Constitutive models for rubber VI : proceedings of the sixth European Conference on Constitutive Models for Rubber, Dresden, Germany, 7-10 September 2009

Recent developments in order to represent the material behaviour of filler-reinforced elastomers under realistic operating conditions are collected in this volume. Special topics are finite element simulations and methods, dynamic material properties, experimental characterization, lifetime prediction, friction, multiphysics and biomechanics, reinforcement, ageing, fracture and fatigue as well as micro- and macromechanical approaches. Constitutive Models for Rubber VI is of interest to research and development engineers in the industry, and to postgraduates and researchers in all disciplines of engineering and materials science. Table of contents......Page 6 Foreword......Page 12 Foreword (Volume 1)......Page 14 Sponsors......Page 16 Ageing......Page 18 Accelerated ageing of polychloroprene for marine applications......Page 20 Consideration of environmental influences on fatigue tests of elastomer components......Page 26 Fatigue life prediction of aged natural rubber material......Page 32 Computational methods FEM implementation......Page 36 FE-Implementation of the concept of representative directions......Page 38 Numerical prediction of mechanical behavior of single walled carbon nanotube/rubber composites......Page 44 Ansys user defined material implementation of van der Waals model......Page 50 Filler-reinforced rubber under transient and cyclic loadings: Constitutive modeling and FEM-implementation for time domain simulations......Page 56 A computational contact model for nanoscale rubber adhesion......Page 64 Continuum mechanical models......Page 70 Permanent and voluminal strain induced by isotropic ductile damage formulation in forming processes of filled-elastomer materials......Page 72 An approach to the continuum description of the behavior of particulate elastomeric composites......Page 78 A phenomenological finite strain framework for the simulation of elastic polymer curing......Page 82 Experimental and theoretical investigations of the viscoelastic behaviour of cellular rubber......Page 88 A micro-sphere model for rubbery polymers with continuously evolving chain—ODF......Page 94 Algorithm of constant definition for a visco-elastic rubber model based on cyclic experiments, stress relaxation and creep data......Page 96 Structural-phenomenological modelling of softening and recovery of mechanical properties of elastomer nanocomposite......Page 102 A phenomenological model for the material behaviour of elastomers due to multi network chains......Page 108 Dynamic properties and vibration......Page 114 An experimental study of magneto-sensitive natural rubber components applied in a vibration isolation system......Page 116 Representation of dynamic elastomer behavior with focus on amplitude dependency......Page 122 Viscoelastic properties of filler reinforced elastomers......Page 128 Simulation of self-heating of dynamically loaded elastomer components......Page 136 Efficient dynamic modeling of rolling tyre tread blocks......Page 142 Fitting a viscoplastic time-domain model to equivalent viscoelastic materials data......Page 148 On the modelling of the frequency dependence of the material behaviour of elastomers with emphasis on the coefficient of thermal expansion......Page 154 Experimental determination of the mechanical properties of naturally aged rubber......Page 160 Modelling and simulation of dynamically loaded elastomer-mounts under predeformation......Page 166 The visco-elastic behaviour of elastomers at large pre-strains......Page 170 Experiments and characterisation......Page 176 Dynamic characterization of elastomers using impact testing......Page 178 Dynamic mechanical analysis of prestrained highly-filled elastomers......Page 184 Volume change in stretched crystallisable rubbers......Page 190 Influence of temperature on durability behavior of carbon black filled natural rubber......Page 196 Multi-axial viscoelastic deformation of carbon-black filled EPDM rubber......Page 204 Mechanical characterization of rubber from one heterogeneous test......Page 210 Experimental characterization and parameter identification of inelastic effects in filled rubber materials......Page 216 Flocculation kinetics in the light of jamming physics: New insights into the Payne-effect in filled rubbers......Page 222 Mechanical and structural characterization of rubber under one-, two- and three-dimensional load......Page 228 Stress relaxation behaviors of filled rubbers under various deformations......Page 232 Fatigue and lifetime......Page 238 Beyond Miner’s rule for the fatigue of elastomers: Experiments and modelling......Page 240 Constitutive and numerical modeling of the fatigue behavior of a filled rubber......Page 246 Lifetime prediction of rubber products under simple-shear loads with rotary axes......Page 252 Rubber component fatigue life evaluation based on FE-modelling and material testing......Page 258 Fatigue design and test on Chevron rubber springs used in rail vehicles......Page 266 Towards a new fatigue life characterization based on heat build-up measurements?......Page 272 Identifying the damaging events in a multiaxial duty cycle......Page 278 The effect of pre-stressing on the equi-biaxial fatigue life of EPDM......Page 286 Extended Wöhler curve to predict fatigue life of elastomeric components......Page 292 Hyperelasticity with volumetric damage......Page 296 Friction......Page 302 Modelling friction and abrasion in rubber......Page 304 Wet and dry friction of elastomers in advanced simulation compared to experiment......Page 312 Compression of rubber disks between frictional surfaces......Page 318 The mechanics of sliding friction