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1、InternationalJournalofMechanicsResearch力学研究,2014,3,23-32PublishedOnlineSeptember2014inHans.http://www.hanspub.org/journal/ijmhttp://dx.doi.org/10.12677/ijm.2014.33003StudyontheRockStatisticalDamageConstitutiveModelLianshengTang1,HaitaoSang2,3*,JingSong1,Zhen
2、guiLuo1,HaokunChen11SchoolofEarthSciencesandGeologicalEngineering,SunYat-SenUniversity,Guangzhou2SchoolofEngineering,SunYat-senUniversity,Guangzhou3GuangdongProvinceKeyLaboratoryofGeologicalProcessesandMineralResources,Guangzhou*Email:eestls@mail.sysu.edu.cn
3、,772192033@qq.comthththReceived:Jun.14,2014;revised:Jul.15,2014;accepted:Jul.20,2014Copyright©2014byauthorsandHansPublishersInc.ThisworkislicensedundertheCreativeCommonsAttributionInternationalLicense(CCBY).http://creativecommons.org/licenses/by/4.0/Abstract
4、Toestablisharockstatisticaldamageconstitutivemodeltakingthedefectssuchastherockmi-cro-cracksandthecharacteristicsoftheirrandomdistributionintoaccount,thevitalstepsaretoselectamethodscientificallytomeasuretherockmicro-strength,whichiscapableofreflectingitsdam
5、ageconditions;aswellasthepatternofrandomlydistributeddamageinrockandthedeter-minationofthemodelparameters.Firstly,adamageconstitutiveequationforrockunderthreedimensionalstressconditionsisestablished,intermsoftheLemaitre’shypothesisofstrainequi-valence;thendi
6、scussionsarepresentedindetailtoaddressthefrequentlyemployedrockstrengthcriterionssuchasM-Cstrengthcriterionandtherockmicro-elementstrengthprobabilitymodelssuchasWeibullprobabilitydistribution.BasedontheH-Bcriteriaandthepowerfunctiondistribution,astatisticald
7、amageconstitutivemodelforrockisproposed,andthemethodofde-terminationfortherelativemodelparametersissuggested;Furthermore,acasestudyisintro-ducedtotestifythevalidityoftheconstitutivemodelandthemethodtoobtaintheparameterswhichareproposedinthispaper;atlast,sugg
8、estionsonthefurtherresearchanditsmethodareaddressed.KeywordsRock,StrengthCriterion,StatisticDamage,ConstitutiveModel岩石损伤统计本构模型研究*通讯作者。23岩石损伤统计本构模型研究12,3*111汤连生，桑海涛，宋晶，罗珍贵，陈浩昆1中山大学地球科学与地质工程学院，广州2
