A hyperelastic constitutive model for rubber-like materials

Külcü, İsmail Doğan

doi:10.1007/s00419-019-01629-7

Cited by 16 publications

(10 citation statements)

References 18 publications

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“…Recently, Külcü (Külcü, 2020) proposed a phenomenological constitutive model that represents material behavior with a constant material parameter for the classical Treloar experimental data (Treloar, 1944). Also, experimental data of rubber by Sasso et al (Sasso, Palmieri, Chiappini, & Amodio, 2008) is successfully reproduced by the model.…”

Section: The Constitutive Modelmentioning

confidence: 99%

“…Rubber-like materials are commercially widely-used, and the characterization of their properties is therefore significant. In this contribution, the numerical implementation of a phenomenological model proposed by Külcü (Külcü, 2020) is studied. The model is first fitted to the experimental data of five different uniform deformations by Meunier et al (Meunier, Chagnon, Favier, Orgéas, & Vacher, 2008).…”

Section: Conclusion and Recommendationsmentioning

confidence: 99%

“…In the present paper, the predictive capability of the model proposed by Külcü (Külcü, 2020) for complicated finite element simulations is examined. Firstly, the experimental data of five different loading modes are reproduced by the model having a constant value of material parameters for each deformation type.…”

Section: Introductionmentioning

confidence: 99%

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Bir Fenomenolojik Yapısal Modelin Kauçuk Tipi Malzemeler İçin Sonlu Elemanlar Yöntemi Uygulaması

Külcü¹

2021

European Journal of Science and Technology

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In this paper, a finite element implementation of a recently proposed phenomenological constitutive model for rubber-like materials is represented based on the fundamentals of continuum mechanics and rubber elasticity. The phenomenological model is first fitted to the hyperelastic behavior of an unfilled silicon rubber subjected to five different uniform deformations. Then, a subroutine is written to import the model into the finite element software and an unfilled silicon rubber sheet is numerically modeled in the commercial finite element software. As performed in the experiments by Meunier et al (Meunier, Chagnon, Favier, Orgéas, & Vacher, 2008)., the rubber sheet is deformed 57.2 mm along the vertical axes in the simulations. Good agreement between the numerical model and experimental data is obtained.

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Section: The Constitutive Modelmentioning

confidence: 99%

Section: Conclusion and Recommendationsmentioning

confidence: 99%

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Bir Fenomenolojik Yapısal Modelin Kauçuk Tipi Malzemeler İçin Sonlu Elemanlar Yöntemi Uygulaması

Külcü¹

2021

European Journal of Science and Technology

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“…Two additional parameters were introduced in the correction term, i.e., the global interaction factors

and

, which can characterize the interaction effect between the components inside the filled rubber. The exponential strain energy density has been proved to have the comparatively high ability to reflect the mechanical behavior [ 9 , 21 , 22 , 23 , 24 ]. Based on the relationship between the Helmholtz free energy change and the total entropy change of the chain per unit volume, the strain energy density function of the new model can be obtained as follows:

…”

Section: Hyperelastic Constitutive Model Of Rubber Materialsmentioning

confidence: 99%

Ability of Constitutive Models to Characterize the Temperature Dependence of Rubber Hyperelasticity and to Predict the Stress-Strain Behavior of Filled Rubber under Different Defor Mation States

Wang

2021

Polymers

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In this paper, some representative hyperelastic constitutive models of rubber materials were reviewed from the perspectives of molecular chain network statistical mechanics and continuum mechanics. Based on the advantages of existing models, an improved constitutive model was developed, and the stress–strain relationship was derived. Uniaxial tensile tests were performed on two types of filled tire compounds at different temperatures. The physical phenomena related to rubber deformation were analyzed, and the temperature dependence of the mechanical behavior of filled rubber in a larger deformation range (150% strain) was revealed from multiple angles. Based on the experimental data, the ability of several models to describe the stress–strain mechanical response of carbon black filled compound was studied, and the application limitations of some constitutive models were revealed. Combined with the experimental data, the ability of Yeoh model, Ogden model (n = 3), and improved eight-chain model to characterize the temperature dependence was studied, and the laws of temperature dependence of their parameters were revealed. By fitting the uniaxial tensile test data and comparing it with the Yeoh model, the improved eight-chain model was proved to have a better ability to predict the hyperelastic behavior of rubber materials under different deformation states. Finally, the improved eight-chain model was successfully applied to finite element analysis (FEA) and compared with the experimental data. It was found that the improved eight-chain model can accurately describe the stress–strain characteristics of filled rubber.

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“…Assuming the polyacrylamide network is purely elastic [ 15 ], a hyperelastic model can be used to produce its mechanical behavior.

is thus given by [ 42 ]

where

and

are the first and second invariants of the right Cauchy-Green deformation tensor, respectively,

is the shear modulus,

is the scalar material parameter and

Introducing the number of polymer chains in the alginate network

is expressed as

…”

Section: Constitutive Modelingmentioning

confidence: 99%

A Constitutive Model for Alginate-Based Double Network Hydrogels Cross-Linked by Mono-, Di-, and Trivalent Cations

Külcü¹

2020

Gels

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In this contribution, a micro-mechanically based constitutive model is proposed to describe the nonlinear inelastic rubber-like features of alginate-based double network hydrogel cross-linked via various counterions. To this end, the lengthening of the polysaccharide polymer chain after a fully stretched state is characterized. A polymer chain is firstly considered behaving entropically up to the fully stretched state. Then, enthalpic behavior is accounted for concerning the following lengthening. To calculate enthalpic behavior, the macroscopic material properties, such as elastic modulus, are integrated into the proposed model. Thus, a new energy concept for a polymer chain is proposed. The model is constituted by the proposed energy concept, the network decomposition model, the Arruda–Boyce eight chain model and the network alteration theory. The model is compared against the cyclic tensile test data of alginate-based double network hydrogels cross-linked via mono-, di-, and trivalent cations. Good agreement between the model and experiments is obtained.

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A hyperelastic constitutive model for rubber-like materials

Cited by 16 publications

References 18 publications

Bir Fenomenolojik Yapısal Modelin Kauçuk Tipi Malzemeler İçin Sonlu Elemanlar Yöntemi Uygulaması

Bir Fenomenolojik Yapısal Modelin Kauçuk Tipi Malzemeler İçin Sonlu Elemanlar Yöntemi Uygulaması

Ability of Constitutive Models to Characterize the Temperature Dependence of Rubber Hyperelasticity and to Predict the Stress-Strain Behavior of Filled Rubber under Different Defor Mation States

A Constitutive Model for Alginate-Based Double Network Hydrogels Cross-Linked by Mono-, Di-, and Trivalent Cations

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