Micro to MACRO Mathematical Modelling in Soil Mechanics

407 Pages·2018·21.909 MB·English

by  Pasquale Giovine, Paolo Maria Mariano, Giuseppe Mortara

Trends in Mathematics
Pasquale Giovine
Paolo Maria Mariano
Giuseppe Mortara
Editors
Micro to MACRO
Mathematical
Modelling in
Soil Mechanics

Trends in Mathematics
TrendsinMathematicsisaseriesdevotedtothepublicationofvolumesarisingfrom
conferences and lecture series focusing on a particular topic from any area of
mathematics.Itsaimistomakecurrentdevelopmentsavailabletothecommunityas
rapidlyaspossiblewithoutcompromisetoqualityandtoarchivetheseforreference.
ProposalsforvolumescanbesubmittedusingtheOnlineBookProjectSubmission
Formatourwebsitewww.birkhauser-science.com.
Materialsubmittedforpublicationmustbescreenedandpreparedasfollows:
Allcontributionsshouldundergoareviewingprocesssimilartothatcarriedoutby
journals and be checked for correct use of language which, as a rule, is English.
Articles without proofs, or which do not contain any significantly new results,
shouldberejected.Highqualitysurveypapers,however,arewelcome.
We expecttheorganizerstodelivermanuscriptsina formthatisessentiallyready
fordirectreproduction.AnyversionofTEX isacceptable,buttheentirecollection
of files must be in one particular dialect of TEX and unified according to simple
instructionsavailablefromBirkhäuser.
Furthermore, in order to guarantee the timely appearance of the proceedings it is
essentialthatthefinalversionoftheentirematerialbesubmittednolaterthanone
yearaftertheconference.
Moreinformationaboutthisseriesathttp://www.springer.com/series/4961
Pasquale Giovine • Paolo Maria Mariano •
Giuseppe Mortara
Editors
Micro to MACRO
Mathematical Modelling
in Soil Mechanics
Editors
PasqualeGiovine PaoloMariaMariano
DICEAM DICeA
UniversityMediterranea UniversityofFlorence
ReggioCalabria,Italy Florence,Italy
GiuseppeMortara
DICEAM
UniversityMediterranea
ReggioCalabria,Italy
ISSN2297-0215 ISSN2297-024X (electronic)
TrendsinMathematics
ISBN978-3-319-99473-4 ISBN978-3-319-99474-1 (eBook)
https://doi.org/10.1007/978-3-319-99474-1
LibraryofCongressControlNumber:2018965812
MathematicsSubjectClassification(2010):74E20,76T25,74L50,74L10,74A60,70F35,70F99
©SpringerNatureSwitzerlandAG2018
Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof
thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,
broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation
storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology
nowknownorhereafterdeveloped.
Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication
doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant
protectivelawsandregulationsandthereforefreeforgeneraluse.
Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthisbook
arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor
theeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinorforany
errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional
claimsinpublishedmapsandinstitutionalaffiliations.
This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered
companySpringerNatureSwitzerlandAG
Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland
Preface
This volume collects selected papers from the Symposium on Micro to Macro
MathematicalModellinginSoilMechanicsheldinReggioCalabriaattheUniversità
MediterraneafromMay29thtoJune1st,2018.
The symposium was the fourth of a series started in 2000 in Reggio Calabria
by one of us (P. Giovine) and further continued by him with the collaboration
of always renewed scientific committees. Gianfranco Capriz (University of Pisa
and Accademia dei Lincei, Rome) also gave an essential impulse to this process
by contributing to the activity of the scientific committees in all editions of the
symposiumandaddressingresearchongranularmatter.
Thisseriesofsymposiaregisteredacontinuousgrowthinthenumberofpartic-
ipants. The various editions covered several aspects of the mechanics of granular
matter,fromtheoreticalissues(rangingfromkinetictheorytoextendedthermody-
namics, mixture theory, homogenization,and multi-scale continuum descriptions)
to computer simulations and experimental campaigns. Problems emerging in the
mechanics of soils often call upon methods and views from different theoretical
settings,aboveallwhenwerequirearatherdetailedmathematicalrepresentationof
thephysicsinvolved.Proposedmodelsimplychallengingmathematicalproblems.
Differentcomputationalmethodsshowtheirpowerfulnessinspecificcircumstances;
theirtechnologyrequiresattimesrefinementsoradaptations,withconsequentneed
ofconvergenceproofs.
