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In order to develop innovative products, to reduce development costs and the number of prototypes and to accelerate development processes, numerical simulations become more and more attractive. As such, numerical simulations are instrumental in understanding complicated material properties like chemical ageing, crack propagation or the strain- and temperature-induced crystallisation of rubber. Therefore, experimentally validated and physically meaningful constitutive models are indispensable. Elastomers are used for products like tyres, engine and suspension mounts or seals, to name a few. The interest in modelling the quasi-static stress-strain behaviour was dominant in the past decades, but nowadays the interests also include influences of environmental conditions. The latest developments on the material behaviour of elastomers are collected in the present volume.
Constitutive Models for Rubber X is a comprehensive compilation of nearly all oral and poster contributions to the European Conference on Constitutive Models for Rubber (Munich, 28-31 August 2017). The 95 highly topical contributions reflect the state of-the-art in material modelling and testing of elastomers. They cover the fields of material testing and processing, filler reinforcement, electromagnetic sensitive elastomers, dynamic properties, constitutive modelling, micromechanics, finite element implementation, stress softening, chemical ageing, fatigue and durability. In the area of rubbery materials and structures, applied research will play an important role also in the coming decades.
Constitutive Models for Rubber X is of interest to developers and researchers involved in the rubber processing and CAE software industries, as well as for academics in nearly all disciplines of engineering and material sciences.
Keynote lectures
Effect of filler content and crosslink density on the mechanical properties of carbon-black filled SBRs
J. Diani, M. Brieu & P. Gilormini
Experimental research and numerical simulation of the damping properties of Magnetorheological Elastomers
I. Petrikova & B. Marvalova
Efficiency of rubber material modelling and characterisation
H. Donner, L. Kanzenbach, J. Ihlemann & C. Naumann
Ageing
Modelling of reaction-diffusion induced oxidation of elastomers in two spatial dimensions by means of ADI method
A. Herzig, M. Johlitz & A. Lion
A study on characterising ageing phenomena via the dynamic flocculation model
N.H. Kroger, R. Zahn & U. Giese
Comparison between thermo-oxidative aging and pure thermal aging of an industrial elastomer for anti-vibration automotive applications
M. Broudin, Y. Marco, V. Le Saux, P. Charrier, W. Hervouet & P.Y. Le Gac
Influence of antioxidant type on the thermo-oxidative aging of rubber vulcanizates
K. Reincke, K. Oswald, S. Sokmen, B. Langer & W. Grellmann
On the thermal aging of a filled butadiene rubber
K.D. Ahose, S. Lejeunes, D. Eyheramendy & F. Sosson
Role of strain-induced crystallization on fatigue properties of natural rubber after realistic aerobic ageing
F. Grasland, J.M. Chenal, L. Chazeau, J. Caillard & R. Schach
Service life determination of rubber fuel hose used in aircraft applications
R.J. Pazur & C.G. Porter
Simulation of oxidative aging processes in elastomer components using a dynamic network model
C. Schlomka, J. Ihlemann & C. Naumann
Modeling and simulation of couplings between chemical aging and dissipative heating in dynamic processes on the example of an NBR elastomer
B. Musil, M. Johlitz & A. Lion
Nitrile rubber—the influence of acrylonitrile content on the thermo-oxidative aging
L. Vozarova, M. Johlitz, A. Lion & M. Koberl
Constitutive models and their implementation in FEM
