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1、上海交通大學(xué)碩士學(xué)位論文含SMA復(fù)合材料層合板的彎曲和熱后屈曲分析姓名：劉俊申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：固體力學(xué)指導(dǎo)教師：孫國(guó)鈞20060201上海交通大學(xué)碩士學(xué)位論文摘要摘要現(xiàn)對(duì)板的彎曲變形控制。熱后屈曲問題研究了在均勻熱場(chǎng)作用下的含SMA復(fù)合材料層合板的熱后屈曲行為。采用Shen和Lin提出的攝動(dòng)-Galerkin混合法，得到了其熱后屈曲平衡路徑。應(yīng)用熱后屈曲平衡路徑公式，通過計(jì)算分析了SMA鋪設(shè)方向、SMA鋪設(shè)方式、層合板疊層順序?qū)Π宓臒岷笄袨榈挠绊?。分析表明，SMA絲能夠有效實(shí)現(xiàn)對(duì)板的熱屈曲臨界溫度和熱后屈曲變形控制。關(guān)鍵詞：形狀記憶
2、合金，恢復(fù)力線性化模型，復(fù)合材料板，彎曲，熱后屈曲II上海交通大學(xué)碩士學(xué)位論文摘要ABSTRACTTHEANALYSISOFDEFLECTIONANDTHERMALPOST-BUCKLINGOFCOMPOSITELAMINATEDPLATESEMBEDDEDWITHSMAWIRESABSTRACTEmployingtheoreticalanalysisandincorporatingwithnumericalcomputation,deflectionandthermalpost-bucklingofcompositelaminatedpla
3、tesembeddedwithshapememoryalloy(SMA)wiresareanalyzed.AndhowtouseshaperecoverystressofrestrainedSMAwirestocontrolthebendingdeflection,criticalthermalbucklingtemperatureandpost-bucklingdeformationoftheplatesismainlydiscussed.Firstly,Brinson’sone-dimensionalconstitutivemodelfo
4、rSMAisgiven.Basedonhisconstitutivemodel,arecoveryforcelinearconstitutivemodelisproposedforfullyrestrainedSMAwire.UsingBrinson’snonlinearmodelandtherecoveryforcelinearmodelrespectivelytocalculatetherecoverystressofSMAandplotcorrespondingstress-temperaturerelationgraphs,twoII
5、I上海交通大學(xué)碩士學(xué)位論文摘要ABSTRACTresultsarecompared.Thelittledifferencebetweenthetworesultsprovesthattherecoveryforcelinearmodelhasnotonlysimplicitybutalsohighprecision.Secondly,basedonmicromechanicallawofcompositematerialsandBrioson’sone-dimensionalconstitutivemodel,aconstitutiverel
6、ationforcompositelaminatedplatesembeddedwithSMAwiresisderived.Finally,deflectionandthermalpost-bucklingofcompositelaminatedplatesembeddedwithSMAwiresareanalyzedrespectively.Small-deflectionbendingofcompositelaminatedplatesembeddedwithSMAwiressubjectedtocombinedmechanicalloa
7、danduniformtemperatureloadingisfirstanalyzed.UsingLevy’smethod，small-deflectionbendingdeflectionexpressionoftheplatesisderived.Thenbyusingtheexpression,theeffectsofvariousfactorsonthebendingdeflectionoftheplatesareanalyzed,whichincludevolumefractionofSMA,initialstrainofSMA,
8、andSMAembeddingtheplatessubjectedtodifferentamountoftransverseload.Thebendingdefle
