron Eng ASCE 129(12):1071–1082CrossRef
go back to reference Boulanger R, Idriss I (2006) Liquefaction susceptibility criteria for silts and clays. J Geotech Geoenviron Eng ASCE 132(11):1413–1426CrossRef Boulanger R, Idriss I (2006) Liquefaction susceptibility criteria for silts and clays. J Geotech Geoenviron Eng ASCE 132(11):1413–1426CrossRef
go back to reference Brennan AJ, Thusyanthan NI, Madabhushi SPG (2005) Evaluation of shear modulus and damping in dynamic centrifuge tests. J Geotech Geoenviron Eng 131(12):1488–1497CrossRef Brennan AJ, Thusyanthan NI, Madabhushi SPG (2005) Evaluation of shear modulus and damping in dynamic centrifuge tests. J Geotech Geoenviron Eng 131(12):1488–1497CrossRef
go back to reference Cundall P, Strack O (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65CrossRef Cundall P, Strack O (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65CrossRef
go back to reference Davis R, Berrill J (1982) Energy dissipation and seismic liquefaction in sands. Earthq Eng Struct Dyn 10:59–68CrossRef Davis R, Berrill J (1982) Energy dissipation and seismic liquefaction in sands. Earthq Eng Struct Dyn 10:59–68CrossRef
go back to reference Denissen C (2009) A micromechanical study of energy dissipation mechanisms in granular soils subjected to cyclic loading. Master thesis, Southern Methodist University, Dallas Denissen C (2009) A micromechanical study of energy dissipation mechanisms in granular soils subjected to cyclic loading. Master thesis, Southern Methodist University, Dallas
go back to reference Di Renzo A, Di Maio F (2004) Comparison of contact-force models for the simulation of collisions in dem-based granular flow codes. Chem Eng Sci 59:525–541CrossRef Di Renzo A, Di Maio F (2004) Comparison of contact-force models for the simulation of collisions in dem-based granular flow codes. Chem Eng Sci 59:525–541CrossRef
go back to reference Dobry R, Ladd R, Yokel F, Chung R, Powell D (1982) Prediction of pore water pressure buildup and liquefaction of sands during earthquakes by the cyclic strain method. Building Science Series, National Bureau of Standards, U.S. Department of Commerce 138, 154 Dobry R, Ladd R, Yokel F, Chung R, Powell D (1982) Prediction of pore water pressure buildup and liquefaction of sands during earthquakes by the cyclic strain method. Building Science Series, National Bureau of Standards, U.S. Department of Commerce 138, 154
go back to reference Dobry R, Ng T (1992) Discrete modeling of stress-strain behavior of granular media at small and large strains. Eng Comput 9:129–143CrossRef Dobry R, Ng T (1992) Discrete modeling of stress-strain behavior of granular media at small and large strains. Eng Comput 9:129–143CrossRef
go back to reference Edwards S (1998) The equations of stress in a granular material. Phys A 249:226–231CrossRef Edwards S (1998) The equations of stress in a granular material. Phys A 249:226–231CrossRef
go back to reference El Shamy U, Aydin F (2008) Multi-scale modeling of flood-induced piping in river levees. J Geotech Geoenviron Eng ASCE 134(9):1385–1398CrossRef El Shamy U, Aydin F (2008) Multi-scale modeling of flood-induced piping in river levees. J Geotech Geoenviron Eng ASCE 134(9):1385–1398CrossRef
go back to reference El Shamy U, Zeghal M (2005) A coupled continuum-discrete model for saturated granular soils. J Eng Mech ASCE 131(4):413–426CrossRef El Shamy U, Zeghal M (2005) A coupled continuum-discrete model for saturated granular soils. J Eng Mech ASCE 131(4):413–426CrossRef
go back to reference El Shamy U, Zeghal M (2005b) A micro-mechanical study of the seismic response of saturated cemented deposits. J Earthq Eng 9:47–75. (Special Issue 1 on Geotechnical Earthquake Engineering) El Shamy U, Zeghal M (2005b) A micro-mechanical study of the seismic response of saturated cemented deposits. J Earthq Eng 9:47–75. (Special Issue 1 on Geotechnical Earthquake Engineering)
