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    COMPUTATIONALPLASTICITYFundamentalsand Applications

    Edited by:D. R. J. OW ENDepartment of Civil Engineering, University of Wales, Swansea, U.K.E. ONATEUnivers i tat Pol i tecnica de Cata lunya , Spa in

    Proceedings of the Fourth International Conferenceheld in Barcelona, Spain,3rd-6th, April, 1995

    PINERIDGE PRESSSwansea, U.K.In co-operation with Centra Internacional De Metodos NumericosEn Ingenieria, Barcelona, Spain

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    PREFACEIN MEMORIAM

    CONTENTS

    PARTISECTION I CONSTITUTIVE AND ALGORITHMIC DEVELOPMENTS1. G. MAIER, S. MICCOLI, G. NOVATI and S. SIRTORI 1Symmetric Galerkin Boundary E lement M ethod in Plasticity2. M. KLEIBERandPKOW ALCZYK 25Constitutive Parameter Sensivity of Inelastic Response3. W. B. KRATZIG and U. MONTAG *5On a New Class of Return-Algorithms based on Nonlinear Optimization Methods4. L. E.VAZ, E. HINTON and J. SIENZ 57Formulations for the Shape Optimization Considering Material Nonlinear Behaviour5. G.ROMANO and G. ALFANO 71Variational Principles, Approximations and Discrete Formulations in Plasticity

    6. M. KUSSNER, P. WRIGGERS, L. BERNSPANG and A. SAMUELSSON 83Mixed Methods in Finite Element Plasticity7. T. ROJC 95On a mixed approach to the finite element solution of large strain elastoplasticproblems8. A IBRAHIMBEGOVIC 107Computational Issues of the Finite Deformation Elastoplasticity in a Manifold9. C. M1EHE 119Algorithmic Formulations of Large-Strain R ate- Independent M ultisurface Thermo-plasticily.10. B. E. MELNIKOV and A. S. SEMENOV 133Multimodel Analysis as Strategy of Reliable Description of Elastic-Plastic DeformationProcesses11. M. BRUNIG, H. OBRECHT and L. SPEIER 141Finite Deformation Elastic-Plastic Analysis Based on a P lastic Predictor M ethod12. F. M.De SCIARRA and L. ROSATI 153A Unified Formulation of Elastoplastic M odels by an Internal Variable Approach13. M.KOJIC 165On The Implicit Stress Integration of Viscoplastic Constitutive Relations by theGoverning Parameter Method (GPM)

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    14. C.POLIZZOTTO and G. BORINO 177Large-Displacement Melan-Type Shakedown Theorem for Generalized StandardPlastic Materials15. J.OR KlS Zand M . PAZDANOWSKI 189Analysis of Residual Stresses by the G eneralised Finite Difference Method16. D.GA NEN DRA andD.M. POTTS 201Application of the Fourier Series Aided Finite Element M ethod to Elasto-PlasticProblems17. M.PAPADRAKAKIS, V. PAPADOPOULOS a nd N. D. LAGAROS 213Reliability Analysis of Elastic-Plastic Structures using Neural Networks18. S. W. SLOAN and A. I ABBO 225An Elastoplastic Load Incrementation Strategy19. A. MILLARD 237Num erical Algorithms for Plane Stress Elastoplasticity: Review and Recommendation20. M. KO JIC, D. BEGOVIC and N. GRUJOVIC 249A Com putational Procedure for Implicit Stress Integration of Anisotropic Therm o-plastic and/or Anisotropic Creep C onstitutive Relations of Metals21. J. PLESEK 261

    On The Associated and Nonassociated Flow RulesSECTION 2 ELEMENT TECHNOLOGY22. E. N. DVORK1N 273

    MITC Elements for Finite S train Elasto-Plastic A nalysis23. M. A. CRISFIELD, G. F. MO ITA, G. JELENIC and L. P. R. LYONS 293Enhanced Lower-Order Element Formulations for Large Strains24. K. ARUNAKIR1NATHAR and B. D. REDDY 321

