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MesoscopicsimulationoftheacousticemissioncharacteristicsofmicrobialcementedsandinBraziliantest
CHENChunjin,XUGuobin,TANGYang,DUANYu(StateKeyLaboratoryofHydraulicEngineeringSimulationandSafety,TianjinUniversity,Tianjin300354,China)
Abstract:Therehavebeenmanystudiesonmicrobialcementedsand;however,themesodeformationcharacteristicsandthefractureprocessofthematerialsarenotclear.Usingthediscreteelementmethodandintroducingthetheoryofmomenttensor,themesoscopicmodelwasconstructedformicrobialcementedsandduringBraziliantest,anditsacousticemissioncharacteristicswerestudied.Itisfoundthatwiththegradualincreaseofstrain,thefracturestrengthexpandsfromthetopandbottomofthesamplealongthecentralaxis,thevalueofthefracturestrengthincreasescontinuouslyandeventuallyformingthemainaxisalongthesampleaxis.Theacousticemission(AE)frequencyandburststrengtharenormallydistributed,andtheburststrengthrangesfrom -7.52to-5.79.TheexponentialcorrelationbetweenthenumbersofAEandthemicrorupturesisnegative.Thisstudyprovidesanewwaytofindouttheruptureprocessofmicrobialcementedsand.Keywords:microbialcementedsand(MCS);Braziliantest;acousticemission;mesoscopicsimulation;discreteelementmethod(DEM)
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[1]$²�
.=Y¤¦�ƽJ®¤¦v<�¡¤gÈo
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[J].OycR+,
,2019,37(3):103-106+87.
[2]eÑr
.U6<~:È6Èo%I
[D].[k
:[kx
,
,2011.[3]
=Qv
,V¥J
,.Ì«
,ü
.<T~:ÐÐÈo%IS
²U½@
[J].Ö<©,
,2016,37(S2):175-186.[4]
e z
,qC©
,? R
,ü
.'ÖDhK1Èo1Ç&ª
È6Uë©0¿
[J].Ck+úx,,?
,2014,36(3):275-282.
[5]S T
.�3>UY5�*èvÖîfÃÄÇ&ªÈ6
%I
[D].Ck
:Ck+úx,
,2015.[6]
? R
,Xö:
,¹,«
,ü
.Ö9Ã1¿b1Ç&ªÈ6
Ugh�
[J].Ö9©,mab,?
,2013,32(5):951-959.
[7]Xö:
,n ä
,4OU
,ü
.-¨DhK1ÈoUÝÙÖ
ç#.%I
[J].Ö9©,mab,?
,2018,37(S2):3805-3816.
[8]4�P
,Ê,Ì
,?��
,ü
.-¨DhK1ÈoUÚÖ
Ç&ªmc¶�<È�%I
[J].'Q,?
,2017,42(S2):346-353.
[9]M K
,@Q#
,4�v
,ü
.'ÖDhK1ÈoÇ&ªc
¶V��<��
[J].�Cx,,?
()*+,P
),
2017,38(4):581-585.[10]
= Ç
,W ;
,̈d
,ü
.=YÖ6DhK1ÈoUÇ&
ªÈ�
[J].'Q,?
,2015,40(4):870-881.[11]
4 ù
,V X
.-¨ghã�¸U>Y]�h'Ö#.
�gÈ6Uij�±
[J].1!'Q
,2017,43(7):85-88.
[12]? R
,Xö:
,e z
,ü
.ü�ÖTúûظ�Ò��
Ö9È�Ã1äåë©�±1Ut�
[J].Ö<©,
,
2013,34(10):2801-2809.[13]HUBaowen,LIChanghong.Damagecharacteristicofrock
samplewithcirculardefectbasedonthedistinctelementandmomenttensormethods[J].ComputerModellingandNewTechnologies,2014,18(11):148-153.
[14]HAZZARDJ.Dynamicnumericalmodellingseismicityandvelocityinterferometry[D].Toronto:UniversityofToronto,2004.
