有限元FEM分析方法.pdf

《有限元FEM分析方法.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、PriorityResearchCentreforGeotechnicalandMaterialsModellingUniversityofNewcastle,NSWAustraliaGuestLecture:IntroductiontoNon-linearFiniteElementAnalysesProf.GernotBeer,GrazUniversityofTechnology,AustriaTimeandvenue:ndLecturewillbeheldfrom12:30pmto2:00pminroomEF122startingfromTuesday2ofAugust.Objective

2、s:Afterattendingthecourse,participantshaveabasicunderstandingofthenon-linearbehaviourofstructuresandsolidsandsolutionalgorithmsmostcommonlyusedincommercialsoftware.Structure:Thecoursewillconsistofsevenlecturesof1.5hdurationeach,withtheoptionofexercises.Prerequisites:Basicknowledgeofmechanics;knowled

3、geoflinearfiniteelementprocedureswouldbeanadvantagebutnotnecessary,asashortintroductionisgiven.Material:Lecturenoteswillbeprovidedforeachlecture.AccesstoMATLAB(orsimilar)willberequiredfortheexercises.Contentsanddateoflectures:Tuesday2/8:Introductiontonon-linearbehaviour.Simple,onedegreeoffreedomexa

4、mplesthathaveclosedformsolutionsarepresentedfortheexplanationofgeometricandmaterialnon-linearity.Thursday4/8:Methodsforthenumericalsolutionofnon-linearproblems.Incremental,Newton-Raphson,modifiedNewton-Raphsonandarclengthmethodsareexplainedononedegreeoffreedomexamples.Monday8/8:Nonlinearfiniteelem

5、entprocedures.Proceduresareexplainedwithasimpletrusselement.Theuseofprincipleofvirtualworktoobtaintangentstiffnessmatrix,aswellassolutionproceduresforgeometricandmaterialnon-linearproblemswillbeexplainedonasimpleexample.Friday12/8:Geometricallynon-linearbehaviour.Discussionofvariousstressandstrainm

6、easuresusedingeometricalnon-linearanalysis(Greenstrain,2PiolaKirchhoffstressetc.);explanationoftotalandupdatedLagrangiandescriptionofmotion.Tuesday16/8:Introductiontocontinuumfiniteelements.Useofshapefunctionstoobtain(linearandtangent)stiffnessmatrix,Gaussintegrationandcomputationofinternalforces,a

7、ssemblyandsolution.PriorityResearchCentreforGeotechnicalandMaterialsModellingUniversityofNewcastle,NSWAustraliaThursday18/8:Non-linearmaterialbehaviour.Yieldconditions,elasto-plasticity,visco-plastic