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Innovative earthquake soil dynamics PDF

507 Pages·2017·23.457 MB·English
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Innovative Earthquake Soil Dynamics Innovative Earthquake Soil Dynamics Takaji Kokusho Covercredentials: 1995KobeEQ|1999Chi-ChiEQ|2008Iwate-NiyagiInlandEQ 1995KobeEQ|1999KocaeliEQ|2011TohokuEQ 1995KobeEQ|2004NiigatakenChuetsuEQ|2011TohokuEQ 2011TohokuEQ|2016KumamotoEQ|2016KumamotoEQ CRCPress/BalkemaisanimprintoftheTaylor&FrancisGroup,aninformabusiness ©2017Taylor&FrancisGroup,London,UK TypesetbyMPSLimited,Chennai,India PrintedandboundinGreatBritainbyCPIGroup(UK)Ltd,Croydon,CR04YY Allrightsreserved.Nopartofthispublicationortheinformationcontained hereinmaybereproduced,storedinaretrievalsystem,ortransmittedinany formorbyanymeans,electronic,mechanical,byphotocopying,recordingor otherwise,withoutwrittenpriorpermissionfromthepublishers. Althoughallcareistakentoensureintegrityandthequalityofthispublication andtheinformationherein,noresponsibilityisassumedbythepublishersnor theauthorforanydamagetothepropertyorpersonsasaresultofoperation oruseofthispublicationand/ortheinformationcontainedherein. LibraryofCongressCataloging-in-PublicationData Appliedfor Publishedby: CRCPress/Balkema Schipholweg107C,2316XCLeiden,TheNetherlands e-mail:[email protected] www.crcpress.com–www.taylorandfrancis.com ISBN:978-1-138-02902-6(Hbk) ISBN:978-1-315-64505-6(eBook) Dedications To my late parents & To my wife Noriko. Table of contents Acknowledgments xv Preface xvii Abouttheauthor xix Nomenclature xxi Introductionofthebook xxv 1 Elastic wave propagation in soil 1 1.1 Introduction 1 1.2 One-dimensionalwavepropagationandwaveenergy 4 1.2.1 One-dimensionalpropagationofSHandP-waves 4 1.2.2 Basicformulationofwavepropagation 7 1.2.3 Basicformulationofwaveenergy 8 1.3 Three-dimensionalbodywaves 10 1.4 Surfacewaves 13 1.4.1 Rayleighwave 14 1.4.1.1 Generalformulation 14 1.4.1.2 Uniformsemi-infinitelayer 22 1.4.1.3 Two-layersystem 24 1.4.2 Lovewave 26 1.5 Viscoelasticmodelandsoildampingforwavepropagation 29 1.5.1 Generalstress-strainrelationshipofviscoelasticmaterial 29 1.5.2 Viscoelasticmodels 30 1.5.2.1 Kelvinmodel 30 1.5.2.2 Maxwellmodel 31 1.5.2.3 NonviscousKelvinmodel 33 1.5.2.4 Comparisonwith1D-of-freedomvibration system 33 1.6 Waveattenuationbyinternaldamping 34 1.6.1 Viscoelasticmodelsandwaveattenuation 34 1.6.1.1 AttenuationforKelvinmodel 34 1.6.1.2 AttenuationforMaxwellmodel 36 1.6.1.3 AttenuationforNonviscousKelvinmodel 36 1.6.2 Energydissipationinwavepropagation 37 1.6.3 Energydissipationinwavepropagationcomparedwith cyclicloading 40 1.7 Waveattenuationincludinggeometricdamping 41 1.8 Summary 42 viii Table of contents 2 Soil properties during earthquakes 45 2.1 Characterizationofdynamicsoilproperties 45 2.1.1 Small-strainproperties 45 2.1.2 Strain-dependentnonlinearityinsoilproperties 47 2.1.3 Equivalentlinearization 50 2.1.4 Strongnonlinearitytowardfailure 53 2.1.4.1 Basicmechanismofseismicsoilfailure 54 2.1.4.2 Effectsofloadingrateandloadingcycle 57 2.2 Howtomeasuresoilproperties 58 2.2.1 Insituwavemeasurementforsmallstrain 