COMPUTATIONAL PLASTICITYFundamentals and Applications

Proceedings of the Eighth InternationalConference on Computational Plasticityheld in Barcelona, Spain5th-7th September 2005

PartiEdited by:

D.R.J. OwenUniversity of WalesSwansea, U.K.

E. OnateUniversitat Politecnica de CatalunyaBarcelona, Spain

B. SuarezUniversitat Politecnica de CatalunyaBarcelona, Spain

A publication of:

B A R C E L O N A

CONTENTS

PLENARY LECTURES

Assessment of Protection Systems for Gravel-Buried PipelinesConsidering Impact and Recurrent Shear Loading Caused byThermal Deformations of the Pipe6. Pichler, C. Hellmich, S. Scheiner, J. Eberhardstelner and H.A. Mang 35

Characterization of Materials with Microheterogeneous StructureP. Wriggers, S. Loehnert and M. Main 39

Dispersion and Localisation in a Strain-softening MultiphaseMediumR. de Borst and M.A. Abellan 43

Elastoplastic Modelling of Hard Soils and Soft Rocks: Formulationand ApplicationA. Gens, J. Vaunat and B. Garitte 47

Four-Scale Bridging for the Non Linear Analysis of CompositesIncluding Continuum to Discrete LinkageB.A. Schrefler, D.P. Boso and M. Lefik 51

Modelling of Metal Forming Processes and Multi-Physic CouplingJ.-L Chenot and F. Bay 55

Multiscale Modeling of Materials: Linking Microstructure andMacroscopic BehaviorM. Ortiz 59

New Developments in Surface-to-Surface Discretization Strategiesfor Analysis of Interface MechanicsT. Laursen and B. Yang 61

Node Based Finite Element Method with High PerformanceElements: The Local Element MethodG. Yagawa and H. Matsubara 64

Numerical Modeling of Transient Impact Processes with LargeDeformations and Nonlinear Material BehaviorE. Ramm, T. Erhart and W. Wall 68

Numerical Studies of Failure in Ductile MaterialsV, Tvergaard 72

On a Theoretical and Computational Framework for Large StrainAnisotropic PlasticityF.J. Montans and K-J. Bathe 76

On Macro- and Multiscale-Approaches to Anisotropic FinitePlasticityC.Miehe 80

On Particle Finite Element Methods in Solid Mechanics ProblemsJ. Oliver, J.C. Cante and C. Gonzalez 82

Plastic Deformation and Instability in Discrete Granular Materials withSpatially Varying DensityR.I. Borja and J.E. Andrade 86

Theory and Computation of Quasiplastic and Superelastic MartensiticPhase Transformations£. Stein and O. Zwickert 90

Toward the Damage Analysis of Laminated Composites on the Microscaleof Laminated CompositesP. Ladeveze, G. Lubinau and D. Violeau 94

INVITED SESSIONS I

COMPUTATIONAL GEOMECHANICS INCLUDING ENVIRONMENTALAPPLICATIONS

Invited Session organized by Bernard Schrefler and Lorenzo Sanavia

A Discontinuous Galerkin Method for the Dynamic Analysis of Fully-saturated Porous MediaZ. Chen, H. Steeb and S. Diebels 101

Constitutive Model and Strain Localization Issue in Elastoplastic SaturatedPorous MediaX. Liu and A. Scarpas 105

Finite Element Simulation of Chemo-Mechanical Coupling in BondedGeomaterialsJ.A. Fernandez-Merodo, R. Castellanza, M. Pastor and R. Nova 109

Implicit Integration Algorithm for Numerical Solution of Partially SaturatedSoils with an Enhanced Generalized Plasticity Constitutive ModelH.W. Zhang, R. Santagiuliana and B.A. Schrefler 111

Microscale Fracturing of Crystalline Rock under Homogenized StrongDiscontinuity and Water TransportY. Ichikawa, S.-S Liu, J.-H Choi, FA. Anwar and E. Yoshida 115

Modeling of Large Inelastic Deformations of a Structural Foam at HighDeformation RatesM. Landervik and R. Larsson 119

Simulating Dinosaur Trackway FormationL Margetts, I.M. Smith, J.M. Leng and PL. Manning 123

