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1、第32卷第9期巖土工程學(xué)報(bào)Vol.32No.92010年.9月ChineseJournalofGeotechnicalEngineeringSep.2010濱海相軟土應(yīng)力–應(yīng)變曲線復(fù)合指數(shù)–雙曲線模型1,2,33434王偉，宋新江，凌華，盧廷浩，周干武(1.紹興文理學(xué)院土木工程系，浙江紹興312000；2.中國科學(xué)院凍土工程國家重點(diǎn)實(shí)驗(yàn)室，甘肅蘭州730000；3.河海大學(xué)巖土工程科學(xué)研究所，江蘇南京210098；4.南京水利科學(xué)研究院巖土工程研究所，江蘇南京210024)摘要：濱海相軟土應(yīng)力–應(yīng)變曲線數(shù)學(xué)模型是巖土工程研究的一個(gè)重要課題。結(jié)合軟土應(yīng)力–應(yīng)變曲線的發(fā)展特點(diǎn)，
2、分析了其數(shù)學(xué)模型應(yīng)具有的基本性質(zhì)。對(duì)傳統(tǒng)雙曲線模型和指數(shù)模型進(jìn)行了數(shù)學(xué)分析，根據(jù)泰勒級(jí)數(shù)展開證明了兩模型的數(shù)學(xué)關(guān)系。引入應(yīng)力因子的概念，揭示了傳統(tǒng)應(yīng)力–應(yīng)變模型的缺陷。提出了一個(gè)應(yīng)力–應(yīng)變曲線的3參數(shù)復(fù)合雙曲線–指數(shù)模型，推導(dǎo)了改進(jìn)切線模量的表達(dá)式。數(shù)學(xué)分析表明，新模型克服了傳統(tǒng)模型的不足，傳統(tǒng)模型及其應(yīng)力因子均是新模型對(duì)應(yīng)的特例。結(jié)合實(shí)驗(yàn)數(shù)據(jù)，給出了模型參數(shù)的確定方法。新模型能夠很好的模擬試驗(yàn)數(shù)據(jù)。關(guān)鍵詞：軟土；應(yīng)變；應(yīng)力；復(fù)合模型中圖分類號(hào)：TU443文獻(xiàn)標(biāo)識(shí)碼：A文章編號(hào)：1000–4548(2010)09–1455–05作者簡介：王偉(1977-)，男，安徽太和人，
3、博士，副教授，主要從事土的基本性質(zhì)、土與結(jié)構(gòu)共同作用方面的教學(xué)與研究。E-mail:wellsking@tom.com。Compositeexponential-hyperbolicmodelforstress-straincurveofseashoresoftsoil1,2,33434WANGWei,SONGXin-jiang,LINGHua,LUTing-hao,ZHOUGan-wu(1.DepartmentofCivilEngineering,ShaoxingUniversity,Shaoxing312000,China;2.StateKeyLaboratoryofF
4、rozenSoilEngineering,ChineseAcademyofSciences,Lanzhou730000,China;3.GeotechnicalResearchInstitute,HohaiUniversity,Nanjing210098,China;4.DepartmentofGeotechnicalEngineering,NanjingHydraulicResearchInstitute,Nanjing210024,China)Abstract:Themathematicalmodelforstress-straincurveisanimportanti
5、ssuetostudythemechanicalbehaviorsofseashoresoftsoil.Basedonthepropertiesofdevelopingprocess,theprimarymathematicalbehaviorthatstress-strainmodelshouldfulfillisanalyzed.Mathematicalinvestigationontwoconventionalstress-strainmodels,namelyhyperbolicmodelandexponentialmodel,isconducted.Differe
6、ncebetweentheconventionalmodelsisremarkedbasedontheTaylorseriesexpansion,andstressindexisproposedandemployedtosignalizetheirshortcomings.Acompositeexponential-hyperbolicstress-strainmodelwiththreeparametersisestablished,andaformulafortheimprovedtangentmodulusisdeduced.Themathematicalanalys
7、isshowsthatmodelfunctionsandstressindexesoftheconventionalmodelsaresimplifiedexpressionsofthoseofthenewthree-parametermodel,respectively.Theproposedmodelabsolutelyovercomestheshortcomingsoftheconventionalmodels.Accordingtothetestdata,anapproachtodeterminethemo
