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IntroductionSite Effects, Rock and Soil ModelingNumeriqko modeliranjeinterakcije konstrukcije i tla uzemljotresnom in injerstvu:TLOBoris Jeremi Professor, University of California, Davis, CA, USAFaculty Scientist, Lawrence Berkeley National Laboratory, Berkeley, CA, USASrpsko udru enje za zemljotresno in enjerstvoSUZI17 Septembar 2020Jeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingOutlineIntroductionSite Effects, Rock and Soil ModelingSummaryJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingOutlineIntroductionSite Effects, Rock and Soil ModelingSummaryJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingMotivation- Improve design and assessment of infrastructure objects- Use of high fidelity numerical models to analyze behaviorof earthquake, soil, structure interacting (ESSI) systems- Control modeling uncertainty- Propagate parametric uncertaintyJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingOutlineIntroductionSite Effects, Rock and Soil ModelingSummaryJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingSummaryRock and Soil Material DataI Rock assumed to be Soil Conditions for Examplelinear elastic (?)I Soil inelasticATC-144 ProjectJeremi ESSI
IntroductionSite Effects, Rock and Soil ModelingInelastic Response of Rock, Granite, MarbleJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingInelastic Response of Rock, Trachite, MarbleJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingSummaryInelastic Response of Soil40.00shear stress τ [kPa]30.0020.0010.000.00-10.00-20.00-30.00-40.00 8Jeremi ESSI64202shear strain [%]468
IntroductionSite Effects, Rock and Soil ModelingSoil Volume ResponseI Soil behavior is very much a function of volumetricresponseI Dilative soils: increase volume due to shearingI Compressive soils: decrease volume due to shearingI Modulus reduction and damping curves do not providevolumetric dataI Soil volume change will affect response due to volumeconstraintsJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingSummaryNo Volume Change, Compressive and Dilative Soilγ [-]Jeremi ESSI15z H/2z H/2τ [kPa]10τ [kPa]τ [kPa]z H/220151050-5-10-15-20-0.02 -0.015 -0.01 -0.00550-500.005 0.01-10-0.02-0.015-0.01-0.005 0 0.005 0.01 0.015γ 2-0.015-0.01-0.005 0 0.0050.01γ [-]
IntroductionSite Effects, Rock and Soil ModelingSummary2Acceleration [m/s ]Northridge, No Volume Change and Dilative Soils1086420-2-4-6-8 0no dilatancy vs dilatancysurf - no dilsurf - dil510152025Time [s]Jeremi ESSI303540
IntroductionSite Effects, Rock and Soil ModelingSummaryNorthridge, No Volume Change and Dilative Soilsno dilatancy vs dilatancyAmplitude [m/s]6basesurf - no dilsurf - dil5432100246810Frequency [Hz]Jeremi ESSI1214
IntroductionSite Effects, Rock and Soil ModelingSoil Uncertainties and QuantificationI Natural variability of soil deposit (Fenton 1999)I Function of soil formation processI Testing error (Stokoe et al. 2004)I Imperfection of instrumentsI Error in methods to register quantitiesI Transformation error (Phoon and Kulhawy 1999)I Correlation by empirical data fitting (e.g. CPT data friction angle etc.)Jeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingSummaryMaterial Behavior Inherently UncertainI SpatialvariabilityI rror(Mayne et al. (2000)Jeremi ESSI
IntroductionSite Effects, Rock and Soil ModelingSummaryParametric Uncertainty: Material Properties1.00.060.040.022530453540Friction Angle [ ]50550.60.40.20.01060304050Friction Angle [ ]60700.00200.00150.00100.0005Min COVMax COV20800.00000Field φCumulative Probability Density function1.0Probability Density function0.150.100.052530453540Friction Angle [ ]5055Lab φJeremi ESSI4006008001000Undrained Shear Strength [kPa]0.045Min COVMax COV0.200.002020012000.80.60.40.20.001400Min COVMax COV2004006008001000Undrained Shear Strength [kPa]12001400Field cu601.00.0350.60.40.20.010Min COVMax COV0.0400.8Probability Density function0.251.00.0025Cumulative Probability Density function0.0020Min COVMax COV0.00300.8Cumulative Probability Density functionCumulative Probability Density functionProbability Density function0.0035Min COVMax COV0.08Probability Density function0.120.10Min COVMax COV20304050Friction Angle [ ]60700.0300.0250.0200.0150.0100.80.60.40.2Min COVMax COV0.005800.000050100150200Undrained Shear Strength [kPa]Lab cu2503000.0050100150200250300Undrained Shear Strength [kPa]350400
IntroductionSite Effects, Rock and Soil ModelingSummarySPT Based Determination of Young’s ModulusNormalized FrequencyYoung’s Modulus, E 000040.00002E (101.125*19.3) N 0.63510152025SPT N Value3035 10000010000Residual (w.r.t Mean) Young’s Modulus (kPa)Transformation of SPT N-value 1-D Young’s modulus, E (cf.Phoon and Kulhawy (1999B))Histogram of the residual (w.r.t the deterministic transformationequation) Young’s modulus, along with fitted probability densityfunctionJeremi ESSI
IntroductionSite Effects, Rock and Soil ModelingSummarySPT Based Determination of Shear Strength0.01400Su (101.125*0.29) N 0.72Normalized FrequencyUndrained Shear Strength (kPa)5003002001000.0080.0060.0040.0021020SPT N value3040 300 200 1000100200Residual (w.r.t Mean) Undrained Shear Strength (kPa)Transformation of SPT N-value undrained shear strength, su(cf. Phoon and Kulhawy (1999B)Histogram of the residual (w.r.t the deterministic transformationequation) undrained strength, along with fitted probabilitydensity function (Pearson IV)Jeremi ESSI
IntroductionSite Effects, Rock and Soil ModelingProbabilistic Elastic-Plastic ResponseJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingProbabilistic Elastic-Plastic Response(MP4)Jeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingLiquefaction as Base Isolation, ModelJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingLiquefaction, Wave PropagationJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingLiquefaction, Stress-Strain ResponseJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingOutlineIntroductionSite Effects, Rock and Soil ModelingSummaryJeremi ESSISummary
IntroductionSite Effects, Rock and Soil ModelingSummary- Importance of using realistic models for soil and rock!- Modeling uncertainty- Parametric uncertaintyJeremi ESSISummary
Introduction Site Effects, Rock and Soil Modeling Summary Numeriqkomodelirae interakcijekonstrukcijeitlau zem otresnominˇierstvu: TLO BorisJeremi Professor, University of California, Davis, CA, USA Faculty Scientist, Lawrence Berkeley National Laboratory, Berkeley, CA, USA Srpskoudruˇe