COMPUTATIONAL MECHANICS OF CIVIL AND BIOENGINEERINGMATERIALS AND STRUCTURES: THE MULTISCALE PERSPECTIVE

Invited Session organized by Herbert Mang and Christian Hellmich

A Biomechanical Model Based on a FE2 Approach Using Data fromComputer TomographyT. Ebinger, H. Steeb, S. Diebels, W. Ripplinger and T. Tjardes 127

A Moisture-dependent Damage-plasticity Model for Mode I LoadingP. Moonen, S. Roels and J. Carmeliet 131

Does Critical Mode I Energy Release Govern Compressive AxialSplitting of Brittle Materials? Arguments from a Combined Fracture andMicromechanics ApproachB. Pichler and C. Hellmich 135

Homogenization for Contact Problems for Hypprosthesis with PeriodicallyRough SurfacesJ. Orlik and A. Zhurov 139

Impacts on Concrete Structures : From the Local Analysis to the StructuralBehaviorL. Daudeville, FV. Donze and J. Mazars 143

Modeling of Donnan Equilibrium in Charged Porous Materials -A ScaleTransition AnalysisP. Pivonka, D. Smith and B. Gardiner. 147

Propagation of Interacting Microcracks Results in Tensile Strain-softeningof Brittle Materials - A Combined Fracture and Micromechanics ApproachB. Pichler, Ch. Hellmich and H.A. Mang 152

Reliability of Fracturing Concrete Structures and Challenges of StochasticFinite Element ModellingZ.P. Bazant, S-D. Pang and P. Grassl 156

COMPUTATIONAL MODELLING OF GEOTECHNIC & MASONRYPROBLEMS

Invited Session organized by Jose Marques

Finite Element Modelling of the Pull-out Test of GeosyntheticsJ. Marques 161

Limit Analysis of Concrete Soldier-pile Walls in Clay: Influence of theHeight of the Excavation Levels on Vertical StabilityA.Antao, N. Guerra, M. Matos Fernandes and A. Cardoso 165

Numerical Simulation of a Trial Embankment Applying the MIT-E3 ModelP.J. Venda Oliveira and L.J. Leal Lemos 169

Role of the Reinforcement Density on the Behaviour of Geogrid ReinforcedSystemsA.A. Mendonga and M.L. Lopes 173

MULTI-PHYSICS MODELLING OF CEMENTITIOUS MATERIALS

Invited Session organized by Chris Pearce and Nenad Bicanic

Assessment of the Hygro-Mechanical Response of Porous Materials byMulti-Physics ModelingJ. Carmeliet, P. Moonen and S. Roels 177

Effects of Fluid Transport on the Integrity of Concrete StructuresC. Pearce, C. Davie and N. Bicanic 181

Modelling of Interactions Between Cracking, Shrinkage and Creep withinCoupled Hygro-mechanical Analyses of Cementitious MaterialsE. Rumanus, G. Meschke, J. Carmeliet and S. Roels 185

Multi-physics Approach to Modelling Concrete at High TemperatureF. Pesavento, D. Gawin, C.E. Maiorana and B.A. Schrefler 189

Stable Pitting Corrosion of Stainless Steel as Diffusion-controlledDissolution Process with a Sharp Moving Electrode BoundaryS. Scheinerand C. Hellmich 193

THE VALIDATED MODELLING OF CONCRETE PROBLEMS

Invited Session organized by Ian May

Benchmark Problems for Assessing a Combined Micro-mechanicalContinuum Based Model for ConcreteA. Jefferson and T. Bennett 197

Finite Element Analysis of Reinforced Concrete Slabs under ServiceLoading using a New Triangular Layered Plate ElementY.Zhang, M.A. Bradford and R.I. Gilbert 201

Modelling of Failure Mechanisms in RC Beams Retrofitted with FRP inFlexureG. Alfano, L. Rosati and G. Simonelli 205

Nonlinear Finite Element Analysis of Reinforced Concrete Deep BeamsS. Hassan Dirarand C.T. Morley 209

Numerical Simulation of Ultimate Load Tests on Fibre Reinforced ConcreteBeamsG. Hofstetter, B. Peer, G. Niederwanger and G. Fritsche 213

