1st Edition

Constitutive Models for Rubber VIII

ISBN 9781138000728
Published May 30, 2013 by CRC Press
732 Pages

USD $99.95

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Book Description

Due to their unique properties, rubber materials are found in multiple engineering applications such as tires, engine mounts, shock absorbers, flexible joints, seals, etc. Nevertheless, the complex nature of the behavior of such material makes it difficult to accurately model and predict the performance of these units.

The challenge to correctly reproduce the observed characteristics of rubber elements necessitates detailed experimental investigations, development of accurate constitutive models, validation of techniques to identify material parameters and efficient numerical methods. Aspects regarding fatigue and damage in elastomers are not to be left aside, as they influence the durability of the products.

State-of-the-art technology in terms of constitutive modeling, numerical implementation, damage and fatigue resistance are strongly represented in these Proceedings, along with insights into advanced elastomers to be used in novel applications. Topics included in this volume are: Ageing, Friction and abrasion, Adhesion, Swelling, Continuum mechanical models and numerical implementation, Hyperelasticity, Micro-mechanical approaches, Fracture and fatigue, Mullins effect, Strain induced crystallization, Thermal effects, Reinforcement and vulcanization, Design and applications, Smart elastomers.

Constitutive Models for Rubber VIII is of interest not only for undergraduates, postgraduates, academics and researchers in the discipline, but also for all those design and development engineers in the industry.

Table of Contents

Invited papers

Prediction of fatigue cracks orientation in elastomers with configurational stresses
E. Verron

Magneto-sensitive elastomers—theory and applications
L. Kari

Evaluation of rubber suspension in rail vehicles—a multi functional solution?
W.J. Mortel


Oxidation effect on fracture properties of rubbers
P.-Y. Le Gac, M. Broudin, P. Davies & B. Fayolle

Ageing under preload
S. Ernst, U. Weltin & M. Flamm

Modelling naturally aged NR mouldings
S. Kamaruddin, A.H. Muhr, P.-Y. Le Gac, Y. Marco & V. Le Saux

Chemomechanically coupled finite element simulations of oxidative ageing in elastomeric components
C. Naumann & J. Ihlemann

Influence of the filler-matrix interface on ageing by γ-radiation of ATH filled EPDM
A. De Almeida, L. Chazeau, G. Vigier, G. Marque, C. Monchy-Leroy & Y. Goutille

Friction and abrasion

Hysteresis and adhesion friction of carbon based elastomer nanocomposites: Theory, experiment and applications
A. Lang & M. Klüppel

Effect of the blade sharpness on the blade abrasion of rubber
G. Wu, A.G. Thomas & J.J.C. Busfield


Adhesion effects in the contact between rubber and counterpart
M. Kröger


Effect of multiaxial mechanical loading on the swelling of rubber in biodiesel
S.Y. Ch’ng, A. Andriyana, E. Verron & R. Ahmad

Continuum mechanical models and numerical implementation

On the dynamic material behaviour of filled rubber with respect to preload and frequency
D. Wollscheid & A. Lion

Parallel rheological framework to model non-linear viscoelasticity, permanent set, and Mullins effect in elastomers
J.A. Hurtado, I. Lapczyk & S.M. Govindarajan

Modelling of the mechanical properties of rubber compounds using a two-level structuralphenomenological model
A.L. Svistkov, A.G. Pelevin, V.V. Shadrin & K.W. Stöckelhuber

Modelling of hysteresis by means of a directional approach
T. Rey, G. Chagnon, D. Favier & J.-B. Le Cam

Development of constitutive equation of filled silicone architectured membrane
M. Rebouah, G. Chagnon & D. Favier

Finite thermoviscoelastic behaviour of elastomers—Experiments, modelling and FE simulation
B. Dippel, M. Johlitz & A. Lion

Thermo-mechanical analysis of steady state rolling tires by numerical simulation and experiment
R. Behnke, I. Wollny & M. Kaliske

Thermo-visco-hyperelastic modeling of the rubber self-heating under fatigue
C.M.O. Rodas, F. Zaïri & M. Naït-Abdelaziz

Experimental and constitutive modeling of a filled rubber with emphasis on the dynamical properties
A. Delattre, S. Méo, F. Lacroix, C. Richard & S. Lejeunes

Influence of viscoelasticity on the response of rubber under tensile wave propagation
J.-C. Petiteau, E. Verron, R. Othman & H.L. Sourne

On the efficient finite element modelling of cord-rubber composites
H. Donner & J. Ihlemann

Biodegradable polymers—a new modelling approach
R. Seydewitz & M. Böl

Experimental characterization of cyclic stress–strain response and its modeling for filled SBR vulcanizates
J. Yamabe, M. Fujikawa, Y. Kodama & M. Koishi

