一類橡膠材料的尖點(diǎn)及角點(diǎn)的大變形接觸問題.pdf

1、北方交通大學(xué)博士學(xué)位論文一類橡膠材料的尖點(diǎn)及角點(diǎn)的大變形接觸問題姓名：陳少華申請(qǐng)學(xué)位級(jí)別：博士專業(yè)：固體力學(xué)指導(dǎo)教師：高玉臣19990401摘要notch，anotheristhecontactofarigidwedgewitharubber—likenotchTheresultsshowthatfortheformer，thedomainnearthetipoftherubber—likewedgeconsistsofanunifor

2、msector，itdistributesevenly；TheasymptoticequationsarederivedandthenumericalresultsaregivenThesingularityofstressesatthetjpisrelatedwiththematerialconstantH、thewedgetipanglePandthenotchangledForthelatterproblem，thedomaino

3、fthetipoftherubber—likenotchcanbedividedintooneexpandingsectorandtWOshrinkingsectorsBeforedeformationtheexpandingsectorlaidonanarrowdomaininthemiddleofnotchangle，whilethetwoshrinkingsectorsalmostoccupythewholedomainAfter

4、deformation，theexpandingsectoralmostoccupiesthewholedomain，whilethetwoshrinkingsectorsshrinkintotwonarrowingdomainnearthecontactboundaries、Theanalyticalsolutionisobtainedfortheexpandingsector，andtheasymptoticequationsasw

5、ellasthenumericalresultsareobtainedfortheshrinkingsectorsThesingularityofstressesatthetipofnotchisrelatedonlywiththematerialconstant，，andtheangle，oftherigidwedge，thestresssingularityofdominanttermsinexpandingsectorandshr

6、inkingsectorsarethesamethatisf～r一2”Abovetwocontactproblemspossessdifferentfeature80thatmustbesolvedseparatelyThenon—linearTLprogramoffiniteelementmethodismadeandusedtocalculatetheabovetwoproblemsThecalculatingresultsarec

7、onsistentwellwiththeanalysisresultsBesides，someundeterminedparametersinasymptoticanalysiscallbedeterminedfromthecomparisonofthecalculationwiththeanalysisKeywords：rubber—likematerial，finitedeformation，wedge，notchasymptoti