非线性有限元法(11)

9Contactwithfriction本章参考书MACrisfield.Non-linearFiniteElementAnalysisofSolidsandStructures:Vol.2AdancedTopics,Chapter23,JohnWileyandSons,199710Contactwithfriction10.1INTRODUCTION10Contactwithfriction10Contactwithfriction10Contactwithfriction10.1ATWO-DIMENSIONALFRICTIONLESSCONTACTFORMULATIONUSINGAPENALTYAPPROACH10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10.2.1Somemodifications10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10.3INTRODUCING‘STICKINGFRICTION’INTWODIMENSION10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10.4INTRODUCINGCOULOMB‘SLIDINGFRICTION’INTWODIMENSIONS10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10ContactwithfrictionFigureTheforward-Eulerandbackward-Eulerprocedure10Contactwithfriction10Contactwithfriction10.5USINGLAGRANGIANMULTIPLIERSINSTEADOFTHEPENALTYAPPROACH10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10.6THEAUGMENTEDLAGRANGIANMETHODS10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10Contactwithfriction10.7ANAUGMENTEDLAGRANGIANTECHNIQUEWITHCOULOMB‘SLIDINGFRICTION’10Contactwithfriction10Contactwithfriction10.8Asymmetrisedversion10Contactwithfriction10Contactwithfriction