Experimentalcampaignsvaryfromlaboratoryto in situ testing. However,their
planningrequiresapreliminarytheoreticalviewonthephenomenathatwewantto
investigate,takingintoaccountthelimitsofexperimentaldevices.
Duetothemultiplicityofcircumstances,methods,physicalaspects,models,and
theoreticalproblemsinvolvedinthemechanicsofsoils,wefinditveryhardtooffer
a complete view on the discipline. So, with this volume, we just try to furnish a
collectionofpapersabletoshowasignificantandvariegateportionofthescenario.
Thearticlescollectedherecovertheoretical,computational,andexperimentalwork.
The readers find the analyses of questions dealing with crushing of particles,
poro-mechanics, dynamics of pollutants, granular jamming, swelling, solid-fluid
and chemo-mechanical couplings, greenfield tunneling, aging and liquefaction,
v
vi Preface
photoelasticity,descriptionofmicrostructures,etc.Intheseanalyses,methodsfrom
theoreticalcontinuummechanicsplayanessentialrole,evenwiththehelpofrather
sophisticated analytical tools. Computational strategies based on finite or discrete
elementsappearasuseful(ifnotnecessaryattimes)toolstoquantifythesolutions
to specific problems. The experimental techniques involve in some cases X-ray
tomographybeyondthestandardtriaxialcellandothertraditionalprocedures.
In summary, this volume indicates a variety of peculiar aspects of the current
trendsin the mechanicsof soils, which can be a source of suggestionsfor further
researches.
We gratefully thank Maurizio Brocato, Claudio di Prisco, Wolfgang Ehlers,
James T. Jenkins, Stefan Luding, David Muir Wood, Francesco Oliveri, and
KenichiSoga for their help in reviewingthe papersin this volumeand servingas
chairpersonsduringthesymposium.
Also, we thank the University of Reggio Calabria for the sensibility shown
in deciding to host and support the symposium. The additional support of the
ItalianNationalGroupinMathematicalPhysics(GNFM-INDAM)hasbeenanother
essentialfactorintheorganization.
ReggioCalabria,Italy PasqualeGiovine
Florence,Italy PaoloMariaMariano
ReggioCalabria,Italy GiuseppeMortara
June2018
Contents
StiffnessofDestructuredWeakCarbonateRock............................. 1
F.J.Alvarez-Borges,B.N.Madhusudhan,andD.J.Richards
ANonlinearHyperelasticAnisotropicModelforSoils ...................... 11
A.Amorosi,F.Rollo,andG.T.Houlsby
Mapping GrainStrains in Sand Under Load Using Neutron
DiffractionScanning............................................................. 23
Stefanos D. Athanasopoulos, Stephen A. Hall, Joe F. Kelleher,
ThiloPirling,JonasEngqvist,andJohanHektor
Dual Porosity/Single Permeability Poromechanics Response
ofanInclinedWellborewithNo-FlowOuterBoundary..................... 35
SilvioBaldinoandStefanZ.Miska
NumericalScatteringExperimentsonAssembliesofClayPlatelets....... 49
GeorgiosBirmpilis,MatiasNordin,andJelkeDijkstra
Granular Jamming as Controllable Stiffness Mechanism for
MedicalDevices .................................................................. 57
L.Blanc,A.Pol,B.François,A.Delchambre,P.Lambert,andF.Gabrieli
AdhesionFailuresinGranularMixtures...................................... 67
MicheleBuonsanti
EvolutionofGranularContactGain,LossandMovementUnder
ShearStudiedUsingSynchrotronX-rayMicro-tomography............... 81
ZhuangChengandJianfengWang
MicrostructuralChangesUnderlyingtheMacro-response
ofaStiffClay..................................................................... 89
Simona Guglielmi, Federica Cotecchia, Francesco Cafaro,
andAntonioGens
vii
viii Contents
MicromechanicalInsights of StrainRateEffect onCrushable
GranularMaterials.............................................................. 99
SoukatKumarDasandArghyaDas
CompressibilityandSwellingofanOverconsolidatedHighlyPlastic
PaleogeneClay ................................................................... 109
Irene Rocchi, Giorgia Di Remigio, Gitte Lyng Grønbech,
andVarvaraZania
