Viscoelastic properties of a silica-filled styrene-butadiene rubber under uniaxial tension

Анискевич, К.; Starkova, Olesja; Jansons, J.; Aniskevich, Andrey

doi:10.1007/s11029-010-9154-x

Cited by 10 publications

(15 citation statements)

References 13 publications

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“…Experimental studies on stress relaxation in rubber suggest that the lowest time constant associated with relaxation is of the order of 1 s or higher (e.g. [3,5,24]). Hence, in the present context, τ = 1.0 s was applied, whereas and μ v were adjusted such that J tip = 1.0 kJ/m 2 and J ff equalled the measured energy release rate from the experiments.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Dynamic steady-state analysis of crack propagation in rubber-like solids using an extended finite element method

Kroon

2011

Comput Mech

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In the present study, a computational framework for studying high-speed crack growth in rubber-like solids under conditions of plane stress and steady-state is proposed. Effects of inertia, viscoelasticity and finite strains are included. The main purpose of the study is to examine the contribution of viscoelastic dissipation to the total work of fracture required to propagate a crack in a rubber-like solid. The computational framework builds upon a previous work by the present author (Kroon in Int J Fract 169:49-60, 2011). The model was fully able to predict experimental results in terms of the local surface energy at the crack tip and the total energy release rate at different crack speeds. The predicted distributions of stress and dissipation around the propagating crack tip are presented. The predicted crack tip profiles also agree qualitatively with experimental findings.

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Section: Numerical Resultsmentioning

confidence: 99%

“…However, the dissipation Q must be integrated over the load history, which in the present steady-state analysis is translated into a line integral, see Eq. (32) 3 . This line integral is approximated as…”

Section: Numerical Evaluation Of the J -Integralmentioning

confidence: 99%

Dynamic steady-state analysis of crack propagation in rubber-like solids using an extended finite element method

Kroon

2011

Comput Mech

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“…Investigation of creep and creep recovery processes in the materials 8 showed that their Figure 3 Calculated strain amplification factor as a function of stretch ratio for three loading-unloading cycles of rubber filled with surface untreated particles for c ¼ 0.208. deformational properties are viscoelastic. For creep recovery, the stretch ratio decreases with time t in accordance with the law…”

Section: Discussionmentioning

confidence: 99%

“…To evaluate the viscoelastic properties, the first part of the investigation was devoted to the analysis of creep and creep recovery test results. 8 This allowed us to describe the response to loadingunloading cycles with constant stretch ratio starting from the second cycle, i.e., after the Mullins effect was removed. In the present article, to find out the matrix and filler network parameters as functions of filler volume content and evaluate the changes of filler network structure during stretching of the material, the stress-stretch ratio curves up to failure are analyzed by using the mechanical model proposed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Deformational properties of filled rubber under quasistatic loading

Анискевич

Starkova

Aniskevich

2011

J of Applied Polymer Sci

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To go ahead in understanding the nature of rubber reinforcement and evaluate the kinetics of filler clusters destruction during stretching of filled rubber, the styrene-butadiene rubber both unfilled and filled with various contents of silica particles with and without surface treatment was tested under quasistatic loading up to failure. The Klueppel-Schramm model was used for description of strain softening, evaluation of both the rubber and filler network parameters as the functions of the filler volume content. It was found that an elastic modulus as a function of filler volume content follows Guth-Gold equation, confirming the hydrodynamic nature of the rubber reinforcement; the effectiveness factor depends on filler surface treatment. Hydrodynamic amplification factor increases with increase of filler volume content, its value depends on filler particles surface treatment. The decrease of hydrodynamic amplification factor during stretching correlates with the increase of viscoelastic strain. Taking into account the viscoelastic strain improves the description of the stress-strain response of filled rubber for loading-unloading process with the parameters obtained for active loading.

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“…The same type of equation applies also to the shear modulus relaxation

G true(t true)

or to any other stress or strain relaxation occurring in cross‐linked systems. The Chasset–Thirion (CT) equation has been widely used to describe power law stress relaxation in unfilled cross‐linked polymers or elastomers . Values of m ranging between 0.1 and 0.3 are generally reported.…”

Section: Introductionmentioning

confidence: 99%

Experimental clues of soft glassy rheology in strained filled elastomers

Ehrburger‐Dolle

Morfin

Bley

et al. 2014

J Polym Sci B Polym Phys

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International audienceTensile stress-relaxation measurements have been performed on a series of cross-linked filled elastomers. The fillers are chosen in order to investigate the effect of the filler-filler and the filler-matrix interactions on the time dependence of the tensile relaxation modulus E(t) after UP and DOWN jumps. For the carbon black filled sample (strong filler-elastomer interaction) E(t) decreases as log(t) when the strain epsilon is strictly larger than 0.2 and reached by UP jumps. For the silica filled samples in the same conditions, and for all samples after a DOWN jump including epsilon = 0.2, the experimental data can be fitted with a power law equation characterized by the exponent m. Thus, in all cases, |dE(t)⁄dt| scales as t^(-α) with α=m+1. Pertinence of the Soft Glassy Rheology (SGR) model for interpreting the present results is examined. It is shown that α could be equivalent to the effective noise temperature x and related to the polymer chain mobility

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Viscoelastic properties of a silica-filled styrene-butadiene rubber under uniaxial tension

Cited by 10 publications

References 13 publications

Dynamic steady-state analysis of crack propagation in rubber-like solids using an extended finite element method

Dynamic steady-state analysis of crack propagation in rubber-like solids using an extended finite element method

Deformational properties of filled rubber under quasistatic loading

Experimental clues of soft glassy rheology in strained filled elastomers

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