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1、JournalofEngineeringGeology工程地質(zhì)學(xué)報(bào)1004—9665/2010/18(2)一0211—05基于破壞概率的巖土試件剪切破壞角分析錢(qián)海濤①②譚朝爽③孫強(qiáng)②④(①中國(guó)地震局地殼應(yīng)力研究所北京100029)(②中國(guó)科學(xué)院地質(zhì)與地球物理研究所,中國(guó)科學(xué)院工程地質(zhì)力學(xué)重點(diǎn)實(shí)驗(yàn)室北京100029)(③長(zhǎng)江三峽勘測(cè)研究院有限公司宜昌43~3)(④中國(guó)礦業(yè)大學(xué)資源與地球科學(xué)學(xué)院徐州221116)摘要巖土體剪切破壞時(shí)剪切破壞角是一個(gè)一直在探討的問(wèn)題,傳統(tǒng)理論解為Mohr—Coulomb解和Roscoe解,基于試件的宏觀破壞現(xiàn)象受微觀破壞概率的分布制約這一前提,從巖土
2、體試件內(nèi)部破壞概率分布函數(shù)的角度重新研究了這一問(wèn)題。通過(guò)對(duì)試件內(nèi)部微觀破壞概率由微觀到宏觀的統(tǒng)計(jì)分析與坐標(biāo)變換,發(fā)現(xiàn)在形式上破壞概率主軸即相當(dāng)于主應(yīng)力,并基此給出了破壞概率破壞莫爾圓。還對(duì)Mohr—Coulomb破壞準(zhǔn)則與微觀破壞概率統(tǒng)計(jì)之問(wèn)的關(guān)系開(kāi)展了探索分析,結(jié)果表明Mohr—Coulomb準(zhǔn)則是描述試件剪切破壞時(shí)大量微破壞行為共同作用的統(tǒng)計(jì)結(jié)果,Weibul1分布僅是巖土試件內(nèi)部破壞概率分布形式的一種描述,基于數(shù)學(xué)概率推導(dǎo)的巖土試件破壞模型能更好的與試件的破壞準(zhǔn)則聯(lián)系起來(lái)。關(guān)鍵詞剪切破壞角概率Weibul1分布破壞概率莫爾圓中圖分類(lèi)號(hào):P642文獻(xiàn)標(biāo)識(shí)碼:AANALYSI
3、STOANGLEBYSHEARFAILUREoFRoCKANDSoILSAM-PLESBASEDoNFAILUREPRoBABILITYQIANHaitao~TANZhaoshuang③SUNQiang~((~)InstituteofCrustalDynamics,ChineseEarthquakeAdministration,Beqi100085)(~KeyLaboratoryofEngineeringGeomechanics,InstituteofGeologyandGeophysics,ChineseAcademyofSciences,Beijing100029)((~L
4、imitedcompanyofChangdiangSanxiasurveyInstitute,Yichang443003)(@SchoolofResourcesandEarthScience,CUMT,Xuzhou221008)AbstractTheresearchofanglebyshearfailureisahottopicandkeypointinengineeringgeology,andthecon—ventionalanalyticsolutionsareMohr—CoulombsolutionandRoscoesolution.‘Considerthefactth
5、atthemacro—failureiscontrolledbythedistributionprobabilityofthosemicro—failuresinsamples,Afailureprobabilitymodelisintro—ducedtoanalyzetherockandsoilshearingfailureangle,andthenaMohrcircleoffailureprobabilityisgivenoutonthebaseofafoundthattheprincipalaxisoffailureprobabilityistheequalofthepr
6、incipalstressaxis.Moreo—ver,ananalysesabouttherelationbetweenmicro—failureprobabilityandMohr—Coulombfailurecriterioniscarriedout,andIt’SfoundthatMohr·Coulombcriterionisastatisticalresultoflargenumbermicro—failuresinthefailureprogressandtheWeibullmodelisonlyaspecialcaseofthedistributionprobab
7、ilityoffailures,andSOthefailure收稿日期:2009—07—30;收到修改稿日期:2009—12—30.基金項(xiàng)目:地震局地殼應(yīng)力研究所基本科研業(yè)務(wù)專(zhuān)項(xiàng)基金(編號(hào)ZDJ2009-07)資助;中國(guó)科學(xué)院工程地質(zhì)力學(xué)重點(diǎn)實(shí)驗(yàn)室2008開(kāi)放基金資助,中國(guó)礦業(yè)大學(xué)啟航計(jì)劃。第一作者簡(jiǎn)介:錢(qián)海濤,主要從事工程地質(zhì)、巖土體力學(xué)與地震地質(zhì)災(zāi)害方面的研究工作.Emai1:haitao—qian@163.con212JournalofEngineeringGeology工程地質(zhì)學(xué)報(bào)2