58 2.2.1.1 Measurementsusingboreholes 59 2.2.1.2 Measurementswithoutboreholes 62 2.2.2 Laboratorytestsforsmall-strainproperties 66 2.2.2.1 Wavetransmissiontests 67 2.2.2.2 Small-straincyclicloadingtests 70 2.2.3 Laboratorytestsformediumtolargestrain 72 2.2.3.1 Simplesheartest 72 2.2.3.2 Torsionalsimplesheartest 74 2.2.3.3 Cyclictriaxialtest 75 2.2.3.4 Membranepenetrationeffectinundrainedtests 76 2.3 Typicalsmall-strainproperties 79 2.3.1 V andG forsandandgravel 80 s 0 2.3.1.1 Effectsofvoidratioandconfiningstress 80 2.3.1.2 Effectofparticlegrading 82 2.3.2 G forcohesivesoil 84 0 2.3.2.1 Effectsofvoidratioandconfiningstress 84 2.3.2.2 Long-termconsolidationeffect 85 2.3.2.3 Effectofoverconsolidation 87 2.3.3 Frequency-dependencyofdampingratiointhelaboratory 88 2.4 Strain-dependentequivalentlinearproperties 89 2.4.1 Modulusdegradation 89 2.4.1.1 Sandandgravel 89 2.4.1.2 Cohesivesoil 92 2.4.1.3 Overviewofcohesive/non-cohesivesoil 94 2.4.2 Dampingratio 96 2.4.2.1 Sandandgravel 96 2.4.2.2 Cohesivesoil 97 2.4.3 Strain-dependentpropertyvariationscomparedwithinsitu 97 2.4.3.1 Modulusdegradations 98 2.4.3.2 Dampingratios 100 2.5 Summary 101 3 Soil modeling for analyses and scaled model tests 103 3.1 Modellingofsoilproperties 103 3.1.1 Nonlinearstress-straincurves 103 3.1.2 Masingruleforcyclicloading 105 Table of contents ix 3.1.3 Hystereticmodelsforcyclicloading 107 3.1.3.1 Bilinearmodel 107 3.1.3.2 Hysteretichyperbolic(HH)modeland Hardin-Drnevich(HD)model 108 3.1.3.3 Ramberg-Osgood(RO)model 109 3.1.4 Comparisonoflaboratorytestdatawithequivalent linearmodel 109 3.1.5 Modelingofsoildilatancy 112 3.1.5.1 Dilatancyindrainedmonotonicshearing 112 3.1.5.2 Dilatancyindrainedcyclicshearing 114 3.1.5.3 Dilatancyinundrainedcyclicshearing 116 3.1.6 Dynamicstrengthincyclicloadingbasedonfatiguetheory 118 3.1.6.1 Regularandirregularcyclicloading 118 3.1.6.2 Two-directionalloading 121 3.2 Dynamicsoilanalyses 123 3.2.1 Distinctionsofdynamicanalysesonsoils 124 3.2.2 Goalsofdynamicsoilanalyses 124 3.2.3 Outlineofdynamicresponseanalyses 126 3.2.3.1 One-dimensionalwavepropagationanalysisin continuummodel 126 3.2.3.2 Complexresponseanalysisofdiscretizedmodel 131 3.2.3.3 Mode-superpositionanalysisofdiscretized model 133 3.2.3.4 Time-domainstepwisenonlinearanalysisof discretizedmodel 134 3.2.4 Equivalentlinearanalysis 137 3.2.4.1 Analyticalprocedure 137 3.2.4.2 Modificationofequivalentlinearanalysis 138 3.2.5 Equivalentlinearandnonlinearanalysescomparedwith modeltest 140 3.2.5.1 Shakingtabletestand1Dsoilmodel 140 3.2.5.2 Comparisonofanalysesandmodeltest 142 3.3 Scaledmodeltestsandsoilmodels 145 3.3.1 Needsformodeltests 145 3.3.2 Similitudeforscaledmodeltests 146 3.3.2.1 Howtoderivesimilitude 146 3.3.2.2 Derivationofsimilitudebyforces 147 3.3.2.3 Similitudeforothervariables 152 3.3.3 Soilpropertiesformodeltestunderultra-low confiningstress 155 3.4 Summary 159 4 Seismic site amplification and wave energy 163 4.1 Soilconditionandsiteamplification 164 4.2 Amplificationintwo-layersystem 166 4.2.1 Two-layersystemwithoutinternaldamping 166

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