[15],rP
.-¨xò�H3b�÷lr²UYÈ]Ö©
,¾�%I
[D].Ck
:Ck+úx,
,2017.[16]XUGuobin,TANGYang,LIANJijian,etal.Mineraliza
tionprocessofbiocementedsandandimpactofbacteriaandcalcium ionsconcentrationsoncrystalmorphology[J].AdvancesinMaterialsScience&Engineering,2017(19):1-13.
[17]TANGYang,XUGuobin,YANYue,etal.ThermalcrackinganalysisofmicrobialcementedsandundervariousstrainsbasedonDEMmethod[J].AdvancesinMaterialsScienceandEngineering,2018(4):1-15.
(789
178:
)
171!
1#
¯°±
,;
:wxyª4«'²ç³·¸´�µ}´E¥¦��
mericalmodelingforengineeringanalysisanddesigningofoptimumsupportsystemsforheadracetunnel[J].AdvancesinCivilEngineering,2018.
[15]?©_
,-Pf
,_ ©
.-¨
ANP-<�W»
TOPSIS²UåOÙS¼$$Î6jk
[J].OQRmOab
,?
,2019,30(1):143-149.[16]
@G;
,@Nü
,ja:
.-¨³l*¥
G2º´U&�j
kS²Ànb
[J].õ'mh{
,2019,35(8):30-35.[17]HUANGXiaoqing,YANGHang,XIAOBo,etal.Operat
ingstateevaluationconsideringcustomersatisfactionforelectricvehiclechargingstation[J].ElectricPowerAutomationEquipment.2014,34(10):96-101.
[18]ZHANGHairui,HANDong,LIUYujiao,etal.Smartgridevaluationbasedonantientropyweightmethod[J].PowerSystemProtectionandControl,2012,40(11):24-29.
[19]= G
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[J].yÈ+,mab,?
,
2018,15(10):2541-2548.[23]LIShucai,WUJing,XUZhenhao,etal.Unascertained
measuremodelofwaterandmudinrushriskevaluationinkarsttunnelsanditsengineeringapplication[J].KSCEJournalofCivilEngineering,2017,21(4):1170-1182.
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2013.
(v�9
171:
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[18]FENGKai,MONTOYABM,EVANSTM.Discreteelementmethodsimulationsofbiocementedsands[J].Computers&Geotechnics,2017,85:139-150.
[19]WANGYH,LEUNGSC.Aparticulate-scaleinvestigationofcementedsandbehavior[J].CanadianGeotechnicalJournal,2008,45(1):29-44.
[20]LISJAKA,GRASSELLIG.Areviewofdiscretemodelingtechniquesforfracturingprocessesindiscontinuousrockmasses[J].JournalofRockMechanicsandGeotechnicalEngineering,2014,6(4):301-314.
[21]CHENChen,MCDOWELLGR,THOMNH.Investigatinggeogrid-reinforcedballast:Experimentalpull-outtestsanddiscreteelementmodelling[J].SoilsandFoundations,2014,54(1):1-11.
[22]YANGShengqi,HUANGYanhua,JINGHongwen,etal.Discreteelementmodelingonfracturecoalescencebehav
iorofredsandstonecontainingtwounparallelfissuresunderuniaxialcompression[J].EngineeringGeology,2014,178:28-48.
[23]CAORihong,CAOPing,LINHang,etal.Mechanicalbehaviorofanopeninginajointedrock-likespecimenunderuniaxialloading:Experimentalstudiesandparticlemechanicsapproach[J].ArchivesofCivilandMechanicalEngineering,2018,18(1):198-214.
[24]POTYONDYDO,CUNDALLPA.Abonded-particlemodelforrock.[J].InternationalJournalofRockMechanicsandMiningSciences,2004,41(8):1329-1364.
[25]TANGYang,XUGuobin,QUChunlai,etal.Damagesimulationofarandomaggregatemodelionducedbymicrowaveunderdifferentdiscontinuousratiosandexposuretimes[J].AdvancesinMaterialsScienceandEngineering,2016,2016:1-11.
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