Validation of a Damage Plasticity Model for Concrete in Tension and inCompressionL. Jason, M. Choinska, G. Pijaudier-Cabot, S. Ghavamian and A. Huerta 217

INVITED SESSIONS II

ANALYSIS, OPTIMIZATION AND PROCESS DESIGN OF SHEET METALFORMING PARTS

Invited Session organized by Jean-Louis Batoz

General Framework for Analytic Sensitivity Analysis for InverseIdentification of Constitutive ParametersB. Endelt and K.B. Nielsen 223

Identification of a Combined Hardening and Application to a "One-Step"Inverse ApproachF. Sabourin and P. Simon 227

Increased Accuracy in Forming Simulation of Complex Renault Partthrough Corus-Vegter Material ModelC. ten Horn, H. Vegter and M. El Mouatassim 231

Material Characterization for Simulation of Sheet Metal FormingW. Schmitt, O. Benevolenski, T. WaldeandA. Krasowsky 235

On the Design of Sheet Metal Forming Parameters for SpringbackCompensationH. Naceur, S. Ben Elechi and J-L. Batoz 239

Optimization of the Blankholder Force with Application to Numisheet'99Front Door PanelL.B. Ayed, A. Delameziere and J-L. Batoz 243

Performance Assessment of Element Formulations and Constitutive Lawsfor the Simulation of Incremental Sheet Forming (ISF)M. Bambach and G. Hirt 247

Simulation of Multi-step Deep-drawing Processes Performed in TransferPressesM. Tisza, Zs. Lukacs and G. Ga 251

Springback Prediction for Sheet Metal Bending Tool DesignA. Revuelta and J. Larkiola 255

Three-dimensional FE Simulation of Single Point Incremental Forming:Experimental Evidences and Process Design ImprovingG. Ambrogio, L Filice, F. Gagliardi and F Micari 259

COMPUTATIONAL METHODS FOR FORMING PROCESSES

Invited Session organized by Lars-Erik Lindgren

A Field Data Transfer ProcedureA. El Hraiech, H. Borouchaki, P. Villon and L. Moreau 263

A New Approach to Evaluation and Compensation of Torsion of StampedSheetsT. Kondou, G. Uemura, K. Ito and N. Mori 267

Consideration of Circumferential Work Roll Surface Displacements in aNon-circular Arc Temper Rolling ModelK. Zeman, K. Krimpelstaetter, A. Kainz, G. Finstermann, G. Glanner andD. Paesold 271

Modelling Strain Induced Martensite Formation during FormingL-E Lindgren 275

Some Aspects on Material Modeling in Industrial Sheet FormingSimulationsK. Mattiasson and M. Sigvant 279

COMPUTATIONAL MODELLING OF FORMING AND IMPACT PROBLEMS

. Invited Session organized by Carlos Agelet de Saracibar and Jean-Philippe Ponthot

A Constitutive Model for Metals over a Large Range of Strain Rates andTemperatures Coupled to an Implicit Consistent Algorithm to SimulateDynamic ProcessesA. Rusinek and R. Zaera 283

A Numerical Procedure for Modeling Crack Formation in PowderCompaction Based Manufacturing ProcessesJ. Oliver, J.C. Cante and J.A. Hernandez 287

Characterizing the Plastic Anisotropy and Its Effect on Sheet Metal FormingSimulationS. Bouvier, J.L. Alves, L.F. Menezes and M.C. Oliveira 291

Forming Simulations - Material Modelling and Finite Element TechnologyS. Reese, M. Schwarze and B. Svendsen 295

Numerical Investigation on Plastic Collapse of Thin Walled BeamsSubjected to Biaxial BendingG. Belingardi and L Peroni 299

On the Modelling of the Dynamic Crack Propagation by Extended FiniteElement Method: Numerical Implementation in DYNELA CodeI. Nistor, O. PantaleandS. Caperaa 303

On the Numerical Modelling of Forming Processes Using the Particle FiniteElement MethodJ.C. Cante, J. Oliver and C.G. Gonzalez 307

