岩土三轴试验中的粘聚力与内摩擦角

1612200712CHINAMININGMAGAZINEVol.16,No.12December2007岩土三轴试验中的粘聚力与内摩擦角杨同1,徐川2,王宝学1,张磊1,廖国华1(1北京科技大学金属矿山高效开采及安全教育部重点实验室,北京100083;2北京大学微电子研究院,北京100871):,,,c,,c,,cc(),K();K:;;;;:TU411/TU459:A:1004-4051(2007)12-0104-04ThecohesivestrengthandthefrictionangleinrocksoiltriaxialrestsYANGTong1,XUChuan2,WANGBaoxue1,ZHANGLei1,LIAOGuohua1(1UniversityofScienceandTechnologyBeijingStateKeyLaboratoryofHighEfficientMiningandSafetyofMetalMines,Beijing100083,China;2PekingUniversityInstituteofMicroelectronics,Beijing100871,China)Abstract:AccordingtoMohrCoulombfailurecriterion,theaxialstressatfailureinrocksoiltriaxialtestsisinlinearrelationshipwiththelateralstressInthisarticle,agroupofformulaetocalculatethecohesivestrengthcandthefrictionanglefromrocksoiltriaxialtestsisobtainedbysolvingthestresscircle!senvelopeTheformulaehaveclearphysicalmeaningsandconvenientapplicationsInaddition,candvaluescanberespectivelycalculatedbyusingsuchformulaesothatanotherwaytocalculateshearstrengthparametersisproposedAccordingtotheanalysis,thecohesivestrengthcisproportionaltoc(theaxialstressatfailurewhenlateralstressiszero),anddecreaseswhenK(theslopeoftheaxialstressatfailureversuslateralstress)increases;thefrictionangleincreaseswithKUsingtheformulae,rocksoiltriaxialtestdata,whicharerepresentativeinrocksoilengineeringdomain,arelistedinthisarticleKeywords:rocksoiltriaxialtests;shearstrength;cohesivestrength;frictionangle;envelope:2007-07-171,∀∀∀c,,[1-2],,[3-5],1()3,3~1,,,(1+3)/2,(1-3)/2(),,[3-5][6][7][8]c1~3,,c2c1~3,:1=c+K3(1)12:113,(1):c1(),,K(1)212##,i~,[(1+3)/2,0][(1-3)/2]:=c+tg(2),;;c;,(),,(3,1)(1)cK11~32~Mohr,(3,1),f:f(,,1,3)=-1+322+2-1-32=0(3)1~3g:g(1,3)=1-K3-c=0(4):!f!1∃!g!3-!f!3∃!g!1=0(5)(3)(4)(5),13,fg:!f!1=3-,!f!3=1-,!g!1=1,!g!3=-K!f!1∃!g!3-!f!3∃!g!1=(-3)K-(1-)(6)(6)(4),1=12[(K+1)+C](7)3=12K[(K+1)-C](8)(7)(8)(3),:2-12K(K+1)2+C(K-1)2+42=12K(K2-1)+C(K+1)2:||=K-12K+C2K(9)c=C2K(10)=tg-1K-12K(11)(10)(11)(1~3)c3ccK(10)(11),ccK,K134K=1~12,c/c()Kc:K=1+2tg2(1%1/sin)(12)C=2cK(13)34,:&ccK,c,K∋K,KK(1,K=1,=0,,K3~8105163c/c~K4~K1c/cKKc/c/())Kc/c/())10050005002244181150408115460020445582003541947700189485925031625308001775106300289300010001585490400250368712001445780,,1~44:&3,1;∋3~1,cK(:c);∗(10)(11)c256()3()1~3(10)(11)c,[5][8][9],2()(:MPa)3131092822020495013069202630001005520220681080222954101410635186411018398352728110*440635297021625225208c=11961(MPa)K=4211c=2914(MPa)=3804()):∀=2418g/cm3,(+)M=3+9,()N=4,*51~3610612:3c()∀/g∃cm-3MN,/MPac/MPaKc/MPa/())1()2418124,0-35119614211291438041)2126,0-308554580017764490[8]3()1390205,0-202548456359639831)4()3161145,0-30164461067251755961)5()2850145,0-302720269882827331)6()2800106,0-4076596343152146691)7()2648246,0-4078345586165744131)8()2684125,0-2094844071235037271)9()2562125,0-203413355690534131)10()2606165,0-2564075802133044911)11()2725165,0-2599876215200346291)12()23444,1-4106535702823422[9]13()2195114,0-405329283915839521)14(),44,01-0402111662008214401)15(),44,01-0402541873009317691)16(),44,01-0402202330007223541)17,13,05-430070207800242050[5]18,44,01-04008511110040301[5]5(1)-,c:c=c/2K,=tg-1K-1/2K,c(2)1~3,,,c,cc,K;K(3)3,,,(4)()c,(12)(13)cK+1,.[J].,2004,38(4):529-560.+2,,,.[J].,2001,20(6):753-762.+3,GB/T5012399,[S].:,1999.+4,SL2642001,[S].:,2001.+5,GB/T501231999,[S].:,1999.+6,,.[J].,1991,18(2):53-55.+7,,.[J].,2003,(4):43-46.+8,,,,.[J].,2004,23(15):2489-2493.+9,,,,.[J].,2001,20(4):478-480.107