A time-dependent hyperelastic approach for evaluation on rubber creep and stress relaxation
R.K. Luo, M. Easthope & W.J. Mortel
Modeling the Payne effect with Marc in the frequency response of rubber
A.P. de Graaf
Eversion of tubes: Comparison of material models
H. Baaser, B. Nedjar, R.J. Martin & P. Neff
A new constitutive model for carbon-black reinforced rubber in medium dynamic strains and medium strain rates
F. Carleo, J.J.C. Busfield, R. Whear & E. Barbieri
An affine full network model for strain-induced crystallization in rubbers
A. Nateghi, M.A. Keip & C. Miehe
Constitutive modelling of the amplitude and rate dependency of carbon black-filled SBR vulcanizate and its implementation into Abaqus
M. Fujikawa, N. Maeda, J. Yamabe & M. Koishi
Application and extension of the MORPH model to represent curing phenomena in a PU based adhesive
R. Landgraf & J. Ihlemann
A RVE procedure to estimate the J-Integral for rubber like materials
M. Welsch
Lateral stiffness of rubber mounts under finite axial deformation
A.H. Muhr
Finite element implementation of a constitutive model of rubber ageing
J. Heczko & R. Kottner
Experimental characterisation
Internal failure behavior of rubber vulcanizates under constraint conditions
E. Euchler, K. Schneider, G. Heinrich, T. Tada & H.R. Padmanathan
Investigation of time dependence of dissipation and strain induced crystallization in natural rubber under cyclic and impact loading
K. Schneider, L. Zybell, J. Domurath, G. Heinrich, S.V. Roth, A. Rothkirch & W. Ohm
The study of local deformations of stretched filled rubber surface
I.A. Morozov, R.I. Izyumov & O.K. Garishin
Experimental characterisation and modelling of the thermomechanical behaviour of foamed rubber
H. Seibert & S. Diebels
Some cautions when applying nanoindentation tests on a fluoroelastomer: Experimental researches and application
C. Fradet, F. Lacroix, G. Berton, S. Meo & E. Le Bourhis
New ideas to represent strain induced crystallisation in elastomers
K. Loos, M. Johlitz, A. Lion, L. Palgen & J. Calipel
Experimental investigation of the compression modulus at a technical EPDM, exposed to cyclic compressive hydrostatic loadings
O. Gehrmann, N.H. Kroger, P. Erren & D. Juhre
A novel algorithm: Tool to quantifying rubber blends from infrared spectrum
S. Datta, J. Antoš & R. Stoček
Influence of dissipative specimen heating on the tearing energy of elastomers estimated by global and local characterization methods
S. Dedova, K. Schneider & G. Heinrich
Crack growth under long-term static loads: Characterizing creep crack growth behavior in hydrogenated nitrile
W.V. Mars, K. Miller, S. Ba & A. Kolyshkin
Mechanical characterization under CO2 of HNBR and FKM grade elastomers for oilfield applications—effects of 10GE reinforcements
E. Laine, J.C. Grandidier, G. Benoit, F. Destaing & B. Omnes
Sequential automated time-temperature algorithm for dynamic mechanical analysis
C. Costes, F. Le Lay, E. Verron, M. Coret & J.F. Sigrist
New biaxial test method for the characterization of hyperelastic rubber-like materials
D.C. Pamplona, H.I. Weber, G.R. Sampaio & R. Velloso
Thermomechanical analysis of energy dissipation in natural rubber
J.-B. Le Cam
Investigation of crosslinking kinetics of silicone rubber/POSS nanocomposites
İ. Karaağac, G. Ozkoc & B. Karaağac
Diffusion of oils in elastomers—determination of concentration profiles
T. Forster
Mechanical characterization of highly aligned polyurethane microfibers
C.J. Tan, A. Andriyana, B.C. Ang & G. Chagnon
Sorption experiments on elastomers assisted by Gas Chromatography/Mass Spectrometry (GC/MS)
A. Blivernitz, T. Forster, S. Eibl, A. Lion & M. Johlitz
Multi-objective optimization of hyperelastic material constants: A feasibility study
