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Constitutive Models for Rubber IV : Proceedings of the fourth European Conference on Constitutive Models for Rubber, ECCMR 2005, Stockholm, Sweden, 27-29 June 2005 PDF

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CONSTITUTIVE MODELS FOR RUBBER IV PROCEEDINGS OF THE 4TH EUROPEAN CONFERENCE FOR CONSTITUTIVE MODELS FOR RUBBER, ECCMR 2005, STOCKHOLM, SWEDEN, 27–29 JUNE 2005 Constitutive Models for Rubber IV Edited by Per-Erik Austrell Division of Structural Mechanics, Lund Institute of Technology, Lund University, Lund, Sweden Leif Kari The Marcus Wallenberg Laboratory for Sound and Vibration Research, Royal Institute of Technology, Stockholm, Sweden A.A. BALKEMA PUBLISHERS LEIDEN/ LONDON/ NEWYORK/ PHILADELPHIA/ SINGAPORE Copyright © 2005 Taylor & Francis Group plc, London, UK All rights reserved. No part of this publication or the information contained herein may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, by photocopying, recordingor otherwise, without written prior permission from the publisher. Although all care is taken to ensure the integrity and quality of this publication and the information herein, no responsibility is assumed by the publishers nor the author for any damage to property or persons as a result of operation or use of this publication and/or the information contained herein. Published by: A.A. Balkema Publishers, a member of Taylor & Francis Group plc www.balkema.nl, www.tandf.co.uk & www.crcpress.com ISBN: 0 415 38346 3 Printed in Great-Britain Constitutive Models for Rubber IV – Austrell & Kari (eds) ©2005 Taylor & Francis Group, London, ISBN 0 415 38346 3 Table of Contents Foreword XI Foreword (volume 1) XIII Sponsors XV Strength, fracture and fatique Prediction of fatigue crack initiation in rubber with the help of configurational mechanics 3 E. Verron Four tests to characterize a Haigh-diagram for damage calculations 9 T. Steinweger, U. Weltin & M. Flamm Influence of mean stress and mean strain on fatigue life of carbon black filled natural rubber 15 E. Ostoja-Kuczynski, P. Charrier, E. Verron, L. Gornet & G. Marckmann Fatigue life analysis of an exhaust mount 23 W.V. Mars, J. Kingston, A. Muhr, S. Martin & K.W. Wong Effect of the hysteretic response of elastomers on the fatigue life 31 A. Andriyana & E. Verron Formulation and computation of fracture sensitivity for elastomers 37 M. Kaliske, B. Näser & R. Müller Durability simulations of elastomeric structures 45 B. Näser, M. Kaliske & M. André Energy release rates for small cracks in rubber components 51 J. Gough & A.H. Muhr Numerical simulation of large strain fracture problems using X-FEM 59 G. Legrain, E. Verron & N. Moës Determining multiaxial fatigue in elastomers using bubble inflation 65 N. Murphy, J. Hanley, S. Jerrams, J. McCartin, B. Lanigan, S.D. McLoughlin, G. Clauss & R. Johannknecht Testing and simulation of the influence of glass spheres on fatigue life and dynamic crack propagation of elastomers 71 F. Abraham, G. Clauß & T. Alshuth A local criterion for fatigue crack initiation on chloroprene rubber: approach in dissipation 77 F. Lacroix, S. Méo, G. Berton, F. Chalon, A. Tougui & N. Ranganathan Hysteresis area calculated from a dynamic material model: A new damage parameter for lifetime estimations? 