Finite element modelisation of multiaxial mechanical and fatigue behavior of a polychloroprene rubber
J.L. Poisson, S. Méo, F. Lacroix, G. Berton & N. Ranganathan

Instrumented micro-hardness measurements used to identify the local visco-hyper-elastic parameters of Polyurethane elastomers
G. Bles, V. Le Saux, C. Castro-Lopez, B. Morvan, Y. Marco & C. Prisacariu

A Multiscale continuum damage model for cavity growth in rubberlike materials
H. Dal, B. Cansız & C. Miehe

Identification of inelastic material parameters using component-oriented specimen
D. Schellenberg, D. Juhre & J. Ihlemann


The energy limiters approach to modeling failure of rubber
K.Y. Volokh

A strain energy function for rubber-like materials
H. Khajehsaeid, R. Naghdabadi & J. Arghavani

Proposal of an anisotropic hyperelastic model considering cyclic deformation
M. Suda & A. Matsuda

Unified model for Mullins effect and high cycle fatigue life prediction of rubber materials
L. Gornet, G. Marckmann, R. Desmorat & P. Charrier

Hyperelastic constants from a modified hardness test using energy balance obtained from FE-analysis
P.-E. Austrell & A. Ahadi

Testing and validation of finite element modeling for silicone based elastomeric foam materials
P. Rangaswamy & M.W. Lewis

Toward a hyperelastic model for foamed rubber with matrix compressibility and pore gas effects
M.W. Lewis & P. Rangaswamy

Application of homogenization FEM analysis to microcellular rubbers
A. Matsuda, Y. Shinoda, R. Shimadu & O. Watanabe

Micro-mechanical approaches

Micro-mechanical model of strain-induced crystallization for filled natural rubbers
V.N. Khiêm, R. Dargazany & M. Itskov

Elasticity of colloidal clusters with application to carbon-black aggregates in filled rubbers
R. Dargazany, A. Rege & M. Itskov

Modeling of the behavior of elastomers filled by rigid particles with interfacial layers
L.A. Komar, I.A. Morozov & B. Lauke

Finite element based micro-mechanical modeling of micro-structure morphology in filler reinforced elastomer
D. Sodhani & S. Reese

The role of the rubber-filler interphase in linear viscoelasticity of SBRs filled with carbon-black nano-size particles
J. Diani, P. Gilormini, Y. Merckel & F. Vion-Loisel

Rupture of filler-filler bonds in strained elastomers: A molecular dynamics investigation
M. Klüppel, V. Froltsov & D. Juhre

A microstructure-based model for filled elastomers including time-dependent effects
D. Juhre, R. Raghunath, M. Klüppel & H. Lorenz

A nano-mechanical model for energy dissipation in filler networks
R. Hentschke

Impact of elastomer microstructure on the local mobility in linear regime
C. Souillard, J.-Y. Cavaillé, L. Chazeau & R. Schach

Coarse-grained modeling of filler concentration and structure in reinforced rubbers
H. Xi & R. Hentschke

Modeling large amplitude oscillatory shear in filled elastomers
P. Sotta, D.R. Long, S. Merabia, L. Guy, A. Papon, H. Montes & F. Lequeux

Fracture, fatigue and lifetime prediction

Fracture behavior of rubber-like materials under classical Fatigue Crack Growth vs. Chip & Cut analysis
R. Stoček, P. Ghosh, R. Mukhopadhyay, R. Kipscholl & G. Heinrich

Mechanical characterization of carbon black filled NR/BR compounds from small strains up to fracture
E. Cazzoni, R. Calabrò, C. Marano, M. Rink & G. Barbaglia

Phase field modeling of fracture in rubbery polymers
L. Schänzel, H. Dal & C. Miehe

Influence of strain-induced crystallization on the crack driving force in fracture behavior of rubber
J. Guilie & P.L. Tallec

Effect of strain-induced crystallization on fatigue crack growth resistance of natural rubber
P. Rublon, B. Huneau, E. Verron, N. Saintier & D. Berghezan

Loss of stiffness during fatigue and the development of crack precursors
W.V. Mars, M. Isasi & A. Arriaga

Fatigue crack propagation in reinforced natural rubber
C. Fayolle, O. Sanseau, J.L. Loubet & L. Vanel

Towards an accurate description of the dissipation gradients at the micro-scale to describe the basic fatigue mechanisms
I. Masquelier, Y. Marco, V.L. Saux, S. Calloch, P. Charrier & F. Rouillard

Influence of cyclic softening on the energy release rate of an edge crack under simple tension
W.V. Mars, X.Z. Cheng, H. Yang & L.Q. Zhang