S. Connolly, D. Mackenzie & T. Comlekci
Strain-induced crystallization ability of hydrogenated nitrile butadiene rubber
K. Narynbek Ulu, M. Dragičević, P.-A. Albouy, B. Huneau, A.-S. Beranger & P. Heuillet
Fracture, fatigue and lifetime prediction of rubber
Rubber reinforcing carbon fibre cord under tension and bending Part 1: Stress analysis
R. Tashiro, S. Yonezawa & C.A. Stevens
Fatigue behaviour of unidirectional carbon-cord reinforced composites and parametric models for life prediction
Y. Tao, E. Bilotti, J.J.C. Busfield & C.A. Stevens
Service life prediction under combined cyclic and steady state tearing
R.J. Windslow & J.J.C. Busfield
Impact of stress softening on tearing energy of filled rubbers as evaluated by the J-Integral
M. Wunde, J. Plagge & M. Kluppel
Influence of discontinuous thermo-oxidative ageing on the fatigue life of a NR-compound used for engine-mount application
C. Neuhaus, A. Lion, M. Johlitz, P. Heuler, M. Barkhoff & F. Duisen
Effect of filler-polymer interfacial phenomena on fracture of SSBR-silica composites
M. Alimardani & M. Razzaghi-Kashani
True stress control for fatigue life experiments of inelastic elastomers
K. Narynbek Ulu, B. Huneau, E. Verron, A.-S. Beranger & P. Heuillet
Experimental study of dynamic crack growth in elastomers
T. Corre, M. Coret, E. Verron, B. Leble & F. Le Lay
Characterising the cyclic fatigue performance of HNBR after aging in high temperatures and organic solvents for dynamic rubber seals
B.H.K. Shaw, J.J.C. Busfield, J. Jerabek & J. Ramier
Gradient damage models in large deformation
B. Crabbe, J.-J. Marigo, E. Chamberland & J. Guilie
Thermomechanical characterization of the dissipation fields around microscale inclusions in elastomers
T. Glanowski, Y. Marco, V. Le Saux, B. Huneau, C. Champy & P. Charrier
Influence of test specimen thickness on the fatigue crack growth of rubber
R. Stoček & R. Kipscholl
Fracture analysis of a rolling tire at steady state by the phase-field method
B. Yin, M.A. Garcia & M. Kaliske
Modelling and finite element analysis of cavitation and isochoric failure of hyperelastic adhesives
A. Nelson & A. Matzenmiller
The study of fatigue behavior of thermally aged rubber based on natural rubber and butadiene rubber
O. Kratina, R. Stoček, B. Musil, M. Johlitz & A. Lion
Characterization of ageing effect on the intrinsic strength of NR, BR and NR/BR blends
R. Stoček, W.V. Mars, O. Kratina, A. Machů, M. Drobilik, O. Kotula & A. Cmarova
Filler reinforcement
Non-entropic contribution to reinforcement in filled elastomers
P. Sotta, M. Abou Taha, A. Vieyres, R. Perez-Aparicio, D.R. Long, P.-A. Albouy, C. Fayolle & A. Papon
A novel reinforcement structure in tire tread compounds: Organo-modified octosilicate as additive
W.R. Cordova, J.G. Meier, D. Julve, M. Martinez & J. Perez
Stress softening
A physical interpretation for network alterations of filled elastomers under deformation: A focus on the morphology of filler–chain interactions
H. Khajehsaeid & N. Mirzaei
Rheology and processing
The evolution of viscoelastic properties of silicone rubber during cross-linking investigated by thickness-shear mode quartz resonator
A. Dalla Monta, F. Razan, J.-B. Le Cam & G. Chagnon
Special elastomers
Modeling and simulation of magnetic-sensitive elastomer immersed in surrounding medium
Q. Liu, H. Li & K.Y. Lam
A simple Mullins model applied to a constitutive model for foamed rubber
M.W. Lewis
Torsional wave propagation in tough, rubber like, doubly crosslinked hydrogel
L. Kari
Preparation of electroactive elastomers: Stress relaxation and crosslinking aspects
A. Babapour, F.A. Nobari Azar, E. Kaymazlar & M. Şen
Industrial applications
Modelling of the mechanical behaviour of elastomer seal at low temperature