between a rigid indenter and a rubber surface......Page 322 Fracture and crack propagation......Page 328 Energy release rate of small cracks under finite multiaxial straining......Page 330 In-situ SEM study of fatigue crack growth mechanism in carbon black-filled natural rubber......Page 336 Applying infrared thermography to determine heat sources at the crack tip of rubber specimens......Page 342 Structural influence on crack propagation behaviour in elastomeric materials......Page 348 Discrete modelling of fracture processes in rubber material......Page 354 The influence of the test properties on dynamic crack propagation in filled rubbers by simultaneous tensile-and pure-shear-mode testing......Page 362 Industrial applications......Page 368 Appraisal of nonlinear plasticity models for filled rubber using benchmark tests......Page 370 Temperature dependence of midsole materials......Page 378 Anisotropic hyperelastic models in Abaqus......Page 382 Investigation on the optimal specimen design for planar-biaxial materials testing of soft materials......Page 388 Layout process of pre-stressed rubber suspension bushings......Page 394 Effect of plate technology and orientation on flexographic line deformation......Page 400 Thermo-mechanical finite element analysis of a viscoelastic model......Page 406 Micro- and macromechanical approaches......Page 412 Simulation of phantom elastomeric polymer networks......Page 414 A micro-continuum-mechanical material model for failure of rubber-like materials......Page 418 Meso-scopic 3D-finite element analysis of filled elastomer......Page 426 Changes in the orientation state of polymer molecules in the space between filler particles......Page 430 Modelling the effects of various contents of fillers on the relaxation rate of filled rubbers......Page 434 A microstructure-based model of the stress-strain behaviour of filled elastomers......Page 440 A multiscale approach to model the mechanical behaviour of heterogeneous hyperelastic membranes......Page 446 Dynamic mechanical properties of strongly stretched polymer chains and networks: Different molecular models......Page 452 Multiphics and biomechanics......Page 458 A direction dependent approach to the modeling of shape memory polymers......Page 460 Modeling of myocardial splitting due to deep penetration......Page 466 Magnetoelastic anisotropic elastomers in a static magnetic field: Constitutive equations and FEM solutions......Page 470 Identification of strain energy function for magneto elastomer from pseudo pure shear test under the variance of magnetic field......Page 476 Experiment and material model for soft tissue materials......Page 482 Reinforcement......Page 488 Quantitative structural analysis of filled rubber by AFM......Page 490 Role of the interphase on reinforcement of filled rubbers: Influence of temperature, carbon black content and strain......Page 494 Non-linear elastic behavior of carbon black filler aggregates in rubber-like elastomers......Page 506 Stress softening ......Page 512 Temperature dependence of Mullins softening-healing phenomena: An outline for theoretical description based on experiments......Page 514 A micro-mechanical model for the anisotropic Mullins effect in filled rubber-like elastomers......Page 522 Experimental observation of induced anisotropy of the Mullins effect in particle-reinforced silicone rubber......Page 528 Author index......Page 534 Back cover......Page 536 Table of contents 6 Foreword 12 Foreword (Volume 1) 14 Sponsors 16 Ageing 18 Accelerated ageing of polychloroprene for marine applications 20 Consideration of environmental influences on fatigue tests of elastomer components 26 Fatigue life prediction of aged natural rubber material 32 Computational methods FEM implementation 36 FE-Implementation of the concept of representative directions 38 Numerical prediction of mechanical behavior of single walled carbon nanotube/rubber composites 44 Ansys user defined material implementation of van der Waals model 50 Filler-reinforced rubber under transient and cyclic loadings: Constitutive modeling and FEM-implementation for time domain simulations 56 A computational contact model for nanoscale rubber adhesion 64 Continuum mechanical models 70 Permanent and voluminal strain induced by isotropic ductile damage formulation in forming processes of filled-elastomer materials 72 An approach to the continuum description of the behavior of particulate elastomeric composites 78 A phenomenological finite strain framework for the simulation of elastic polymer curing 82 Experimental and theoretical investigations of the viscoelastic behaviour of cellular rubber 88 A micro-sphere model for rubbery polymers with continuously evolving chain—ODF 94 Algorithm of constant definition for a visco-elastic rubber model based on cyclic experiments, stress relaxation and creep data 96 Structural-phenomenological modelling of softening and recovery of mechanical properties of elastomer nanocomposite 102 A phenomenological model for the material behaviour of elastomers due to multi network chains 108 Dynamic properties and vibration 114 An experimental study of magneto-sensitive natural rubber components applied in a vibration isolation system 116 Representation of dynamic elastomer behavior with focus on amplitude dependency 122 Viscoelastic properties of filler reinforced elastomers 128 Simulation of self-heating of dynamically loaded elastomer components 136 Efficient dynamic modeling of rolling tyre tread blocks 142 Fitting a viscoplastic time-domain model to equivalent viscoelastic materials data 148 On the modelling of the frequency dependence of the material behaviour of elastomers with emphasis on the coefficient of thermal expansion 154 Experimental determination of the mechanical properties