On the Variational Formulation of Nonlinear Coupled ThermomechanicalConstitutive Equations and UpdatesL Stainier, Q. Yangm and M. Ortiz 311

Simulation of Complex Crashworthiness Problems by Using a CombinedImplicit/Explicit Time IntegrationL Noels, L. Stainier and J.P. Ponthot 315

Thermo-mechanical Finite Element Simulation of High Strain Rate TensileTests on High Deformation Plastic Sheet MaterialsP. Verleysen, B. Verhegghe, J. Degrieck and B. De Cooman 319

COMPUTATIONAL STRATEGIES FOR CUTTING & MACHININGOPERATIONS

Invited Session organized by Miguel Vaz Jr.

2d FE Modelling of Machining: A Comparison of Different Approaches withExperimentsH.Bil.A.E. Tekkaya and S.E. Kilig 323

Assessment of Some Relevant Local Variables in Machining by Using theSplit Tool TechniqueL Filice, F. Micari and D. Umbrello 327

Computation and Experimental Validation of the Oblique Cutting Process inAI2024-T4 and AISI 4340/. Cerro, J.L. Alcaraz, L.N. L6pez-de-Lacalle and O. Gonzalo 331

Machining Simulations and their Use in IndustryL-E. Lindgren, V. Kalhori and M. Lundblad 335

Numerical Simulation of the Sheet Metal Blanking ProcessP. Picart, V. Lemiale, A. Touache and J. Chambert 339

COMPUTATIONAL STRATEGIES FOR FORMING PROCESSES

Invited Session organized by Jose Cesar de Sa and Lionel Fourment

Damage and Fracture Modelling in Metal Forming ProcessesJ. Cesar deSa, P. Areias and C. Zheng 343

Experimental and FEM Study of the Influence of the Grinding Stone on theTemperature Field During Superficial GrindingA. Aguiar Vieira, A. Monteiro Baptista, R. Natal Jorge andM. Lages Parente 347

Formulations for Locking Treatment in Anisotropic Large DeformationElasto-plastic Thin StructuresRA. Fontes Valente, M.P. Parente, R.M. Natal Jorge, J.M. Cesar de Saand J.J. Gracio 351

Further Studies on Assessing Ductile Fracture Using Continuos DamageCoupled to an Elasto-plastic Material ModelM. VazJr, N. De Santi Jr., G. Verran and E. De Souza Neto 355

Influence of the Heat Affected Zone on Hydroforming with Tailor-WeldedTubular BlanksA.P. Roque, R.M. Natal Jorge, M.P. Parente, R.A. Fontes Valente andA.A. Fernandes 360

Quasi-symmetrical Formulations for Contact and Friction betweenDeformable Bodies: Application to 3D ForgingL Fourment and S. Popa 364

Rotation-free Triangular and Quadrilateral Shell Elements for Sheet-metalFormingM. Brunet and F Sabourin 368

Viscoelastic Transverse Impact of a Sphere on UFLYAND-MINDLIN PlateY. Rossikhin, M. Shitikova and A. Loktev 372

OPTIMIZATION METHODS IN FORMING PROCESSES

Invited Session organized by Tomaz Rodic

Contact Smoothing in Sensitivity Analysis and Optimization of Multi-BodyContact ProblemsJ. Lengiewicz, S. Stupkiewicz, T. Rodic, J. Korelc and P. Sustaric 376

Evaluation of Design Velocity Field by Direct Differentiation of SymbolicallyParameterized MeshJ. Korelc and N. Kristanic 380

Optimization of Induction Heating Parameters with Respect to Final Shapeof the PreformT. Sustar, J. Korelc and T. Rodic 384

Reducing Localisation Induced Defects at Blow Forming in Terms ofOptimal Shape Design/. Gresovnik, S. Hartman and T. Rodic 388

SIMULATION OF BULK FORMING PROBLEMS

Invited Session organized by Jean-Loup Chenot and Elisabeth Massoni

3D Modelling of Metal Flow in Hot RollingW. Rasp and A. Yusupov 392

A Mixed Temperature/heat Flux Formulation for Solving Unsteady ThermalProblem. Application to Hot Forming Process SimulationE. Massoni, C. Pelissou and J.L. Chenot 396