83 T. Brüger, M. Rabkin & U. Weltin V Influence of crack tip sharpness and radius on the strain distribution in rubbers analyzed by finite element simulation and experiments 89 Ch. Feichter, Z. Major & R.W. Lang An experimental study of rubber cutting process 97 J. Yan & J.S. Strenkowski Finite element modelling of rubber cutting 103 J. Yan & J.S. Strenkowski Mechanical behaviour and fatigue lifetime of natural rubber reinforced by two grades of precipitated silica 109 L. Laiarinandrasana, A. Bennani, S. Cantournet & Y. Bomal Micro-mechanism of fatigue crack growth: Comparison between carbon black filled NR and SBR 115 J-B. Le Cam, E. Verron, B. Huneau, L. Gornet & F. Pérocheau Combined modelling and experimental studies of rubber toughening in polymers 121 J.P. Dear A constitutive model for the fatigue life prediction of rubber 129 I. Raoult, C. Stolz & M. Bourgeois Analysis of rubber components under large deformations 135 P. Nordlund Modelling the abrasion process in elastomer materials 139 J.J.C. Busfield, H. Liang, Y. Fukahori & A.G. Thomas Transitions in tear and fatique crack growth in elastomers 145 J.J.C. Busfield, I.C. Papadopoulos & A.G. Thomas Micro-mechanical and statistical approaches Computational testing and modelling of polymers and soft tissue using chain statistics 155 S. Reese & M. Böl Simulation of filled polymer networks with reference to the Mullins effect 165 M. Böl & S. Reese Modeling of stress softening and filler induced hysteresis of elastomer materials 171 M. Klüppel, J. Meier & M. Dämgen Simulation of inelastic rubber material using a force field based FE approach 179 L. Nasdala, M. Kaliske & Y. Wei Constitutive equation for rubber elasticity with the change in internal energy and entropy 185 K. Akutagawa A Statistical approach for a hyper-visco-elasto-plastic model for a filled elastomer 191 A. Boukamel, J.M. Martinez & S. Méo Modelling of the mechanical behaviour of a filled elastomer with a self-consistent homogenization technique 197 B. Omnés, T. Henri, S. Thuillier & P. Pilvin Use of the full-network model at the highlight of the logarithmic strain measure 203 J. Diani & P. Gilormini VI Detection of load-bearing strands in cross-linked rubbers from strain dependence of elastomer viscoelasticity 209 T.N. Khazanovich Stress softening A micro–macro approach to rubbery polymers incorporating anisotropic evolution of Mullins–type damage 215 S. Göktepe & C. Miehe ABAQUS implementation and simulation results of the MORPH constitutive model 223 D. Besdo, C. Hohl & J. Ihlemann Directional sensitivity of Mullins effect 229 D. Besdo & J. Ihlemann A mixed physical-phenomenological approach for the Mullins effect 237 G. Chagnon, G. Marckmann, E. Verron, L. Gornet & P. Charrier Influence of Mullins effect on local strains and stresses in structures – Numerical analysis 243 L. Gornet, G. Chagnon & P. Charrier An anisotropic model for the Mullins effect in rubber 251 M.H.B.M. Shariff Material directional based constitutive law for Mullins induced anisotropy 257 M. Brieu & J. Diani Application and comparison of constitutive models for description of rubber-like materials under cyclic loading 263 Z. Guo & L.J. Sluys Thermodynamics modeling of viscous and non viscous hysteresis of filled rubber 271 O. Guindet & R. Desmorat On the constitution of filled rubber components and utilisation in nonlinear finite element analysis 277 M. Achenbach & J. Duarte Dynamic properties and the Fletcher-Gent effect On the modelling of amplitude and frequency - dependent properties in rubberlike solids 285 I. Németh, G. Schleinzer, R.W. Ogden & G.A. Holzapfel Measurement & modelling of the non-linear, history dependent, single axis and multi-axis behaviour of filled elastomers 293 V.A. Coveney & D.E. Johnson Modelling dynamic properties of filled rubber in uniaxial and biaxial stress configurations 299 H.R. Ahmadi, J. Kingston & A.H. Muhr Transient response of inelastic materials to changes of amplitude 305 H. Ahmadi, D. Besdo, J. Ihlemann, J.G.R. Kingston & A. Muhr Approximate viscoelastic FE-procedures in frequency and time domain to account for the Fletcher-Gent effect 313 A.K. Olsson, P-E. Austrell & G. Sandberg VII An effective engineering formula for torsion stiffness of rubber bush including amplitude dependence 319 M.J. García Tárrago, L. Kari, N. Gil-Negrete & J. Viñolas Dynamic stress-strain behavior of