    Enhanced Strain Finite Element Methods25. M. SCHONAUER, E. A. de SOUZA NETO and D. R. J. OWEN 333Hencky Tensor Based Enhanced Large Strain Element for Elasto-Plastic Analysis26. E. N. DVORKIN, M. A.CAVALIERE and M. B. GOLDSCHM IT 349A Three Field Element Via Augmented Lagrangian for Modelling IncompressibleViscoplastic Flows27. E. A.de SOUZA NETO, D. PERIC, G. C. HUANG and D. R. J. OWEN 361

    Remarks on the Stability of Enhanced Strain Elements in Finite Elasticity andElastoplasticityS EC TIO N 3 A D A P TIV E MES H R EF IN EMEN T S T R A T EG IES28. L. GALLIMARD, P. LADEVEZE and J-P. PELLE 373A Posteriori Error Estimator for N on-Linear FE Computations: A pplicationto Elastoplasticity

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    29. P. BUSSY and Y. MOSBAH 383Optimization of Finite Element Calculations in Non-Linear Geometry30. L. FOURMENT, M. P. MILES, F. BAY, D. CARPENTIER and J. L. CHENOT 395Adaptive Strategies for the Simulation of 2D and 3 D Forming Processes31. M. L. MADUREIRA, L. C. SOUS A and J. CESAR DE SA 407Adaptive mesh Refinement Procedures in the S imulation of Forg ing Problems32. M. S. JOUN, S. R. YOO and S. M. HWANG 419Application of a New Guide Grid Mesh G eneration Technique to A utomaticFinite Element Simulation of Plastic Deformation in F orging33. S. KAVAKLI and A. E. TEKKAYA 431Automatic Hexahedral Mesh Generation for the Simulation of MetalForming Processes34. L. Y. LI, P. BETTESS, I. APPLEGARTH, J. W. BULL and T. J. BOND 443A New Mesh Refinement Formulation for h-Adaptive F inite Element ComputationsS EC TIO N 4 S TR A IN LO C A LIS A TIO N A N D IN S TA BILITY P H EN O MEN A35. J.OLIVER 455Continuum Modelling of Strong Discontinuities in Solid Mechanics36. E.STEIN, P. STEINMANN and C. MEIHE 481

    Computational M odelling of Instability Phenomena in Plasticity37. R. de BORST, J. PAMIN and L. J. SLUYS 509Gradient Plasticity for Localization Problems in Quasi-Brittle and FrictionalMaterials38. C. COM! and U. PEREGO 535A Regularization Technique for Elastoplastic Softening Analyses Basedon Generalized Variables39. F. ARMERO and K. GARIKIPATI 547Recent Advances in the Analysis and Num erical Simulation of StrainLocalization in Inelastic Solids40. L. J. SLUYS, M. ORTIZ and A. NEEDLEMAN 563Regularization by Nonlocal Dislocation Effects in Crystalline Plasticity41. P. STEINMANN and E. STEIN 575Numerical A nalysis of Localization Phenomena in Single Crystal Plasticity42. L. BODE, G. PIJAUDER-CABOT and A. HUERTA 587ALE Finite Element Analysis of Strain Localisation - Consistent ComputationalStrategy and Remeshing Issues43 . R. LARSSON, K. RUNESSON and M. AKESSON 599Embedded Localization Band Based on Regu larized Strong Discontinuity

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    44. M-M. IORDACHE, K. WILLAM and I. CAROL 611Failure Modes of Plastic Degradation Processes in Cosserat C ontinua45. E. RIZZI, K. WILLAM and I. CAROL 623Strain Localization for Constitutive Models Combining Plasticity withElastic Degradation46. R. CHARLIER and J. PIERRY 635Detection and M odelling of the Shear Band Localisation47. H. PETR YK andK . THERMANN 647On Plastic Strain Localisation in the Non-Elliptic Range U nder Plane Stress48. M. KOWALCZYK and Z. MROZ 659Post-critical States in Thin Sheets with Localised and Diffuse Plastic Zones.49. M. PASTOR and M. QUECEDO 671A Patch Test for Mesh A lignment Effects in Localized Failure50. M. PASTOR, O. C. ZIENKIEWICZ, J. P. VILOTTE, M. QUECEDO , P. MIRA, 683

    C.RUBIO and M.HUANGMesh-Dependence Problems in Viscoplastic M aterials under Q uasi-Static Loading51. Z. REN and N. BICANIC 695

