Linearized behavior of a dissipative rubber with large static preloads

Lejeunes, Stéphane; Van, Tien An Nguyen; Boukamel, Adnane; Eyheramendy, Dominique

doi:10.1016/j.compstruc.2012.01.006

Cited by 2 publications

(3 citation statements)

References 21 publications

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“…The linearization of the Zener model is classic. For example, Lion [28], Haupt et al [29], Lejeunes et al [26] proposed linearization of this model, more or less enriched. The linearization of the Poynting-Thomson model is more original.…”

Section: Linearizationmentioning

confidence: 99%

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Influence of large strain preloads on the viscoelastic response of rubber-like materials under small oscillations

Lectez

Verron

2016

International Journal of Non-Linear Mechanics

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The viscoelastic response predicted by linearized internal variables models in the case of small oscillations superimposed on a large static preload is investigated, comparing simple forms of the Zener and the Poynting-Thomson models. It is shown that both of them predict a preload dependency of the equilibrium linearized stress, but only the latter take into account such a dependency on the out-ofequilibrium part. Yet, the Zener model is much more frequently linearized as the Poynting-Thomson model. The formulation of each model for finite deformations is quickly reminded, before linearizing them around a large static preload. Finally, a comparison of the influence of preload on each model is proposed for uniaxial extension, before discussing which kind of model has to be chosen regarding theoretical and practical aspects.

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Section: Linearizationmentioning

confidence: 99%

“…Several authors have exploited this advantage in the context of linearization around a large preload. For example, Reese and Govindjee [23], Haupt and Sedlan [24], Amin et al [25], Lejeunes et al [26] studied linearized Zener-like models. In the present paper, it is chosen to focus on linearization of internal variable models.…”

Section: Introductionmentioning

confidence: 99%

Influence of large strain preloads on the viscoelastic response of rubber-like materials under small oscillations

Lectez

Verron

2016

International Journal of Non-Linear Mechanics

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“…Classically, viscoelastic models are derived from two approaches, namely integral and internal variables approaches. So, many models have been proposed for large strain viscoelasticity and their numerical implementation in finite elements (FE) [14,34,35,[43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58] to mention a few. Furthermore, the response of soft materials and biological tissues can be strain-rate dependent; the Helmholtz free energy function is written in terms of external thermodynamic state variables.…”

Section: Introductionmentioning

confidence: 99%

Modeling Payne effect on basis of linearization of a visco-hyperelastic model

Bouzidi¹,

Bechir²

2022

Modelling Simul. Mater. Sci. Eng.

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The present work concerns the modeling of the Payne effect in nonlinear viscoelasticity. This effect is a characteristic property of filled elastomers. Indeed, under cyclic loading of increasing amplitude, a decrease is shown in the storage modulus and a peak in the loss modulus. In this study, the Payne effect is assumed to arise from a change of the material microstructure, i.e., the thixotropy. The so-called intrinsic time or shift time was inferred from solving a differential equation that represents the evolution of a material's microstructure. Then, the physical time is replaced by the shift time in the framework of a recent fractional visco-hyperelastic model, which was linearized in the neighborhood of a static pre-deformation. As a result, we have investigated the effects of static pre-deformation, frequency, and magnitude of dynamic strain on storage and loss moduli in the steady state. Thereafter, the same set of parameters identified from the complex Young's modulus was used to predict the stress in the pre-deformed configuration. Finally, it is demonstrated that the proposed model is reasonably accurate in predicting Payne effect.

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Linearized behavior of a dissipative rubber with large static preloads

Cited by 2 publications

References 21 publications

Influence of large strain preloads on the viscoelastic response of rubber-like materials under small oscillations

Influence of large strain preloads on the viscoelastic response of rubber-like materials under small oscillations

Modeling Payne effect on basis of linearization of a visco-hyperelastic model

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