Enhanced Theoretical Solution and FE Simulation of the Double BackwardExtrusionM. Plancak, K. Kuzman, DJ. Cupkovic and D. Vilotic 400

Simulation of Bulk Forming Processes: Influence of Reliable Material Datanear the Contact Zone on Computation AccuracyM. Dubar.A. Dubois, R. Deltombe and L. Dubar. 404

INVITED SESSIONS III

ADVANCES IN MODELLING OF DISCRETE/DISCONTINUOUS SYSTEMS

Invited Session organized byY.T. Feng and N. Bicanic

Asynchronous/Multiple Time Integrators for Multi-fracturing Solids andDiscrete SystemsY. Feng, K. Han and R. Owen 411

Fracturation as a Non Smooth Contact Dynamics ProblemF. Dubois 415

Sweep-plane Approach to Bounding Box IntersectionT. Koziara and N. Bicanic 419

COMPUTATIONAL MATERIAL FAILURE

Invited Session organized by Xavier Oliver y Alfredo Huespe

3D Fracture Analysis of Concrete under Uniaxial Tension and CompressionSolicitationA. Caballero, I. Carol and CM. Lopez 423

A Boundary Element Method Formulation to Capture trong Discontinuitiesin SolidsO. Manzoli and W. Venturini 427

A FE Approach for the Computation of Strong and Weak Discontinuities atFinite StrainsP. Steinmann and J. Mergheim 431

A Generalized Finite Element Method for Grain-Boundary Sliding inPolycrystalsA. Simone, C.A. Duarte and E. van der Giessen 435

Computational Study of Dynamic Failure of Concrete IncludingViscoelasticity, Viscoplasticity and DamageR.R. Pedersen, L.J. Sluys and A. Simone 438

Discontinuous Numerical Modelling of Fracture Using EmbeddedDiscontinuitiesJ. Alfaiate and L.J. Sluys 442

Efficient Stress Return Algorithms using Energy-mapped Stress SpaceR. Crouch and H. Askes 446

Finite Deformation Fracture Modelling using Direct/Inverse StrongDiscontinuitiesM. Fagerstrom and R. Larsson 450

Geometrical Methods for Localization Analysis in Gradient-dependentPlasticityG. Etse and S. Vrech 454

Implementation of the Discrete and Continuum Approximations ofEmbedded Discontinuities in the Finite Element MethodL. Fernandez andA.G. Ayala 459

Material Bifurcation AnalysisE.V. Chaves 463

Modelling Masonry Using the Partition of Unity MethodK. De Proft and L.J. Sluys 467

Simulation of Crack Initiation and Propagation in Heterogenous Materialswith a Non-local Damage ModelF. Reusch and B. Svendsen 471

Static Multi-cracking Modelling in LRC BeamsR.C. Yu and G. Ruiz 475

Three-dimensional Simulation of Concrete Fracture Using Embedded CrackElements without Enforcing Crack Path ContinuityJ.M. Sancho, J. Planas, J. Galvez, D. Cendon and A. Fathy 479

Two-scale Analysis of Crack Using the Extended Finite Element MethodM. Cloirec, N. Moes, G. Marckmann and P. Cartraud 483

Variational Formulation of Localization PhenomenonG. Juarez andA.G. Ayala 487

COMPUTATIONAL MODELLING OF IMPACT PROBLEMS

Invited Session organized by Nik Petrinic

A Global Approach to the Failure Prediction of a Riveted AssemblyF. Lauro, A.S Bayart, B. Bennani and B. Langrand 491

Applications of Phenomenological Failure Models in Automotive CrashSimulationsH. Werner, H. Hooputra, S. Weyerand H. Gese 495

Crashworthiness Simulation of Aluminum Pressure Die Castings IncludingFracture PredictionC. Leppin, H. Hooputra, H. Werner, S. WeyerandR.V. Buchi 499

Development and Validation of Models for Penetration in HydrocodesP. Church and A. Davies 503

Element Splitting for Simulation of Material Fracture in 3D Solid ContinuaPR. Johnson, N. Petrinic and E. SOU 507

