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1、第26卷第7期巖石力學(xué)與工程學(xué)報Vol.26No.72007年7月ChineseJournalofRockMechanicsandEngineeringJuly,2007壓縮試驗本構(gòu)關(guān)系的大變形表述法1,21,231,21,2丁洲祥,朱合華,龔曉南,蔡永昌,丁文其(1.同濟(jì)大學(xué)巖土及地下工程教育部重點實驗室,上海200092;2.同濟(jì)大學(xué)地下建筑與工程系,上海200092;3.浙江大學(xué)巖土工程研究所,浙江杭州310027)摘要:基于連續(xù)介質(zhì)力學(xué)有限變形理論,采用完全拉格朗日描述法導(dǎo)出壓縮試驗本構(gòu)關(guān)系的大變形法表述形式。首先根據(jù)壓縮試驗特
2、點建立大、小變形法應(yīng)力張量和應(yīng)變張量之間的轉(zhuǎn)換式,得到一般意義上的大變形法壓縮本構(gòu)關(guān)系。然后在小變形法雙曲線模型基礎(chǔ)上,得到其對應(yīng)的大變形法本構(gòu)方程,并提出簡化形式的大變形法雙曲線模型。工程實例和參數(shù)分析的結(jié)果均表明,大變形法雙曲線模型可較好地模擬土體的大變形壓縮試驗本構(gòu)關(guān)系。大、小變形法的雙曲線參數(shù)在定義和數(shù)值上均不相同,但兩者服從一定的變化規(guī)律。關(guān)鍵詞:土力學(xué);壓縮試驗;本構(gòu)關(guān)系;大變形理論;雙曲線模型;割線模量法中圖分類號:TU411文獻(xiàn)標(biāo)識碼:A文章編號:1000–6915(2007)07–1356–09LARGE-DEFORM
3、ATIONDESCRIPTIONMETHODFORCONSTITUTIVERELATIONBASEDONCOMPRESSIONTEST1,21,231,21,2DINGZhouxiang,ZHUHehua,GONGXiaonan,CAIYongchang,DINGWenqi(1.KeyLaboratoryofGeotechnicalandUndergroundEngineering,MinistryofEducation,TongjiUniversity,Shanghai200092,China;2.DepartmentofGeotec
4、hnicalEngineering,TongjiUniversity,Shanghai200092,China;3.InstituteofGeotechnicalEngineering,ZhejiangUniversity,Hangzhou,Zhejiang310027,China)Abstract:Basedonthelarge-deformationtheoryofcontinuummechanics,anovelmethodfordescribingthelarge-deformationconstitutiverelations
5、ofgeomaterialsbasedoncompressiontestwasproposedusingtotalLagrangiandescriptiontechnique.Accordingtothecharacteristicsofcompressiontest,thetransformationformulaeofstresstensorsandstraintensorsbetweenthelarge-deformationmethodandthecorrespondingsmall-deformationmethodweref
6、irstlyderived;andthelarge-deformationconstitutiverelation(LDCR)ofcompressionwaspresentedwithageneralmeaning.ThentheLDCRequationforthecaseofasmall-deformationhyperbolicmodel,aswellasitscorrespondingsimplifiedlarge-deformationhyperbolicmodel,areobtained.Theresultsofcasestu
7、diesandaparametricanalysisshowthattheproposedlarge-deformationhyperbolicmodelcanwellsimulatetheconstitutive-relationsofgeomaterialsunderthelarge-deformationcompressioncondition.Fromtheviewpointofboththephysicaldefinitionandthenumericalmagnitude,theparametersofhyperbolicm
8、odelsforthelarge-deformationmethodandthesmall-deformationmethodaredifferentbutregularlyobeyacertainfunc