Evaluation of the tearing energy in a radial tyre
T.L.M. Baumard, A.G. Thomas & J.J.C. Busfield

The equi-biaxial fatigue characteristics of EPDM under true (Cauchy) stress control conditions
M. Johnson, J. Hanley, S. Jerrams, R. Ekins & N. Murphy

Contributions of IR thermography and X-ray tomography to the fatigue characterization of elastomeric materials
Y. Marco, I. Masquelier, V.L. Saux, S. Calloch, B. Huneau & P. Charrier

Fatigue damage in carbon black filled natural rubber investigated by X-ray microtomography and scanning electron microscopy
B. Huneau, I. Masquelier, Y. Marco, O. Brzokewicz & P. Charrier

Study of fatigue behavior of rubber like materials with infrared thermography methods
C. Cruanes, G. Berton, F. Lacroix, J.L. Poisson, S. Méo & N. Ranganathan

Lifetime prediction—a unification of the fracture mechanics and the Wöhler concept
S. Robin & T. Alshuth

Mullins effect

Understanding and modelling the Mullins softening from a mechanical point of view
Y. Merckel, M. Brieu, J. Diani & J. Caillard

Modelling deformation-induced anisotropy using 1D-laws for Mullins-Effect
N. Diercks & A. Lion

Simulation of self-organization processes in filled rubber and their influence on anisotropic Mullins effect
H. Wulf & J. Ihlemann

Anisotropic modeling of the Mullins effect and the residual strain of filled silicone rubber
M. Rebouah, G. Chagnon & D. Favier

Experimental investigation of the Mullins effect in swollen elastomers
M.S. Loo, A. Andriyana, E. Verron, G. Chagnon & A.M. Afifi

Modeling the Mullins effect in swollen rubber
A.B. Chai, A. Andriyana, S.Y. Ch’ng, E. Verron & M.R. Johan

Experimental results of high damping rubber under combined compression and cyclic shear
Q.T. Nguyen, V. Tinard & C. Fond

Strain induced crystallization

Short-time behavior of strain-induced crystallization in natural rubber
K. Brüning, G. Heinrich & K. Schneider

Strain-induced crystallization in natural rubber: Kinetics and strain relaxation
P.-A. Albouy, A. Vieyres, O. Sanseau & P. Sotta

Micro-sphere model for strain-induced crystallization in rubber
J. Guilie, L.T. Nga & P.L. Tallec

Strain-induced crystallization in natural rubber: A model for the microstructural evolution
R. Laghmach, T. Biben, L. Chazeau, J.M. Chenal, E. Munch & C. Gauthier

In situ WAXS dynamic study of strain induced crystallization kinetics of synthetic and natural rubber
N. Candau, L. Chazeau, J.-M. Chenal, C. Gauthier, E. Munch & D. Thiaudière

Strain-induced crystallites and temperature-induced crystallites in poly-isoprene by 2D WAXD simulating analysis
S. Toki, J. Che, C. Burger, B.S. Hsiao, S. Amnuaypornsri & J. Sakdapipanich

Characterization of high cis-content polybutadiene compounds differing in cis-content and molecular weight distribution
C. Marano, S.H. Mohammadpoor & M. Rink

Thermal effects

On the evolution of the viscoelastic properties and their microstructural origin in a filled NBR under coupled thermal and cyclic mechanical loadings
P. Garnier, J.-B. Le Cam, M. Grédiac, M. Dubois & S. Ababou-Girard

Thermal effects accompanying the deformation of natural rubber
J.R.S. Martinez, J.-B. Le Cam, X. Balandraud, E. Toussaint & J. Caillard

Effects of temperature on the mechanical behavior of filled and unfilled silicone rubbers
T. Rey, G. Chagnon, J.-B. Le Cam & D. Favier

Thermal response of hyperelastic materials under cyclic loading conditions: Specificities and consequences for fatigue
X. Balandraud & J.-B. Le Cam

Filler effects on the thermomechanical response of stretched rubbers
J.R.S. Martinez, J.-B. Le Cam, X. Balandraud, E. Toussaint & J. Caillard

Characterization of heat sources due to deformation in unfilled natural rubber
J.R.S. Martinez, J.-B. Le Cam, X. Balandraud, E. Toussaint & J. Caillard

Reinforcement and vulcanization

Discriminating reinforcement and strain amplification effects in reinforced natural rubber elastomers
R. Pérez-Aparicio, A. Vieyres, O. Sanseau, D.R. Long, P. Sotta, L. Vanel & P.-A. Albouy

Monte-Carlo simulations for 3D modelling of rubber reinforcement
J. Ibarretxe, M. Iturrondobeitia, A. Okariz, F. Garrido, J.M. Eguzkitza, I. Lecubarri, M. Salazar & T. Guraya