go back to reference Figueroa J (1990) A method for evaluating soil liquefaction by energy principles. Proceedings of 4th U.S. National Conference on Earthquake Engineering, Earthquake Engineering Research Institute, El Cerrito Figueroa J (1990) A method for evaluating soil liquefaction by energy principles. Proceedings of 4th U.S. National Conference on Earthquake Engineering, Earthquake Engineering Research Institute, El Cerrito
go back to reference Figueroa J, Saada A, Liang L, Dahisaria M (1994) Evaluation of soil liquefaction by energy principles. J Geotech Eng ASCE 120(9):1554–1569CrossRef Figueroa J, Saada A, Liang L, Dahisaria M (1994) Evaluation of soil liquefaction by energy principles. J Geotech Eng ASCE 120(9):1554–1569CrossRef
go back to reference Hardin B, Drnevich V (1972) Shear modulus and damping in soils: design equations and curves. J Soil Mech Found Div ASCE 98(7):667–692 Hardin B, Drnevich V (1972) Shear modulus and damping in soils: design equations and curves. J Soil Mech Found Div ASCE 98(7):667–692
go back to reference Hashash Y, Park D (2002) Viscous damping formulations and high frequency motion propagation in non-linear site response analysis. Soil Dyn Earthq Eng 22:611–624CrossRef Hashash Y, Park D (2002) Viscous damping formulations and high frequency motion propagation in non-linear site response analysis. Soil Dyn Earthq Eng 22:611–624CrossRef
go back to reference Itasca (2005) Particle Flow Code, PFC3D, release 3.1. Itasca Consulting Group, Inc., Minneapolis Itasca (2005) Particle Flow Code, PFC3D, release 3.1. Itasca Consulting Group, Inc., Minneapolis
go back to reference Kramer S (1996) Geotechnical earthquake engineering. Prentice Hall, New Jersey Kramer S (1996) Geotechnical earthquake engineering. Prentice Hall, New Jersey
go back to reference Lai C, Rix G (1998) Simultaneous inversion of rayleigh phase velocity and attenuation for near-surface site characterization. Report No. GIT-CEE/GEO-98-2, Georgia Institute of Technology Lai C, Rix G (1998) Simultaneous inversion of rayleigh phase velocity and attenuation for near-surface site characterization. Report No. GIT-CEE/GEO-98-2, Georgia Institute of Technology
go back to reference Law K, Cao Y (1990) An energy approach for assessing seismic liquefaction potential. Can Geotech J 27:320–329CrossRef Law K, Cao Y (1990) An energy approach for assessing seismic liquefaction potential. Can Geotech J 27:320–329CrossRef
go back to reference Lazan B (1968) Damping of materials and members in structural mechanics, 1 edition. Pergamon Press, Great Britain Lazan B (1968) Damping of materials and members in structural mechanics, 1 edition. Pergamon Press, Great Britain
go back to reference Lee G, Hartmann B (1998) Specific damping capactiy for arbitrary loss angle. J Sound Vib 211(2):265–272CrossRef Lee G, Hartmann B (1998) Specific damping capactiy for arbitrary loss angle. J Sound Vib 211(2):265–272CrossRef
go back to reference Liang L, Figueroa J, Saada A (1995) Liquefaction under random loading: unit energy approach. J Geotech Eng ASCE 121(11):776–781CrossRef Liang L, Figueroa J, Saada A (1995) Liquefaction under random loading: unit energy approach. J Geotech Eng ASCE 121(11):776–781CrossRef
go back to reference Nashif A, Jones D, Henderson J (1985) Vibration damping. Wiley, New York Nashif A, Jones D, Henderson J (1985) Vibration damping. Wiley, New York
go back to reference Nemat-Nasser S, Shokooh A (1979) A unified approach to densification and liquefaction of cohesionless sand in cyclic shearing. Can Geotech J Nat Res Counc Can 16:659–678 Nemat-Nasser S, Shokooh A (1979) A unified approach to densification and liquefaction of cohesionless sand in cyclic shearing. Can Geotech J Nat Res Counc Can 16:659–678
go back to reference Ng T, Dobry R (1994) Numerical simulations of monotonic and cyclic loading of granular soil. J Geotech Eng ASCE 120(2):388–403CrossRef Ng T, Dobry R (1994) Numerical simulations of monotonic and cyclic loading of granular soil. J Geotech Eng ASCE 120(2):388–403CrossRef
