黏弹塑性普适组合模型和其工程应用

《黏弹塑性普适组合模型和其工程应用》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、第27卷第5期岩石力学与工程学报Vol.27No.52008年5月ChineseJournalofRockMechanicsandEngineeringMay，2008黏弹塑性普适组合模型及其工程应用陈炳瑞，冯夏庭(中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室，湖北武汉430071)摘要：用合适的流变模型描述岩石工程的流变特性是岩石流变研究的重要内容之一，而数值软件包含的流变模型不足，影响了流变本构模型在全局范围内识别的发展。为此，首先证明了在Maxwell体上并联n－1个Maxwell体的广义Maxwell模型和串联相同数目的Kelvin体的广义Burgers模

2、型是等效性，并提出了黏弹性模型等效的必要条件；从黏弹性等效原理出发，论证了广义Burgers模型的普适性，提出了黏弹塑性普适组合模型，进而推导了其有限差分方程。最后用紫红色黏土岩的室内试验数据证实了黏弹性组合模型等效性的存在，并用锦屏二级水电站辅助洞验证了黏弹塑性普适组合模型二次开发的可行性、正确性和普适性，为复杂材料流变模型辨识提供了一条新途径，为模型惟一性论证提供了依据。关键词：岩石力学；黏弹塑性；流变本构模型；黏弹性等效原理中图分类号：TU452文献标识码：A文章编号：1000–6915(2008)05–1028–08UNIVERSALVISCOELASTOPLASTI

3、CCOMBINATIONMODELANDITSENGINEERINGAPPLICATIONSCHENBingrui，FENGXiating(StateKeyLaboratoryofGeomechanicsandGeotechnicalEngineering，InstituteofRockandSoilMechanics，ChineseAcademyofSciences，Wuhan，Hubei430071，China)Abstract：Itisimportanttoselectpropermodeltosimulaterheologicalcharacteristicofroc

4、kinpracticalengineering.However，mostofnumericalsoftwareincludingsomebusinessprogramsusedwidelyonlyhaveseveralclassicrheologicalmodels，whichisnotenoughforidentificationofmodelsofcomplicatedrockmaterialandwillaffectdevelopmentofrecognitionofrheologicalconstitutivemodeltosomeextent.Tosolvethis

5、problem，auniversalviscoelastoplasticcombinationmodelisproposed.Firstly，theequivalenceofgeneralizedMaxwellbodyandgeneralizedBurgersbodyisproven.TheformeriscomposedofnparallelMaxwellcomponentsandthelatterisconstitutedbyoneMaxwellcomponentandn－1Kelvincomponentsinseries.Andthenecessarycondition

6、sofequivalenceforviscoelasticmodelsarealsoproposed.Secondly，theprocessoftranslationfromgeneralizedBurgersmodeltoothercombinedmodels，whichisbasedonviscoelasticprincipleofequivalence，isdescribedbycuttingdownoraddingelasticcomponentorvisco-component.TheuniversalityofgeneralizedBurgersmodelisve

7、rifiedanduniversalviscoelastoplasticmodelissuggested.Thenequationsoffinitedifferenceforuniversalviscoelastoplasticmodelarededucted，andthecodesoftheconstitutiveequationsare3DwritteninC++languagebasedonFLAC.Thenewmodel，whichisrequiredfordifferentrockmateri