The reinforcement effects of graphene oxide nanoplatelets on the mechanical and viscoelastic properties of natural rubber
D.C. Stanier, J. Ciambella, S. Rahatekar, A.J. Patil & S. Mann

Evolution of elastomers network structures during the vulcanization process as investigated by 1H low-field multiple-quantum NMR
A. González-Jiménez, M.A. Malmierca, P. Posadas, I. Mora-Barrantes, A. Marcos-Fernández, A. Rodríguez & J.L. Valentín

The effect of fillers on crosslinking, swelling and mechanical properties of peroxide-cured rubbers
L.B. Tunnicliffe, A.G. Thomas, J.J.C. Busfield & A.S. Farid

Chemical modification of conventional rubbers for advanced applications
P. Posadas, M. Alonso-Malmierca, I. Mora-Barrantes, L.M. Ibarra & J. López-Valentín

Synthetic layered silicates as synergistic filler additive for tire tread compounds
J.G. Meier, D. Julve, J. Ramos, J. Pérez, J. Coronas, M. Martínez & M. Menéndez

Design and applications

Characterization of elastomers under simultaneous tension and torsion for application to engine mounts
A.-S. Lectez, E. Verron, B. Huneau, A.-S. Béranger & F.L. Brazidec

Viscoelastic characterization at low temperature on an HNBR compound for sealing applications
F. Rouillard, P. Heuillet & B. Omnes

A methodology for the linearization of rubber models subjected to random excitation for frequency domain simulations
A. Sañudo, J. Nieto, A. Alonso & N. Gil-Negrete

A model for polymer gels based on the theory of rubber elasticity—Application to the nucleus pulposus of the intervertebral disc
V. Brulliard, E. Verron & S.L. Corre

Stress-based viscoelastic master curve construction of model tire tread compounds
S. Maghami, W. Dierkes, J.W.M. Noordermeer, T. Tolpekina, S. Schultz, C. Gögelein & C. Wrana

Rubber characterization for tire modeling
N.N. Raje & S.M. Vossberg

Evaluation of characteristics for chevron rubber spring
C.S. Woo, H.S. Park & M.C. Kwang

Anti-vibration HD unit assembly simulation and benchmark of effective usage of CPU in rubber FEA
R.K. Luo, J. Lake & W.J. Mortel

Modelling of cord-rubber composites of bellow air-springs
A.V. Eitzen, U. Weltin, T. Brüger, T. Steinweger & M. Flamm

Contact analysis of hollow rubber ball
S. Ishikawa & H. Aihara

Experimental evaluation of mechanical properties of belt conveyor with textile reinforcement and numerical simulation of its behaviour
I. Petrikova, B. Marvalova, H.S. Tuan & P. Bocko

Inflation test of orthotropic composite membrane with rubber matrix reinforced by plain weave fabric
B. Marvalova, I. Petrikova, J. Kafka & H.S. Tuan

Experimental and numerical analysis of indentation on a thermoplastic polyurethane elastomer under cyclic loading
L. Bartolomé & W. Tato

Prediction of elastomer end-stops in non-linear isolators for space applications
P. Camarasa & A. Febvre

Magneto-sensitive, ionic and electro-active elastomers Linear viscoelastic behaviour of magnetorheological elastomers
I. Agirre-Olabide, J. Berasategui, M.J. Elejabarrieta & M.M. Bou-Ali

Generating a variable uniform magnetic field suitable for fatigue testing magnetorheological elastomers using the bubble inflation method
D. Gorman, S. Jerrams, R. Ekins & N. Murphy

Realistic fatigue life prediction for magnetorheological elastomers
J. McIntyre, T. Alshuth, Y.F. Zhou, M. Johnson & S. Jerrams

The effect of microstructure on the dynamic equi-biaxial fatigue behaviour of magnetorheological elastomers
Y.F. Zhou, S. Jerrams, A. Betts & L. Chen

Development of ionic elastomers with shape memory effect
M.A. Malmierca, I. Mora-Barrantes, P. Posadas, A. González-Jiménez, A. Rodríguez, L.M. Ibarra & J.L. Valentín

Electroactive soft polyurethanes used as a smart rubbers
M.H. Jomaa, J.-Y. Cavaillé, L. Lebrun, L. Seveyrat & K. Masenelli-Varlot

Dielectric elastomer actuators for tuneable optics
H. Zahabi, G. Frediani, J.J.C. Busfield & F. Carpi

Electrical breakdown of dielectric elastomer actuator materials
B. Chen, J.J.C. Busfield, M. Stewart & M.G. Cain

The application of a carbon black filled elastomer to create a smart strain sensor
M. Huang, A.G. Thomas & J.J.C. Busfield

Author index

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