The role of the rubber-filler interphase in linear viscoelasticity of SBRs filled with carbon-black nano-size particles

doi:10.1201/b14964-53

Cited by 4 publications

(5 citation statements)

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“…In a first step, the assumptions for the Helmholtz energy and the dissipation potential can be extended in order to simulate further effects occurring in filled and unfilled rubbers. Some important topics in this context would be the Mullins effect, a deformation state beyond the elastic limit, induced anisotropy, the Gough-Joule effect, and heat conduction [73,74]. In addition, the model proposed can be coupled to the phase-field approach in order to represent the biphasic nature of material better.…”

Section: Discussionmentioning

confidence: 99%

Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Aygün

Klinge

2020

Polymers

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The present contribution deals with the thermomechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon significantly influences mechanical and thermal properties of polymers and has to be taken into consideration when planning manufacturing processes as well as applications of the final product. In order to simultaneously capture both kinds of effects, the model proposed starts by introducing a triple decomposition of the deformation gradient and furthermore uses thermodynamic framework for material modeling based on the Coleman–Noll procedure and minimum principle of the dissipation potential, which requires suitable assumptions for the Helmholtz free energy and the dissipation potential. The chosen setup yields evolution equations which are able to simulate the formation and the degradation of crystalline regions accompanied by the temperature change during a cyclic tensile test. The boundary value problem corresponding to the described process includes the balance of linear momentum and balance of energy and serves as a basis for the numerical implementation within an FEM code. The paper closes with the numerical examples showing the microstructure evolution and temperature distribution for different material samples.

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Section: Discussionmentioning

confidence: 99%

Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Aygün

Klinge

2020

Polymers

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“…Lorenz [65,66] suggested a broader generalization of the framework. Juhre and Raghunath [67,68] extended this model further to also include time-dependent effects.…”

Section: Nonlinear Viscoelastic Modelsmentioning

confidence: 99%

Limitations of Viscoelastic Constitutive Models for Carbon-Black Reinforced Rubber in Medium Dynamic Strains and Medium Strain Rates

et al. 2018

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Modelling the viscoelastic behavior of rubber for use in component design remains a challenge. Most of the literature does not consider the typical regimes encountered by anti-vibration devices that are deformed to medium dynamic strains (0.5 to 3.5) at medium strain rates (0.5/s to 10/s). Previous studies have either focused on the behaviour at small strains and small strain rates or in fast loading conditions that result in low cycle fatigue or tearing phenomena. There is a lack of understanding of the dynamic response of natural rubber suspension components when used in real vehicle applications. This paper presents a review of popular viscoelastic nonlinear constitutive models and their ability to model the mechanical behaviour of typical elastomer materials such as Natural Rubber (NR) incorporating different PHR (Parts per Hundred Rubber, XX) of carbon black. The range of strain and strain rate are typical for the materials used in rubber suspensions when operating in severe service operating conditions, such as over rough terrain or over pot-holes. The cyclic strain is applied at different amplitudes and different strain rates in this medium strain range. Despite the availability of many models in the literature, our study reports that none of the existing models can fit the data satisfactorily over a wide range of conditions.

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“…Several extensions of this model were proposed (see e.g. Lorenz and Klüppel, 2012;Juhre et al, 2013). A theory of the breakage of links is used as a basis in Marckmann et al (2002) and Chagnon et al (2006).…”

Section: Introductionmentioning

confidence: 99%

On the thermodynamics of pseudo-elastic material models which reproduce the M ullins effect

Naumann

Ihlemann

2015

International Journal of Solids and Structures

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a b s t r a c tThis work focuses on the thermodynamics of pseudo-elastic material models which represent the MULLINS effect. Two established models are analyzed theoretically, their thermomechanical properties are derived, and certain disadvantageous points are identified. These findings are used to deduce an alternative approach to deviate pseudo-elasticity. This is achieved by defining a suitable free energy which imposes conditions on the stress tensor and the dissipation using the CLAUSIUS-DUHEM inequality. The concept of pseudo-elasticity is then generalized to extend arbitrary thermomechanical, even inelastic, material models to allow for softening effects. Under weak assumptions on the softening function the thermomechanical consistency is shown.

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The role of the rubber-filler interphase in linear viscoelasticity of SBRs filled with carbon-black nano-size particles

Cited by 4 publications

References 1 publication

Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Thermomechanical Modeling of Microstructure Evolution Caused by Strain-Induced Crystallization

Limitations of Viscoelastic Constitutive Models for Carbon-Black Reinforced Rubber in Medium Dynamic Strains and Medium Strain Rates

On the thermodynamics of pseudo-elastic material models which reproduce the M ullins effect

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