軸對(duì)稱問(wèn)題雜交應(yīng)力有限元方法研究.pdf

1、四川大學(xué)碩士學(xué)位論文軸對(duì)稱問(wèn)題雜交應(yīng)力有限元方法研究姓名：陳三平申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)教師：謝小平20050321t登壘莖蘭堡蘭堂燕燕蘭Theresearchofaxisymmetricsolidelementswithhybridstressfiniteelementmethods醒司of：ComputationalMathematicsGraduateChenSan—pingAdvisorXieXiao—pingAbs

2、tract：A4nodeaxisymmetricsolidelementisderivedbycombinedhybridmethodsinthispaperatfirst喇懈combinedhybridfmiteelementmethodisofanintrinsicmechanismofenhancingcoarsemeshaccuracyoflowerorderdisplacementschemesItiscon娃№dtlm壤纛o

3、ombinedhybridschemewithoutenergyerrorleadstoenhancemeatofmyatcoarsemeshes，andthatthecombinationparametera(ot鍾母蟄pl幫$鐮importantroleintheenhancementInthispapercompatibleisoparametricbilineardisplacementapproximationsandthec

4、onstantstressmodeareemployedByadjustingthecombinedparameteratheoptimizedversionofthecombinedhy嘛delementwasobtainedNumericalexperimentsindicatethattheelementisofgoodaccuracyDuet。eliminationofstressparametersattheelemental

5、level，thiscombinedhybridversionisofthesanlecomputationalcostatthatof4nodecompatibleisoparametricbilineardisplacementselement，ThismethodallowsUSeofthesimpleststressmode，ie。thepiecewiseconstantstressmode，asavoidsthedifficu

6、ltyofstressdesignAnewfour—nodeaxisymmetricelementsarederivedbasedontheHellinger—ReissneFvariationalprinciple。AftertheenergycompatibilityconditionisappliedtothelinearstresswithWilson’Sbubble，ahybridschemeusingeightparamet