of naturally aged rubber 160 Modelling and simulation of dynamically loaded elastomer-mounts under predeformation 166 The visco-elastic behaviour of elastomers at large pre-strains 170 Experiments and characterisation 176 Dynamic characterization of elastomers using impact testing 178 Dynamic mechanical analysis of prestrained highly-filled elastomers 184 Volume change in stretched crystallisable rubbers 190 Influence of temperature on durability behavior of carbon black filled natural rubber 196 Multi-axial viscoelastic deformation of carbon-black filled EPDM rubber 204 Mechanical characterization of rubber from one heterogeneous test 210 Experimental characterization and parameter identification of inelastic effects in filled rubber materials 216 Flocculation kinetics in the light of jamming physics: New insights into the Payne-effect in filled rubbers 222 Mechanical and structural characterization of rubber under one-, two- and three-dimensional load 228 Stress relaxation behaviors of filled rubbers under various deformations 232 Fatigue and lifetime 238 Beyond Miner’s rule for the fatigue of elastomers: Experiments and modelling 240 Constitutive and numerical modeling of the fatigue behavior of a filled rubber 246 Lifetime prediction of rubber products under simple-shear loads with rotary axes 252 Rubber component fatigue life evaluation based on FE-modelling and material testing 258 Fatigue design and test on Chevron rubber springs used in rail vehicles 266 Towards a new fatigue life characterization based on heat build-up measurements? 272 Identifying the damaging events in a multiaxial duty cycle 278 The effect of pre-stressing on the equi-biaxial fatigue life of EPDM 286 Extended Wöhler curve to predict fatigue life of elastomeric components 292 Hyperelasticity with volumetric damage 296 Friction 302 Modelling friction and abrasion in rubber 304 Wet and dry friction of elastomers in advanced simulation compared to experiment 312 Compression of rubber disks between frictional surfaces 318 The mechanics of sliding friction between a rigid indenter and a rubber surface 322 Fracture and crack propagation 328 Energy release rate of small cracks under finite multiaxial straining 330 In-situ SEM study of fatigue crack growth mechanism in carbon black-filled natural rubber 336 Applying infrared thermography to determine heat sources at the crack tip of rubber specimens 342 Structural influence on crack propagation behaviour in elastomeric materials 348 Discrete modelling of fracture processes in rubber material 354 The influence of the test properties on dynamic crack propagation in filled rubbers by simultaneous tensile-and pure-shear-mode testing 362 Industrial applications 368 Appraisal of nonlinear plasticity models for filled rubber using benchmark tests 370 Temperature dependence of midsole materials 378 Anisotropic hyperelastic models in Abaqus 382 Investigation on the optimal specimen design for planar-biaxial materials testing of soft materials 388 Layout process of pre-stressed rubber suspension bushings 394 Effect of plate technology and orientation on flexographic line deformation 400 Thermo-mechanical finite element analysis of a viscoelastic model 406 Micro- and macromechanical approaches 412 Simulation of phantom elastomeric polymer networks 414 A micro-continuum-mechanical material model for failure of rubber-like materials 418 Meso-scopic 3D-finite element analysis of filled elastomer 426 Changes in the orientation state of polymer molecules in the space between filler particles 430 Modelling the effects of various contents of fillers on the relaxation rate of filled rubbers 434 A microstructure-based model of the stress-strain behaviour of filled elastomers 440 A multiscale approach to model the mechanical behaviour of heterogeneous hyperelastic membranes 446 Dynamic mechanical properties of strongly stretched polymer chains and networks: Different molecular models 452 Multiphics and biomechanics 458 A direction dependent approach to the modeling of shape memory polymers 460 Modeling of myocardial splitting due to deep penetration 466 Magnetoelastic anisotropic elastomers in a static magnetic field: Constitutive equations and FEM solutions 470 Identification of strain energy function for magneto elastomer from pseudo pure shear test under the variance of magnetic field 476 Experiment and material model for soft tissue materials 482 Reinforcement 488 Quantitative structural analysis of filled rubber by AFM 490 Role of the interphase on reinforcement of filled rubbers: Influence of temperature, carbon black content and strain 494 Non-linear elastic behavior of carbon black filler aggregates in rubber-like elastomers 506 Stress softening 512 Temperature dependence of Mullins softening-healing phenomena: An outline for theoretical description based on experiments 514 A micro-mechanical model for the anisotropic Mullins effect in filled rubber-like elastomers 522 Experimental observation of induced anisotropy of the Mullins effect in particle-reinforced silicone rubber 528 Author index 534 Back cover 536 9780415563277,(Hbk),978-0-203-86222-3,(Ebook) CRC Press Annotation Recent developments in order to represent the material behaviour of filler-reinforced elastomers under realistic operating conditions are collected in this volume. Special topics are finite element simulations and methods, dynamic material properties, experimental characterization, lifetime prediction, friction, multiphysics and biomechanics, reinforcement, ageing, fracture and fatigue as well as micro- and macromechanical approaches. Constitutive Models for Rubber VIis of interest to research and development engineers in the industry, and to postgraduates and researchers in all disciplines of engineering and materials science