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1、上海大學(xué)碩士學(xué)位論文非飽和土體固結(jié)性狀的研究姓名:羌銳申請(qǐng)學(xué)位級(jí)別:碩士專業(yè):巖土工程指導(dǎo)教師:秦愛芳20081201j:海大學(xué)碩上學(xué)位論文摘要本文依據(jù)Fredlund非飽和土的一維固結(jié)理論,由Fredlund液相及氣相的控制方程、Darcy定律及Fick定律,經(jīng)Laplace變換及Cayley—Hamilton定理構(gòu)造了頂面狀態(tài)向量2(0,s)與任意深度處狀態(tài)向量2(z,s)問的傳遞關(guān)系;通過引入邊界條件,得到-]'Laplace變換域內(nèi)的超孔隙水壓力和超孔隙氣壓力;采用Crump方法編制程序?qū)崿F(xiàn)Y"Laplace逆轉(zhuǎn)換得到了時(shí)間域內(nèi)的超孔隙水壓力和超孔
2、隙氣壓力半解析解;根據(jù)Fredlund及Conte定義的固結(jié)度,引用了典型算例,用得到的半解析解結(jié)果,分別計(jì)算了非飽和土在一維固結(jié)狀態(tài)下的液相平均固結(jié)度、氣相平均固結(jié)度和土體的總固結(jié)度。在工程應(yīng)用方面,這些結(jié)果對(duì)工程具有參考價(jià)值。在以上分析的基礎(chǔ)上,本人主要對(duì)以下三個(gè)方面進(jìn)行了研究和分析:1.在瞬時(shí)均布荷載作用下,對(duì)多種邊界條件下的非飽和土層一維固結(jié)進(jìn)行了半解析解求解;2.在指數(shù)荷載作用下,對(duì)多種邊界條件下的非飽和土層一維固結(jié)進(jìn)行了半解析解求解;3.在本文各章節(jié)中,將部分算例用有限差分法再演算一遍,并將求出的結(jié)果和采用本文半解析法得到的結(jié)果進(jìn)行對(duì)比,來證明
3、本文各章節(jié)的推導(dǎo)過程和結(jié)果是正確且可行的。關(guān)鍵詞:一維固結(jié);非飽和土;超孔隙水壓力:超孔隙氣壓力;固結(jié)度Vj:海大學(xué)碩士學(xué)位論文ABSTRACTThispaperdealswiththeone—dimensionalconsolidationofunsaturatedsoilsduetoallapplicationofextemalload.TheusedconsolidationtheoryistheconsolidationequationproposedbyFredlund.ByapplyingtheLaplacetransformandCayley
4、—Hamiltontheoremtotheliquidandvaporcontrolequations,Darcy’SlawandFick’Slaw,thetransferfunctionbetweenthestatevectorsx(0,s)attopandX(z,j)atanydepthisconstructed.Byintroducingtheboundaryconditions,theexcessporewaterpressureandexcessporeairpressurearederivedintheLaplacedomain.Byadopt
5、ingtheCrumpandDurbinmethod,theinversionofLaplacetransformisperformed,andthesemi—analyticalsolutionstotheexcessporewaterpressureandexcessporeairpressureareobtainedinthetimedomain.Theaveragedegreesofconsolidation,definedbyFredlundandCome,fortheairphase,waterphaseandsettlementarecalc
6、ulated.Inengineeringapplications,theseresultshavereferencevaluetotheproject.Inthebasisoftheaboveanalysis,Idosomeresearchonthefollowingthreeaspects:1.Intheroleofuniformlydistributedload,thesemi—analyticalsolutionstothenon.saturatedsoilunderone.dimensionalconsolidationaresolvedinava
7、rietyoftheboundaryconditions;2.Intheroleofindexload,thesemi—analyticalsolutionstothenon·-saturatedsoilunderone--dimensionalconsolidationaresolvedinavarietyoftheboundaryconditions;3.Inchaptersofthispaper,someexamplesarecalculatedagainbythefinitedifferencemethod,thenthecalculatedres
8、ultsarecomparedwithresultsofthese