Discrete-Element Method Simulations of the Response of Soil-Foundation-Structure Systems to Multidirectional Seismic Motion

AbstractIn this study, a three-dimensional microscale framework utilizing the discrete-element method (DEM) is presented to analyze the seismic response of soil-foundation-structure systems subjected to three-directional base motion. The proposed approach is employed to investigate the response of a single lumped mass on a square spread footing founded on a dry granular deposit. The soil is idealized as a collection of spherical particles using DEM. The spread footing is modeled as a rigid block composed of clumped particles, and its motion is described by the resultant forces and moments acting upon it. The structure is modeled as a column made of clumped particles with a concentrated mass specified for the particle at the top. Analysis is done in a fully coupled scheme in time domain while taking into account the effects of soil nonlinear behavior, possible separation between the foundation base and soil because of rocking, possible sliding of the footing, and dynamic soil-foundation interactions. A tec...

[1]  Yoshinori Iwasaki,et al.  STRONG MOTION RECORDS AT KOBE PORT ISLAND , 1996 .

[2]  W. B. Joyner,et al.  The effect of Quaternary alluvium on strong ground motion in the Coyote Lake, California, earthquake of 1979 , 1981 .

[3]  J. Lysmer,et al.  FLUSH - a computer program for approximate 3-D analysis of soil-structure interaction problems , 1975 .

[4]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[5]  I. Lee,et al.  UNIFIED BOUNDARY FOR FINITE DYNAMIC MODELS , 1976 .

[6]  Susumu Iai,et al.  Generalised scaling relations for dynamic centrifuge tests , 2005 .

[7]  M. P. Romo,et al.  The Mexico Earthquake of September 19, 1985—Relationships between Soil Conditions and Earthquake Ground Motions , 1988 .

[8]  Amr S. Elnashai,et al.  Analysis of the failure of interstate 10 freeway ramp during the Northridge earthquake of 17 January 1994 , 1995 .

[9]  A. Elnashai,et al.  ANALYTICAL AND FIELD EVIDENCE OF THE DAMAGING EFFECT OF VERTICAL EARTHQUAKE GROUND MOTION , 1996 .

[10]  George Gazetas,et al.  Pushover and Inelastic-Seismic Response of Shallow Foundations Supporting a Slender Structure , 2010 .

[11]  Gjw King,et al.  THE DEVELOPMENT OF A MEDIUM-SIZE CENTRIFUGAL TESTING FACILITY , 1985 .

[12]  Catherine O'Sullivan,et al.  Particle-Based Discrete Element Modeling: Geomechanics Perspective , 2011 .

[13]  Marco Barla,et al.  Rock Slide Simulation with the Combined Finite-Discrete Element Method , 2012 .

[14]  Usama El Shamy,et al.  Discrete element method simulations of the seismic response of shallow foundations including soil‐foundation‐structure interaction , 2012 .

[15]  Eduardo Kausel,et al.  Dynamic Stiffness of Circular Foundations , 1975 .

[16]  Bruce L. Kutter,et al.  DYNAMIC CENTRIFUGE MODELING OF GEOTECHNICAL STRUCTURES , 1992 .

[17]  U. El Shamy,et al.  Microscale Energy Dissipation Mechanisms in Cyclically-Loaded Granular Soils , 2012, Geotechnical and Geological Engineering.

[18]  Hehua Zhu,et al.  Two-Dimensional Discrete Element Theory for Rough Particles , 2009 .

[19]  Mohsen Mohammadi,et al.  3-D dynamic foundation-soil-foundation interaction on layered soil , 1998 .

[20]  U. El Shamy,et al.  Analysis of wave propagation in dry granular soils using DEM simulations , 2011 .

[21]  Walter J. Silva,et al.  Properties of Vertical Ground Motions , 2002 .

[22]  H. Bolton Seed,et al.  SETTLEMENT OF SANDS UNDER MULTIDIRECTIONAL SHAKING , 1975 .

[23]  Raymond B. Seed,et al.  New Site Coefficients and Site Classification System Used in Recent Building Seismic Code Provisions , 2000 .

[24]  John R. Williams,et al.  Discrete Element Modeling Applied to Laboratory Simulation of Near-Wellbore Mechanics , 2004 .

[25]  S. Kramer Geotechnical Earthquake Engineering , 1996 .

[26]  Ricardo Dobry,et al.  Lateral Cyclic Loading Centrifuge Tests on Square Embedded Footing , 1998 .

[27]  M. E. Naggar,et al.  Seismic response of sands in centrifuge tests , 2008 .

[28]  W. B. Joyner,et al.  Calculation of nonlinear ground response in earthquakes , 1975 .

[29]  Mihailo D. Trifunac,et al.  Nonlinear Soil Response— 1994 Northridge, California, Earthquake , 1996 .

[30]  G. Gazetas FORMULAS AND CHARTS FOR IMPEDANCES OF SURFACE AND EMBEDDED FOUNDATIONS , 1991 .

[31]  David Muir Wood,et al.  Numerical simulation of dynamic soil-structure interaction in shaking table testing , 2008 .

[32]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[33]  Amr S. Elnashai,et al.  Analytical Assessment of the Effect of Vertical Earthquake Motion on RC Bridge Piers , 2011 .

[34]  J. Wolf Dynamic soil-structure interaction , 1985 .

[35]  H. Bolton Seed,et al.  Relationships of maximum acceleration, maximum velocity, distance from source, and local site conditions for moderately strong earthquakes , 1975 .

[36]  A. Elgamal,et al.  Micromechanical Aspects of Liquefaction-Induced Lateral Spreading , 2010 .

[37]  George Gazetas,et al.  Footings under seismic loading: Analysis and design issues with emphasis on bridge foundations , 2006 .

[38]  Natasha Zamani Coupled microscale framework for the seismic response of soil-foundation-structure systems , 2012 .

[39]  X. S. Li,et al.  Horizontal and vertical components of earthquake ground motions at liquefiable sites , 2002 .

[40]  R. L. Wesson,et al.  USGS National Seismic Hazard Maps , 2000 .

[41]  J. G. Stuart Interference Between Foundations, with Special Reference to Surface Footings in Sand , 1962 .