平面应变条件下的Mohr-Coulomb准则的等广义Mis

2005(CCTAM2005)Mohr-CoulombMises1211.4000412.400016Mohr-CoulombMisesMohr-CoulombMisesψMohr-CoulombMisesπ0=ψMohr-CoulombDPDP5ϕψ=Mohr-CoulombDP3MisesMohr-CoulombMisescϕPrandtlψ*11,2,31(1.7100482.4430023.610065)(CCTAM2005)PcPm1.2.,,3.4.,,5.110)(ibE-5,Maxgenation,,;,6.,Psize10%,,,7.(3),,,,,430072(CCTAM2005)SakuraiυEEGcϕ1ϕc2ASQcϕVar][SQE][SQ3QiSjiSQjSQ),(jSiSQQCov420m62G),(yxE),(yx),(yxc),(yxϕ040=A030024(CCTAM2005)RFPA2DRFPA2DRFPA2D(1)-(2)(Weibull)(3)RFPA2D(4)()(5)(6)RFPA2DRFPA2D2(1)(2)(3)(4)(5)216.5%10091.3%210009thegivenforce(CCTAM2005)123411,2,3(1.7100482.4430023.610065)(CCTAM2005)MicrosoftVisualBasicFortranVisualBasicFORTRANVisualBasicVisualBasicFORTRANVisualBasicFORTRANshellFORTRANFORTRANVBFORTRAN1008029095[1-3][6-9](CCTAM2005)30×20×200cm370cm8.5%20.65%1.145kg/m31.642kg/m3125115703020553018.5%1.145g/cm371.53220.65%1.545g/cm361.5320.4%1.494g/cm34305528.61.418g/cm318.4%520.4%1.642g/cm378.2615461.418g/cm318.4%(430071)(CCTAM2005)CBRCBRCBRCBRCBRCBR--(430070)(1)(2),,,,HH’HH’6.3m6.5@200200mm,100mmC2021948150-3.1m100mmC20-3.6m100mmC20(CCTAM2005)-4.6m100mmC20100mmC20:,,,,,,,-40mm30mm37mm43mmROCTEST(ABS)Excel(0.30-5.10M)(0.90-6.20M)(6.10-8.50M)(CCTAM2005)(1.00-21.20M)4.50-22.00M20049,100084ZienkiewiczUgai2004(CCTAM2005),1214300722100029300m300m80~10071017097.5X110km5.6m1.15mX7.6km619967.01X2km1968Borrego6.4CoyoteCreek31km70km50kmImperialSanAndreas1976120km(CCTAM2005)276825JGJ94-94CC-1~C-4λ=2iαnλC-5=3nλC-64C-4n4C-5n112…m1−n=001λ44332210AAAAAλλλλ++++1λ2λ2=0012m=4=-1=366m44332210AAAAAλλλλ++++mn1λ2λnn=41200KN1400KN1500KN2000KN=1236=1λ=0.831λ=0.960=2λ=0.732λ=0.973m=3λ=0.698=0.8950.9730.698mmm12m1212λGB50021-2001==ukQsγumQsγsγδ)678.4704.1(12nn+−δ=4nδ=0.223=0.74=0.74×1525=1128.5KNsγukQ14nλ22mλsγ(CCTAM2005)4300711,211(1.,,4000412.,,400067)(500m)(CCTAM2005)114180m(Q2)60320203031,221.1000442.100083(CCTAM2005)Tmmi),,,()(21αααααΛ==],[ααα=I)(Ifα)()(IIfuKαα=∑∆=∆((IjIKuαα)(IKα))((cIcfuKKαδ=+−))1cjuK)(Ifαδ+−−()1cjcKfIcuuuα∆+=],Iu=[u),,2,1(miuuiiiΛ=≤≤umiuuii,],[Tm),αuuIici=∈mi,,()(21ααααΛ==,,2,1Λ=],[αααα=∈I}],,[nRuu∈α),(Iuu=∈α)(:{fuK==Ωαα],[αα=αα∈I]},[),()(:{minuuufuKIuu∈==∈αααα]},[),(uuufu∈=α)(:{maxKIuu=∈ααα100083[1]πSMPMises(1(a))(1(b))2()3(CCTAM2005)πα1=αMises0=αSMPnn=1n=00n1Pr1fM0σp∗q1σ2σ3σ)a(1σ2σ3σ0.75=α1=α0.5=α0.25=α0=αSMPMises(a)(b)1π(a)(b)2SMPCM−TrescaMises1=α1,0bdd==α0bd=0=α(a)πPr10σp∗qfM10n0=np∗qMisesTresca1fM0σ1=npSMPCM−∗q0=n1=n(b)3123331.4300742.4300743.430074(CCTAM2005)F0VFPf(1-Pf)F0=1.05VF=0.10Pf=0.31560.6844F0=1.05VF=0.20Pf=0.40520.5948F0=1.25VF=0.10Pf=0.0228F0=1.25VF=0.20Pf=0.158711Table1FailureprobabilitiesofslopebasedonnormaldistributionVFF00.020.050.080.100.150.200.250.300.400.500.600.801.050.00870.17110.27430.31560.37450.40520.4247043640.45220.46020.46810.47611.100.00000.03440.12710.18140.27090.32640.35940.38210.40900.42860.44040.45621.250.00000.00000.00620.02280.09180.15870.21190.25140.30850.34460.37070.40131.500.00000.00000.00000.00050.01320.04750.09180.13350.20330.25140.28770.33722.000.00000.00000.00000.00000.00000.00620.02280.04750.10560.15870.20330.2643F1F0=1.05VF=0.02Pf=0.0087F1=1.041F0=1.25VF=0.10Pf=0.0228F1=1.2215111F0=1.05V0=0.0285P0=0.047636051050072702510160(CCTAM2005)1234121(1,1008712,100083)Geo-DSCM(CCTAM2005)DSCM1)2)3)4)750021()neuroshell@classifierneuroshell@classifierANSYSANSYS(CCTAM2005)ANSYSSOLID65LINK8neuroshell@classifierANSYSneuroshell@classifier750021210mmcϕ(CCTAM2005)[3][4][5][1].121(1.2.)stresschain(archingeffect)(CCTAM2005)ArchingeffectsNMW-410075,(CCTAM2005)----2002---l-2n34(200210009)(CCTAM2005)EZ,w1µE21µ2CiAaG2iN21Y,vBb,121ABimn[][][]mnmnmnKKK+=BiAii1[[]AmniK]BmniKmn20(1)Plaxis2210096(CCTAM2005)43007212m12312312312(CCTAM2005)1231212122500912341(CCTAM2005)234511200030BiotBiotHelmholtzHelmholtzHelmholtz(CCTAM2005)/a/ab/a,,β=0˚45˚90˚443002JRCJCSJRCJMCJRCJRCJRCLeeTurkSakellariouD1self-similar(CCTAM2005)(self-affine)JRC200002Q~S41~68%MarcQ~SMohr-CoulombMARCIstress1mm2~3Dd2(CCTAM2005)250014GB50007-20021fak[s]fak1sp1][sfak1[]s2[s]ak2fakf1ps2pss[]fak5.3.5ss[s]pfak321[s]25.3.5(fak)s3[s]faksfakfakfak(CCTAM2005)1121100080212hpDhIoutin/)8329.0)/ln(1006.0(+=12hpDhIoutout/)1337.0)/ln(078.0(+−=hpinIoutIoutDQQoutinQtip∫⋅⋅+′⋅⋅⋅⋅=houtoutoutdzzIrtgkDQ00)(δπ3∫⋅⋅−′⋅⋅⋅⋅=hininindzzIrtgkDQ00)(δπ4)sin1()sin1()()(4022ϕϕβπ−+⋅⋅−′⋅⋅⋅−⋅=hIrkDDQininouttip5kδϕin0Dr′z(CCTAM2005)430071tRQD175m123RQD411,3211500272037002;3100029