    Removal of Finite Elements in T ransient Dynamic Problems with LocalisationSECTION 5 INVERSE ME THO DS FOR PLASTICITY AN D LAR GE STRAINS52 . J. L. BATOZ, Y. Q. GUO and F. MERCIER 707

    Accounting for Bending Effects in Sheet Metal Forming Using T he Inverse Approach53 . A. M. MANIATTY and M-F. CHEN 719Shape Optimization for Steady Forming Processes54. Y. Y. ZHU and S. CESCOTTO 731Identification of an Elastic-Plastic-Damage Model for Ductile Fracture Initiation

    in Aluminium55. P. PICART, L. LAZZAROTTO an d J.OUDIN 743Sensitivity of Material Param eters in a Finite Element Modelisation of MicrovoidNuclcation, Growth and Coalescence for Elasto-Plastic Structures56. A GAVRUS, E. MASSON1 and J. L. CHENOT 755Computer Aided Rheology for Constitutive Parameter Identification57. J-C.GELINandO . GHOUATI 767

    Inverse Identification Methods for Material Parameters Estimation in LargePlastic Deformations58. T. RODIC, I. GRESOVNIK and D. R. J. OWEN 779Application of Error Minimisation Concept to Estimation of H ardeningParameters in the Tension Test

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    S EC TIO N 6 C O N TA C T P R O BL EMS W ITH F R IC TIO N59. P. WRIGGERS and O. SCHERF 787Adaptive Finite Element M ethods for Contact Problems in Plasticity60. M. ULBIN, Z. REN and J. FLASKER 809

    Object Oriented Programming of Contact Problems Using the Finite Element Method61. J. RON DA,Z. M RO Z.an dK . W. COLVILLE 817Influence of Rotational Effects on the Frictional Contact Problem in Deep Draw ing62 . A. MUNJ1ZA, D. R. J. OWEN and A. J. L. CROOK 829Energy and Momentum Preserving C ontact Algorithm for G eneral 2D and 3 DContact Problems63 . S. M. ALEINIKOV 841

    Numerical Algorithms for Solution of Boundary Integral Equations in ThreeDimensional Contact Problems for Elasto-Plastic Deformable Half-SpaceS EC TIO N 7 M A TER IA L MO D ELLIN G64 . P. R. DAWSON and A. KUMAR 853Polycrystal Modeling with Finite Elements Over O rientation Space65 . F.BARLAT,Y. MAEDA, M. YANAGA WA, K. CHUNG, J. C. BREM , 879Y. HAYASH1DA, D. J. LEGE, K. MATSUI, S. J. MURTHA and S. HATTORI

    Yielding Description of Solution Strengthened Aluminium Alloys66. M. PIETRZYK and J. E. TIBBALLS 889Application of the Finite Element Technique to the Interpretation of the Plane-StrainCompression Test for Aluminum67. C. POLIZZOTTO and P. FUSCHI 901Internal-Variable Elastic-Plastic Material Model with Hardening Saturation Surface68 . J. BETTEN and A. ZOLOCHEVSKY 913Theory of Plasticity for Isotropic Materials Including Second Order Effects69. O.COUSSY and F. J. ULM 925Creep and Plasticity due to Chemo-Mechanical Couplings.70. M. KALISKE and H. ROTHERT 945Internal M aterial Friction of Rubber Modelled by a Multiplicative Elasto-PlasticApproach71 . V. A. PALMOV 957Verification of Mathematical Models of Plasticity and Visco-Plasticity by Meansof Non-Linear Thermodynamics

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    S EC TIO N 8 P LA S TIC F R A C T U R E A N D F A TIG U E72 . V. TVERGAARD and A. NEEDLEMAN 963Nonlocal Effects in Ductile Fracture by Cavitation Between Larger Voids73 . R. H. PEERLINGS, R. de BORST, W. A. M. BREKELMANS and J. H. P. DE VREE 975Computational M odelling of Gradient-Enhanced D amage for Fracture andFatigue Problems74. S. CESCOTTO and Y. Y. ZHU 987Modelling of Ductile Fracture Initiation During Bulk Forming75. V. M. A. LEITAO, M. H. A LIABADI an d D. P. ROOKE 999Elastoplastic Simulation of Crack Growth using a Boundary Element Formulation76. S. GLOD EZ. J. FLASKER, Z. REN and S. PEHAN 1011

