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3,(,300072):,,,,,,,,,,,:;;;;:TU432:A:1004-9592(2003)02-0022-063:(59679003)(973606311):2002-05-201,,,,[4],,-[5],,,,,,,,,,,[1,4,5,7,8,9,1114],,,,FangIshibashi(1986):(T)(RB)(RT),,,,0.380.47;,0.300.24;,0.390.57,[16],(RB)(RT),,,2(T)[16],2.1,1(a)ydy,1(b):py,py+dpy,px,S1,r,S2,2220036No.2©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.dw11)q=0,[16]:P=12C'2sin(H2U)cotHcos(H2U2D)(1)2):p=KcosDq-C'AtK-2'-yHAtk21+C'AtK-2'-yH(2)3):Hpt=13+AtK-13(AtK+1)H3q+C'2q+C'(3):At=cos(H2U2D)sin(H2U)tanHcosD;r;D;U;K,:K=1-sinU(Jaky1944)2.21),,:P=12C'2sin(H2U)cotHcos(H2U2D)(4)2):pa=ryka(5)3):Hp=13H3q+C'2q+C'(6)q=0,Hp=13H,,K,Atk1,(3)(6)3(RB)3.1,,,,1(a),ydy,22RB:pxdy+S2dysinHcosH-rdysinHsinH-S(H-y)cotH+(S+dS)(H-y-dy)cotH=0,:px+S2cotH-r-ScotH+(H-y)dSdycotH=0(7):py(H-y)cotH+dW-(py+dpy)(H-y-dy)cotH-S1dy-S2dysinHsinH-rdysinHcosH=0:dW=[(H-y)cotH+(H-y-dy)cotH]dy2C,dpydy=C+1H-y[Py-r-(S1+S2)tanH](8),S,S=pytanU(9)px=Kpy,S1=pxtanD,S2=rtanU(9)(7),r=(H-y)cosHsinUsin(H2U)dpydy+KsinHcosU2cosHsinUsin(H2U)py(10)(10)(8),dpydy=1-cos(H2U2D)cosUcosHcosDKpyH-y+sin(H2U)cosUsinHC(11)(11)3.23220036No.2©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.:Atb=cos(H2U2D)cosUcosHcosD,btb=sin(H2U)cosUsinH(12)(11):dpydy=-(AtbK-1)pyH-y+btbC(13)(13):y=0,py=qpy=q-btbC'AtbK-2H-yHAtbK-1+btbC'AtbK-2H-yH(14)px=Kpy,:pxtb=Kq-btbC'Atb*22H-yHAtbK-1+btbC'AtbK-2H-yH(15)3.3Pxtb=H0pxtbdy=1AtbqH+12btbCH2(16)Ptb=PxtbcosD=1AtbcosDqH+12btbCH2(17)q=0,(12),Ptb=12C'2sin(H2U)cotHcos(H2U2D)(18)(18)(1)(4),,3.4M=H0(H-y)pxtbdy=KH2AtbK+1q+13btbC'(19)HptbHptb=MPxtb=13+AtbK-13(AtbK+1)H3q+btbC'2q+btbC'(20)q=0,Hptb=13+AtbK-13(AtbK+1)H(21)3,D,U,FangIshibashi(1986)44.1,,,,,RB,43RB4RT:pxdy+S2dysinHcosH-rdysinHsinH+S(H-y)cotH-(S+dS)(H-y-dy)cotH=0(22),px+S2cotH-r+ScotH-(H-y)dSdycotH=0(23):dpydy=C+1H-y[py-r-(S1+S2)tanH](24),S,:S=pytanU(25),U,Upx,S1S2pxS2(25)(22)r=-(H-y)cosHcosUsinUdpysin(H-U)cosUdy+KsinHcosUsin(H-U)+cosHcosUsinUsin(H2U)cosUpy(26)pxS2(26)(23),dpydy=1-cos(H2U2D)cosUtanHsin(H2U2U)cosDKpyH-y+4220036No.2©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.sin(H2U)cosUsin(H2U2U)C(27)(27)4.2:Att=cos(H2U2D)cosUtanHsin(H2U2U)cosD,btt=sin(H2U)cosUsin(H2U2U)(28)(27)dpydy=-(AttK-1)pyH-y+bttC(29)(29):y=0,py=qpy=q-bttC'Att*22H-yHAttK-1+bttC'AttK-2H-yH(30)px=Kpy,:pxtt=Kq-bttC'Att*22H-yHAttK-1+bttC'AttK-2H-yH(31)4.3Pxtt=H0pxttdy=1AttqH+12bttCH2(32)Ptt=PxttcosD=1AttcosDqH+12bttCH2(33)q=0,(28),:Ptt=12C'2sin(H2U)cotHcos(H2U2D)(34)(34)(18)(1)(4),,4.4M=H0(H-y)pxttdy=KH2AttK+1q+13bttC'(35)Hptt=MPxtt=13+AttK-13(AttK+1)H3q+bttC'2q+bttC'(36)q=0,:Hptt=13+AttK-13(AttK+1)H(37)5,U,U(D=Uö2),FangIshibashi(1986)55RT5.1(1)(18)(34)(4),,,Dubrova(1963)(Tsinker,1997)5.2,,6,,U=36,D=Uö2,,,0.30.4;,,;,,0.60.7Dubrova(1963)FangandIshibashi(1986)5.37,U,FangandIshibashi(1986),0.400.45;0.240.30;5220036No.2©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.0.460.57677,FangandIshibashi(1986)6,,,,,1),,2),,,,0.400.45;0.240.30;0.460.573),,,,,4),,,,,5),,,,,,,0.240.30,(1ö3),,,0.460.57,,,,,10%28%,19%35%,6220036No.2©1995-2005TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.[][1]Bros,B.1972.Theinfluenceofmodelretainingwalldisplacementsonactiveandpassiveearthpressuresinsand[C].Proceedingsofthe5thEuropenaConferenceonSoilMechanics,Madrid,Vol.1,24249.[2]Coulomb,C.A.1776.Essaissuruneapplicationdesreglesdesmaximisetminimisaquelquesproblemsdestatiquetelatitsalarchitecture[M].Mem.Acad,Roy,pres.Divers,Sav,5,7,Paris.[3]Dubrova,G,A.1963.SoilöStructureinteraction[M].InlandWaterwayTransportPublishingHouse,Moscow(inRussian).[4]Fang,Y-S.,andIshibashi,I.1986.Staticearthpres2sureswithvariouswallmovements[J].JournalofGeotechnicalEnginering,ASCE,112(3):317333.[5]James,R.G,andBransby,P.L.1970.Experimentalandtheoreticlinvestigationsofpassivepressureprob2lems[J].Geotechnique,20(1):1737.[6]Jaky,J.1944.Thecoefficientofearthpressureatrest[J].JournaloftheSocietyofHungarianArchitectsandEngineers,Budapest.[7],F.K.[M]..:,1983.[8]Mackey,R.D.,andKirk,D.P.1967.Atrest,activeandpassiveearthpressures[C].ProceedingsofSouthEastAsianConferenceonSoilMechanicsandFoun2dationEngineering,Bangkok,187199.[9]Matteotti,G.1970.someresultsofquay-wallmodeltestsonearthpressure[C].ProceedingsInstituteofCivilEngineers,London,47:185204.[10]Rankine,W.J.M.,Onthestabilityoflooseearth[M].Phil.Trans.Roy,Soc.,Lond,147.Patr1,927,1857.[11]Rowe,P.W.,andPeaker,K.1965,Passiveearthpressuremeasurements[J].Geotechnique,15(1):5778.[12]Schofield,A.N.1961.Thedevelopmentoflateralforceofsandagainsttheverticalfaceofarotatingmodelfoundation[C].Proceedingsofthe5thIntem2ationalConferenceonSoilMechanicsandFounda2tionEngineering,Paris,Vol.2.479484.[13]Sherif,M.M.,andMackey,R.D.1977.Presuresonretainingwallwithrepeatedloading[J].JournalofGeotechnicalEngineering,ASCE,103(11):13411345.[14]Terzaghi,K.1932.Recordearthpressuretestingma2chine[J].EngineeringNewsRecord109,September29,pp.365369.[15]Tsinker,G.P.1997.Handbookofportandharboren2gineering-geotechnicalandstructuralaspects[M].Chapman&Hall,I(T)PInternationalThomsonPub2lishing,NewYork.[16]Wang,Y-Z.2000.Distrbutionofearthp