go back to reference Rajamani R, Mishra B, Venugopal R, Datta A (2000) Discrete element analysis of tumbling mills. Powder Technol 109:105–112CrossRef Rajamani R, Mishra B, Venugopal R, Datta A (2000) Discrete element analysis of tumbling mills. Powder Technol 109:105–112CrossRef
go back to reference Read B, Dean G (1978) The determination of dynamic properties of polymers and composites. Wiley, New York Read B, Dean G (1978) The determination of dynamic properties of polymers and composites. Wiley, New York
go back to reference Richart FJ, Woods R, Hall JJ (1970) Vibration of soils and foundations. Prentice Hall, Englewood Cliffs, NJ. Civil engineering and engineering mechanics series Richart FJ, Woods R, Hall JJ (1970) Vibration of soils and foundations. Prentice Hall, Englewood Cliffs, NJ. Civil engineering and engineering mechanics series
go back to reference Schnabel P, Lysmer J, Seed H (1972) Shake: a computer program for earthquake response analysis of horizontally layered sites. Report No. EERC 72-12, Earthquake Engineering Research Center, University of California, Berkeley Schnabel P, Lysmer J, Seed H (1972) Shake: a computer program for earthquake response analysis of horizontally layered sites. Report No. EERC 72-12, Earthquake Engineering Research Center, University of California, Berkeley
go back to reference Seed H, Idriss I (1971) Simplified procedure for evaluating soil liquefaction potential. J Soil Mech Found Div ASCE 97(9):1249–1274 Seed H, Idriss I (1971) Simplified procedure for evaluating soil liquefaction potential. J Soil Mech Found Div ASCE 97(9):1249–1274
go back to reference Seed H, Wong R, Idriss I, Tokimatsu K (1986) Moduli and damping factors for dynamic analyses of cohesionless soils. J Soil Mech Found Div ASCE 112(11):1016–1032 Seed H, Wong R, Idriss I, Tokimatsu K (1986) Moduli and damping factors for dynamic analyses of cohesionless soils. J Soil Mech Found Div ASCE 112(11):1016–1032
go back to reference Sitharam TG, Vinod JS (2010) Evaluation of shear modulus and damping ratio of granular materials using discrete element approach. Geotech Geol Eng 28:591–601CrossRef Sitharam TG, Vinod JS (2010) Evaluation of shear modulus and damping ratio of granular materials using discrete element approach. Geotech Geol Eng 28:591–601CrossRef
go back to reference Thevanayagam S, Kanagalingam T, Shenthan T (2003) Intergrain friction, contact density, and cyclic resistance of sands. Proc. of 2003 Pacific Conference on Earthquake Engineering, Christchurch, New Zealand Thevanayagam S, Kanagalingam T, Shenthan T (2003) Intergrain friction, contact density, and cyclic resistance of sands. Proc. of 2003 Pacific Conference on Earthquake Engineering, Christchurch, New Zealand
go back to reference Thornton C (2000) Numerical simulations of deviator shear deformation of granular media. Geotechnique 50(1):43–53CrossRef Thornton C (2000) Numerical simulations of deviator shear deformation of granular media. Geotechnique 50(1):43–53CrossRef
go back to reference Tsuji Y, Kawaguchi T, Tanaka T (1993) Discrete particle simulation of two-dimensional fluidized bed. Powder Technol 77:79–87CrossRef Tsuji Y, Kawaguchi T, Tanaka T (1993) Discrete particle simulation of two-dimensional fluidized bed. Powder Technol 77:79–87CrossRef
go back to reference Vucetic M, Dobry R (1991) Effect of soil plasticity on cyclic response. J Soil Mech Found Div ASCE 117(1):89–107 Vucetic M, Dobry R (1991) Effect of soil plasticity on cyclic response. J Soil Mech Found Div ASCE 117(1):89–107
Metadata
Title
Microscale Energy Dissipation Mechanisms in Cyclically-Loaded Granular Soils
Authors
Usama El Shamy
Christina Denissen
Publication date
01-04-2012
Publisher
Springer Netherlands
Published in
Geotechnical and Geological Engineering / Issue 2/2012
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-011-9472-3

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