geo5_fem_theoretical_guide

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1、GEOFEM-TheoreticalmanualwrittenbyMichalSejnohaˇAcomputerprogramfornonlinearfiniteelementanalysisofgeotechnicalproblemsFINELtd.1999–2009February9,2009Contents1FiniteElementEquations11.1Kinematicsdiscretization............................21.2Governingequations..............................31.3Fin

2、iteelementsusedinGEOFEMprogram.................41.3.12-noderodelement...........................41.3.22-nodeand3-nodebeamelements...................61.3.3Plane3-nodeand6-nodetriangularelements.............111.3.44-nodeand6-nodeinterfaceelements.................172Basicconstitutivemodelsforsoil

3、s222.1Elasticconstitutivemodelforsoils.......................222.2Modifiedelasticconstitutivemodelforsoils..................232.3Basicelasto-plasticconstitutivemodelsforsoils...............232.3.1Invariants................................242.3.2Yieldsurface..............................252.3.3E

4、lasto-plasticstiffnessmatrix.....................272.3.4Drucker-Pragermodel.........................302.3.5ModifiedMohr-Coulombmodel....................362.3.6ImplicitstresspointalgorithmforDPandMMCmodels......392.3.7Mohr-Coulombmodel.........................442.3.8Mohr-Coulombmodelwithtensioncu

5、t-off..............592.4Interfaceconstitutivemodel..........................612.4.1Yieldsurfaceandstressupdateprocedure..............612.4.2Tangentstiffnessmatrix........................633Criticalstatemodelsforsoils653.1ModifiedCamclaymodel...........................653.2GeneralizedCamclaymodel.

6、.........................693.3Numericalintegration-stressupdateprocedure...............703.3.1ModifiedCamclaymodel.......................713.3.2GeneralizedCamclaymodel......................743.3.3Noteonnumericalimplementation..................773.3.4Noteondeterminationofparametersκandλ.........

7、...78iiiCONTENTS4Constitutivemodelsforstructuralelements814.1Groutanchors..................................824.2Geo-reinforcements...............................844.3Props......................................845Modelingofgroundwaterflow