Experimental Characterisation and Computational Modelling of Fast CrackGrowth in High Strength Steel SheetsA.M Walker, L Wang, B. Elliott, A. Jumpasut and N. Petrinic 513

Modelling Impact Damage in Double-walled Composite StructuresA. Johnson and N. Pentecote 517

Numerical and Experimental Results of Blast Loaded StructuresG. Nurick et al. 521

Semi-adaptive Coupling Technique for the Prediction of Impact DamageL Aktay, A.F. Johnson and B.-H. Kroplin 523

CONTACT PROBLEMS

Invited Session organized by Todd Laursen

Discrete Dislocation Plasaticity Simulations of Rough Surface ContactL Nicola,A. Needleman, A.F Bower and E. Van der Giessen 527

Finite Strain Model for Elastomer-aluminum Contact Interface in FormingProcessesM. Luege and B. Luccioni 531

Midpoint Scheme for Elastodynamic Frictional Contact Problem and itsStabilisationH.B.Khenous 535

On the Hybrid Discretization of Contact and Friction in ElastodynamicsH. Khenous, P. Laborde and Y. Renard 541

DISCONTINUOUS ELEMENT REPRESENTATIONS

Invited Session organized by Rene de Borst

Discontinuous Galerkin Finite Element Approximation for DynamicFractureA. Arranz, S. Pethnic and E. Suli 545

Elastic-Plastic Fracture Analysis for Surface Cracks Using X-FEMT. Nagashima and N. Miura 549

Extended Finite Elements for Fracture Analysis of Functionally GradedMaterialsC. Comi and S. Mariani 553

High Order Extended Finite Element Method for Cracked DomainsP. Laborde, J. Pommier, Y. Renard and M. Salaun 557

Imposing Essential Boundary Conditions in the Extended Finite ElementMethodN. Moes, E. Bechetand M. Tourbier 561

Modelling of Cohesive and Non-cohesive Cracks Via X-FEM Based onGlobal Energy CriteriaP. Dumstorffand G. Meschke 565

Modelling of Failure for Composites by the Extended Finite-elementMethod and Level SetsT. Hettich and E. Ramm 569

Simulation of Fracture in Heterogeneous Materials with the CohesiveSegments MethodJ. Remmers, R. de Borst and A. Needleman 573

INDUSTRIAL PERSPECTIVE OF COMPUTATIONAL PLASTICITYMODELLING

Invited Session organized by Akiyama Masayoshi

Development of Crash Box for Passenger Car with High Capability forEnergy AbsorptionY. Nakazawa, K. Tamura, M. Yoshida, K. Takagi and M. Kano 577

Development of Material Design Simulator by Using the Phase-field Methodand the Homogenization MethodK. Matsui, T. Koyama and K. Terada 581

Die Design for Reducing Tube Outside Diameter by Cold Press andMechanism of Thinning and Bending PhenomenaM. Akiyama, T. Okui and K. Kuroda 583

Preliminar Investigation of the Role of Crystal Plasticity in PredictiveModelling of Impact on Aerospace StructuresH. Sarsfield, R. Keenan, L. Wang, N. Petrinic and F. Dunne 587

Simulation of Powder Behavior Based on Discrete Model Taking Account ofSurface Effect of ParticlesF. Tsumori, K. Hayakawa and S. Shima 591

Strain Analysis of Microstructure by Direct Measurement on Flat Surface ofMetalM. Yoshida and M. Akiyama 595

Tool Design for Suppressing Fracture at the Tip of Tube after Nosing withDieT. Kuboki, Y. Kimura, M. Murata and T. Shimoda 599

MICRO-MACROSCALE MODELLING

Invited Session organized by Christian Miehe

Multi-scale Modelling of Failure through Delamination and DecohesionM. Geers, V. Kouznetsova, A. Aydemir and M. Brekelmans 603

The Noise Spectrum of High-energy Crack Branching/. Arias, J. Knap and M. Ortiz 607

Two-scale Modelling of Plastic Anisotropies in MetalsT.Bohlke 610

MULTISCALE PLASTICITY

Invited Session organized by Wing-Kam Liu

Crystallographic Homogenization Elastoplastic Finite Element Analyses ofPolycrystal Sheet Material£. Nakamachi, H. Kuramae, Y. Nakamura and H. Sakamoto 614

