围岩稳定分析的熵突变准则研究

253Vol.25No.320043RockandSoilMechanicsMar.20042002-12-0250379005200202123197110007598(2004)03043704210098TU457ACriterionofentropycatastropheofstabilityofsurroundingrockXUChuan-huaRENQing-wenCollegeofCivilEngineering,HohaiUniversity,Nanjing210098,ChinaAbstract:Surroundingrockofundergroundengineeringhashighnonlinearcharacteristics,soitsmechanicalbehaviorscanbestudiedandpredictedbynonlineartheories.Researchofstabilityofsurroundingrockwithdissipativestructureandcatastrophetheoryhelpstounveilproceduresandcausesofrockfailureandtodevelopamethodofsolvingstabilityofsurroundingrock.Keywords:stabilityofsurroundingrockdissipativestructureentropycuspcatastrophe12070[14]2.Prigogine2070[5].Prigogine,,2.12004Prigogine[56][13]2.2[7][8][9]3BoltzmannBoltzmannWSlnf=1SBoltzmannW[5]WSniqii=12nQ∑=niiqQ2Qqii=li=12n3∑=nii1lil0i=12n4il0i=12niili=12nS∑-=niiiSllfln5S4383[10]Sni1=li=12nSS4[11][12]Thom1972[1314]ik∫=iviijijiVkqd)(es6ijsijeVii)(kqi25SSS=f(t)t4∑==41iiitaS7∑=∂∂=41iiiitfa8t434aax-7vxuxxxV++=24)(924234283aaaau-=343324324182aaaaaaav--=MvuxxxV++=∂∂030241023278vu+=Δ11Δ011Δ{S}={S1S2Sm}4392004∑==niiitatS1)(1212ai11Fig.1Programmingschemeofentropycatastrophe512[1].[J].199618198100.[2].[M].19935765.[3],,.21[J].199618498102.[4].[J].200323437.[5].[M].1995150157.[6].[J].2000193265269.[7].[J].199971914.[8].[M].:20015155.[9].[J].1997174332335.[10].[J].1998154116121.[11].[J].200120213031309.[12].[M].2000147150.[13].[J].1997194325328.[14].[J].1993116573.440