    Three-Dimensional Numerical Analysis of Crack Propagation in a Gear Tooth Root77. A. V. DYSKIN and L. N. GERMANOVICH 1021Multiscale Approach to Modelling Crack-Microcrack Interaction78. D. A..GOKH FELD, V. B. POROSHIN and O. S. SADAKOV 1033On LCF Lifetime Prediction in the Case of Stress Concentration ZoneS EC TIO N 9 D A M A G E MEC H A N IC S79. S. FICHANT, G. PIJAUDER-CABOT and C. LA BORDERIE 1045Continuum Damage Modelling with Crack Induced Anisotropy80. O. ALLIX, L. DAUD EVILLE, J. L. NEAU and P. LADEVEZE 1057Necessity of using D amage M echanics for the Analysis of Delam ination Specimens81. G. LASCHET 1069Coupled Elastoplastic Damage Models for the Strength Prediction of Adhesive Joints82. A. M. HABR AKEN .Y. Y. ZHU, R. CHARLIER and X. C WANG 1083A Damage Model for Elasto-Visco-Plastic Materials at Large Strains83 . C. KONKE 1095A Common Model to Simulate Micro- and Macro-Damage Effects in DuctileMetal Materials84 . I.DOGHRI 1107Finite Element Implementation of a Class of Metal Plasticity M odels Coupledwith Ductile Damage85 . R. LAPOVOK 1119A Damage M echanics A pproach to Fatigue Fracture of Tools in Metal W orkingProcesses86. B. KOUBAA, E. PAPA and A. NAPPI 1131Local Damage Models Suitable for Preventing M esh-Dependence Effects

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    87. Y. I. NYASHIN and O. R. ILIALOV 1143Optimization of Residual Stresses Tak ing into Account the Material D amage88. J. CACKO 1155A Numerical Algorithm for a Damage Mechanics InvestigationS EC TIO N 1 0 MO D ELLIN G O F C O M P O S ITES89. M.KONIGandR.KRUGER 1167Computation of Energy Release Rates: A Tool for Predicting DelaminationGrowth in Carbon Fibre Reinforced Epoxy Laminates90. A. CORIGLIANO and G. BOLZON 1179Numerical Simulation of Debonding Phenomena in Composite Materials91 . W. WAGNER and F. GRUTTMANN 1191

    A Computational Model for the D elamination Analysis of Com posite Shells92. F.HASHAGEN , J. C. J. SCHELLEKEN S, R. de BORST and H. PARISCH 1203The M odelling of Fibre Metal Laminates by Thick Shell Elements93 . S.W EIH Eand B. KROPLIN 1215The Fictitious Crack Concept in the Mechanics of Composites94 . S. B. SAPOZHNIKOV and O. S. BUSLAEVA 1227A Prediction of Fracture Load of Fiber Reinforced Plastic with Arbitrary Concentrator

    under Tension95 . S. MA KSIMOVIC, M. KOJIC, N. GRUJOVIC, R. SLAVKOVIC and M. ZIVKOVIC 1235Geometric and Material Initial Failure of Layered Fiber Reinforced CompositeStructures: Numerical and Experimental Study96. T. LACROIX and R.KEUN1NGS 1245Finite Element M odeling of the Mechanical Load Transfer at the Fibre/Matrix InterfaceIncluding Interfacial Friction an d Non-Linear Behaviour of the Matrix97 . P. B. LOURENCO and J. G. ROTS 1257An E lastoplastic Algorithm for the Homogenisation of Layered Media98 . H. D. ESPINOSA and G. EMORE 1269Dynam ic Inelasticity of Polymer-Matrix Composites with Continuous F ibers99. A.BENNASAR and F. P. E. DUNNE 1283Void Nucleation and Growth in Particle Filled Elasto-Viscoplastically DeformingPolymer Film100. F.DUBOIS and R.KEUNINGS 1293Non-Linear Micro-Macro Numerical Analysis of DCB Testing of ThermoplasticComposites101. A. I. BOROVKOV and A. S.SEMENOV 1305Thermo-Elasto-Plastic F inite Element Analysis of Com posite Structures underNonstationary High-temperature Loading