J. Troufflard, H. Laurent, G. Rio & B. Omnes
FE analysis of hybrid cord-rubber composites
H. Donner & J. Ihlemann
Nanoparticles effects on the thermomechanical properties of a fluoroelastomer
D. Berthier, M.P. Deffarges, F. Lacroix, S. Meo, B. Schmaltz, N. Berton, F. Tran Van, Y. Tendron & E. Pestel
Improvement of leak tightness for swellable elastomeric seals through the shape optimization
Y. Gorash, A. Bickley & F. Gozalo
Comparison of experimental and numerical fatigue lives of rolling lobe air-springs for different diameters, inner pressures and temperatures
A. von Eitzen, U. Weltin, M. Flamm & T. Steinweger
Design issues
Computational material design of filled rubbers using multi-objective design exploration
M. Koishi, N. Kowatari, B. Figliuzzi, M. Faessel, F. Willot & D. Jeulin
Modelling of viscoelastic and hyperelastic behaviour
Isolation and damping properties of rubber-buffers
D. Willenborg & M. Kroger
Constitutive modelling of nonlinear viscoelastic behaviour for Poly (L-Lactic Acid) above glass transition
H.D. Wei, G.H. Menary, F. Buchanan & S.Y. Yan
Thermo-mechanical properties of strain-crystallizing elastomer nanocomposites
J. Plagge, T. Spratte, M. Wunde & M. Kluppel
Vibration isolators with stiffness nonlinearity using Maxwell-Voigt models
S. Kaul, S. Karimi & M. Shabanisamghabady
Calibration of advanced material models for elastomers
T. Dalrymple & A. Purgstaller
Influence of nonlinear viscoelasticity for steady state rolling
M.A. Garcia & M. Kaliske
Comparison of the implicit and explicit finite element methods in quasi-static analyses of rubber-like materials
V. Yurdabak & Ş. Ozupek
Micro-mechanical modeling of visco-elastic behavior of elastomers with respect to time-dependent response of single polymer chains
L. Khalili, V. Morovati, R. Dargazany & J. Lin
A framework for analyzing hyper-viscoelastic polymers
A.R. Trivedi & C.R. Siviour
On the influence of swelling on the viscoelastic material behaviour of natural rubber
F. Neff, A. Lion & M. Johlitz
Micro-structural theories of rubber
Electroelasticity of dielectric elastomers based on molecular chain statistics
M. Itskov, V.N. Khiem & S. Waluyo
Analytical network averaging: A general concept for material modeling of elastomers
V.N. Khiem & M. Itskov
A hyperelastic physically based model for filled elastomers including continuous damage effects and viscoelasticity
J. Plagge & M. Kluppel
A micro-mechanical model based on the hydrodynamic strain amplification in filled elastomers
E. Darabi, M. Itskov & M. Kluppel
Effect of microscopic structure on mechanical characteristics of foam rubber
A. Matsuda, S. Oketani, Y. Kimura & A. Nomoto
Three-dimensional homogenization finite element analysis of open cell polyurethane foam
S. Oketani, A. Matsuda, A. Nomoto & Y. Kimura
Derivation of full-network models with chain length distribution
E. Verron & A. Gros
Nano-mechanical modeling for rubbery materials
K. Akutagawa
Evaluation of rheological parameters for injection molding simulations
J. Meier, W. Villa-Ramirez & F. Huls
Statistical investigation of self-organization processes in filled rubber
H. Wulf & J. Ihlemann
Tyres and friction
Prediction of energy release rate in opening mode of fracture mechanics for filled and unfilled elastomers
M. El Yaagoubi, J. Meier, T. Alshuth, U. Giese & D. Juhre
Steady state and sequentially coupled thermo-mechanical simulation of rolling tires
T. Berger & M. Kaliske
Alexander Lion is Professor at the Institute of Mechanics at the University of the Bundeswehr Munich in Neubiberg, Germany.
Michael Johlitz is a postdoctorate at the Institute of Mechanics at the University of the Bundeswehr Munich, Neubiberg, Germany. He completed his PhD in 2008 at the University of the Saarland, Saarbrücken, Germany.