filled natural rubber under combined axial and shear straining 325 W.V. Mars & J. Bergstrom Viscoelasticity Parameter identification for parallel hyperelastic – viscoelastic – elastoplastic models with damage for elastomeric materials and numerical example 335 U. Freundt & R. Vogt Calibration of a nonlinear viscoelasticity model with sensitivity assessment 341 H. Johansson & K. Runesson Network defects and visco-elasticity 349 M. Lang, D. Göritz & S. Kreitmeier Constitutive characterisation of rubber blends by means of genetic algorithms 361 H.W. Müllner, J. Eberhardsteiner & A. Wieczorek Choice of appropriate constitutive equations in modelling of injection moulding of rubber 369 V. Nassehi, G. Khodabakhshi & J. Clarke Hyperelastic models Efficiency of hyperelastic models for rubber-like materials 375 G. Marckmann & E. Verron Hyperelastic limiting chain extensibility constitutive models for rubber: A brief review 381 C. Horgan & G. Saccomandi Polyconvex strain energy functions for anisotropic elastomers 387 M. Itskov & A. Ehret Model reduction method for composites structures with elastomeric matrix 391 S. Lejeunes, A. Boukamel & B. Cochelin Hyperelastic finite element procedures based upon logarithmic strain measures 397 P.A. Kakavas & N.K. Anifantis New constitutive equation for unfilled rubbers based on maximum chain extensibility approach 403 P.A. Kakavas & P.J. Blatz Strains in compression and inflation of rubber 409 P.H. Mott, C.M. Roland, M.L. Anderson & S.E. Hassan Influence of rubber parameters on the calculation of nip pressure profile in paper coating 415 J. Rämö, T. Vuoristo, V-T. Kuokkala, G. Simbierowicz & R. Vanninen Prediction of the twisting moment and the axial force in a circular rubber cylinder for combined extension and torsion based on the logarithmic strain approach 421 P.A. Kakavas, A.P. Vassilopoulos & J. Boviatsis Constitutive modeling of rubber under finite strain 425 M.M. Attard Choosing constitutive models for elastomers used in printing processes 431 T.V. Korochkina, T.C. Claypole & D.T. Gethin VIII Mechanical characterisation and modelling of elastomers based on chemical compositions 437 I.J. Whibley, E. Cutts, M. Phillip & D. Pearce Ageing Creep prognosis for elastomeric parts through accelerated tests 445 M. Flamm, E. Groß, T. Steinweger & U. Weltin Rheology and processing Modelling single screw extrusion 451 T. Henri Filler reinforcement Investigation of interfacial slippage on filler reinforcement in carbon-black filled elastomers 459 J.J.C. Busfield, V. Jha, A.A. Hon & A.G. Thomas Inelasticity of hard-phase-reinforced elastomers: A study of copolyurethanes with varying hard and soft segments 465 C.P. Buckley, C. Prisacariu, A.A. Caraculacu & C.M. Martin An introduction to the terminology used in the carbon black industry 471 G. Townson & J. Hallett Noise, vibration and shock applications Dynamic stiffness prediction of filled rubber mounts: Comparison between a fractional derivative viscoelastic-elastoplastic model and a simplified procedure 479 N. Gil-Negrete, J. Viñolas & L. Kari Nonlinear transmission behavior of elastomeric components 487 M. Rabkin Modelling of constrained thin rubber layer with emphasis on damping 493 M. Alvelid & M. Enelund An analytical, closed-form stiffness model for preloaded conical rubber mounting in the audible frequency range 501 M. Coja & L. Kari Lubrication and friction Modelling of rubber friction: A quantitative description of the hysteresis and adhesion contribution 509 A. Le Gal & M. Klüppel Modelling of hysteresis and adhesion friction of rubber in time domain 515 P. Moldenhauer, M. Lindner, M. Kröger & K. Popp Thermal properties Real time simulation and testing on heat generation of rubber spring under dynamic loading 523 R.K. Luo, W.X. Wu & W.J. Mortel IX

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