Multiscale Modeling of Crystal Plasticity in Al 7075-T651D. Littlewood and A. Maniatty 618

Parallel Performance Evaluation of Multi-scale Finite Element AnalysisBased on Crystallographic Homogenization MethodH. Kuramae, K. Okada, M. Yamamoto, M. Tsuchimura, H. Sakamotoand E. Nakamachi 622

NONLINEAR AND HIGHER ORDER ASPECTS IN COMPUTATIONALMECHANICS FOR SHELLS

Invited Session organized by Ekkehard Ramm and Manfred Bischoff

A Multiscale Computational Framework for the Modeling of CarbonNanotubesA. Masud and R. Kannan , 626

Finite Element Formulations for Geometrical and Material Nonlinear ShellsBased on a Hu-Washizu FunctionalF Gruttmann and W. Wagner 630

On Theoretical Formulation and Finite Element Implementation of 3D-ShellModelA. Ibrahimbegovic, B. Brank and U. Bohinc 634

Static vs. Kinetic Limit Loads of Shells of RevolutionD. Dinkier and J. Pontow 635

PLASTICITY ISSUES IN SHELL PROBLEMS

Invited Session organized byAdnan Ibrahimbegovic

Field Transfer in Non Linear Structural Mechanics Based on DiffuseApproximationD. Brancherie, P. Villon, A. Ibrahimbegovic, A. Rassineux andP. Breitkopf 639

Finite Deformation Plasticity in 3D Shell ModelB. Brank, A. Ibrahimbegovic and U. Bohinc 643

Modelling of Inelastic Response of Thick RC Shell with Enhanced SolidElementsN. Dominguez, D. Brancherie, L. Davenne and A. Ibrahimbegovic 644

Multi-scale Modelling of Heterogeneous Structures with InelasticConstitutive BehaviorA. Ibrahimbegovic, D. Markovic, H. Matthies, R. Niekamp andR.L Taylor 648

On the Performance of 3D Elements for Shell Analysis with Non-linearSoftening Plasticity Models.S. Hartmann, M. Bischoff and E. Ramm 649

VALIDATION OF MODELS

Invited Session organized by Olivier Allix

A First Strategy for the Application of the Modified Constitutive ErrorConcept in Nonlinear Dynamics for Corrupted Measurements0. Allix, H.M. Nguyen and P. Feissel 653

Identification of Models for Nonlinearity and Hysteresis in PiezoelectricityB. Kaltenbacher 657

Parameter Identification of Nonlinear Constitutive Laws by an UnscentedKalman FilterA. Corigliano, A. Ghisi and S. Mariani 661

Quantifying the Lack of Knowledge (LOK) of an Industrial Model inStructural DynamicsP. Ladeveze, G. Fuel and T. Romeuf 665

CONTRIBUTED SESSIONS

ADVANCED MATERIAL MODELS

A Discrete 2D Quasi-static Cyclic Constitutive Model IncorporatingHysteresis for Quasi-brittle MaterialsS. Mertens, K. De Proft and J. Vantomme 703

A New Numerical Scheme for Large Deformation Non-isotropic PlasticityM. Cuomo and M. Fagone 707

A New Numerico-analytical Method for the Solution of ElastoplasticEquations Based on the Splitting of Constitutive EquationsV.N. Kukudzhanov 711

A Nonlinear Kinematic Hardening Model for the Simulation of CyclicLoading Paths in Anisotropic Aluminum Alloy SheetsR. Cardoso, J. Yoon, R. Valente, J. Gracio, F Simoes and R. Sousa 715

A Note on the Implementation of Return Mapping Algorithms andConsistent Tangent Operators in Isotropic ElastoplasticityN. Valoroso, L. Rosati and R. Serpieri 719

A Study on Kinematic Hardening Models for the Simulation of CyclicLoading in Finite Elasto-plasticity Based on a Substructure ApproachU.J. G6rke,A. BucherandR. Kreiliig 723

A Viscoplastic Model with Straing Rate Constitutive Parameters for AsphaltMixtures' Response SimulationJ. Gonzalez, J. Miquel and S. Oiler 727