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Lee, Jeong-Hak; Kim, Kwang‐Joon

doi:10.1023/a:1017996207164

Cited by 10 publications

(1 citation statement)

References 9 publications

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“…Consequently, the loss modulus does not depend on the pre-stretch. This result seems not to be consistent with experimental results [32][33][34][35][36][37]. Recently, Narayan and Palade [38] have noticed a similarity between the behaviors of thixotropic fluids and filled elastomers.…”

Section: Introductionmentioning

confidence: 58%

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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Section: Introductionmentioning

confidence: 58%

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

Bouzidi¹,

Bechir²

2022

Modelling Simul. Mater. Sci. Eng.

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Modeling of Non-Linear Viscoelastic Behavior of Filled Rubbers

Marković¹,

Marinović‐Cincović

Jovanović³

et al. 2014

Non-Linear Viscoelasticity of Rubber Composites and Nanocomposites

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Memory decay rates of viscoelastic solids: not too slow, but not too fast either

2011

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Fading memory is a distinguishing characteristic of viscoelastic solids. Its assessment is often achieved by measuring the stress due to harmonic strain histories at different frequencies: from the experimental point of view, the storage and loss moduli are, hence, introduced.On the other side, the mathematical modeling of viscoelastic materials is usually based on the consideration of a kernel function whose decay rate is sufficiently fast. For several different solid materials, we have collated experimental evidence showing an high sensitivity to frequency variations of both the storage and loss moduli. By contrast, we prove that the commonly employed viscoelastic kernels (Prony series, continuous kernel, etc.) cannot reproduce this experimental behavior, as the resulting frequency sensitivity of the storage modulus is always zero when assessed at low frequency. This leads to identification problems of the material parameters which are strongly ill conditioned. However,we identify the specific kernel property which is responsible for this misbehavior: the long-term material memory must not decrease too fast. Some viscoelastic kernels, showing the correct memory’s rate of decay, are introduced and their improved ability to match the experimental data analyzed

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Cited by 10 publications

References 9 publications

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

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

Modeling of Non-Linear Viscoelastic Behavior of Filled Rubbers

Memory decay rates of viscoelastic solids: not too slow, but not too fast either

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