DEMAnalysisofJackedOpen-EndedPile ................................... 119
NuoDuan,YiPikCheng,JunWeiLiu,andFengYu
Chemo-mechanical Modelling in Bonded Geomaterials
fromtheMicro-totheMacro-scale............................................ 127
AlessandroGajo,FrancescoCecinato,andTomaszHueckel
GeochemicalControlof Laponite Dispersions for Pore Fluid
EngineeringofGranularSoils.................................................. 135
AmyGetchell,HailieSwanson,andMarikaSantagata
AdsorptionandDiffusionofPollutantsinUnsaturatedSoils............... 147
PasqualeGiovine
ModellingWaterFlowandIonTransportinClaySoils:TheCase
ofKClWellsintheHeadofanEarthflow..................................... 159
GiuseppeM.Grimaldi,DarioM.Pontolillo,JacopoDeRosa,EnzoRizzo,
andCaterinaDiMaio
MicromechanicsofGranularMediaCharacterisedUsingX-Ray
Tomographyand3DXRD....................................................... 169
StephenA.Hall,RyanC.Hurley,andJonathanWright
AgingEffectsonLiquefactionResistanceandShearWaveVelocity
inReconstitutedSand ........................................................... 177
TsuyoshiHonda
CoupledFluid-ParticleModelingofSubmergedGranularCollapse ...... 187
L.Jing,G.C.Yang,C.Y.Kwok,andY.D.Sobral
TheParadoxoftheAspectRatioandItsEffectonBulkStressofa
GranularAssembly .............................................................. 195
ReidKawamotoandTakashiMatsushima
TheCoefficientofLateralEarthPressureK SubjectedtoFreezing
0
andThawingforGranularSoils................................................ 205
Incheol Kim, Garam Kim, Seongcheol Hong, Jiyeong Lee,
andJunhawnLee
Photo-ElasticObservationofLoadingandCrushingofaSingleGrain... 213
DanutaLes´niewska,IwonaRadosz,andMagdalenaPietrzak
Contents ix
EffectofRubberInclusionontheFrictionAngleatCriticalState
forDifferentHostSands......................................................... 225
W.Li,C.Y.Kwok,K.Senetakis,andC.S.Sandeep
Does G of Granular Materials Carry Informationon Their
0
ParticleCharacteristics? ........................................................ 235
B.N.MadhusudhanandM.C.Todisco
HeterogeneityandVariabilityofClayRockMicrostructureina
Hydro-MechanicalDoubleScaleFEM×FEMAnalysis.................... 247
B.Pardoen,S.DalPont,J.Desrues,P.Bésuelle,D.Prêt,andP.Cosenza
StrainsInsideShearBandsObservedinTestsonModelRetaining
WallinActiveState.............................................................. 257
MagdalenaPietrzakandDanutaLes´niewska
StorageandLossModuliinanIdealAggregateofElasticDisks,
withLubricatedContacts....................................................... 267
GiuseppinaRecchia,JamesT.Jenkins,andLuigiLaRagione
Particle Shape Distribution Effects on the TriaxialResponse
ofSands:ADEMStudy......................................................... 277
R.Rorato,M.Arroyo,A.Gens,E.Andò,andG.Viggiani
AConceptualFrameworkforParticleCrushing:FromtheStrength
oftheParticletotheEvolutionoftheGranularDistribution............... 287
YounesSalamiandJean-MarieKonrad
TheEffectsofStrainLocalizationontheDeterminationofCritical
StateSeenwithExperimentalandNumericalModels....................... 295
Erminio Salvatore, Edward Andò, Giuseppe Modoni,
andGioacchinoViggiani
An ExperimentalStudy onthe TangentialContactBehaviour
ofSoilInterfaces.................................................................. 309
C.S.SandeepandK.Senetakis
ExperimentsShow a SecondLengthScalein WeaklyCohered
GranularMaterials.............................................................. 319
SaurabhSingh,JohnC.Miers,ChristopherJ.Saldana,andTejasG.Murthy
Influence of Irreversible Contacts on the Stiffness of Dense
PolydispersePackings ........................................................... 327
H.Smit,R.Kievitsbosch,V.Magnanimo,S.Luding,andK.Taghizadeh
AComparativeStudyofGreenfieldTunnelling inSands:FEM,
DEM,andCentrifugeModelling............................................... 337
GeyangSong,AndreaFranza,ItaiElkayam,AlecM.Marshall,
andAssafKlar