Comparison of Hyperelastic Models for Rubber-Like Materials

Marckmann, Gilles; Verron, Erwan

doi:10.5254/1.3547969

Cited by 554 publications

(339 citation statements)

References 41 publications

(52 reference statements)

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“…All the models have been verified by experiment results, for example Treloar's experiment [6], and the Ogden model breaks through the limitation of the strain energy function being the even power of the stretches, which is capable of more accurately fitting the experimental data when rubbers undergo extremely large deformations. Comparisons of the performances of 20 hyperelastic models are presented in the article from Marckmann and Verron [7]. More detailed reviews on the hyperelasticity of rubber can be accessed in several literatures [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Parameter Identification Methods for Hyperelastic and Hyper-Viscoelastic Models

Wang

2016

Applied Sciences

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Abstract:In this paper, the Ogden model is employed to characterize the hyperelastic properties of rubber, and on the basis of a pattern search algorithm and the Levenberg-Marquardt algorithm, a professional method that can realize the comprehensive fitting of the uniaxial tension, biaxial tension, planar tension, and simple shear experimental data of hyperelastic materials was developed. The experiment data from Treloar (1944) was fitted very well, and the determined parameters by using this method were proven correct and practical in the numerical verification in ANSYS. Then, the constitutive model of the hyper-viscoelastic materials combining the Ogden model with the generalized Maxwell model was explained in detail, and the parameter identification method was also proposed by using the pattern search method. Then, three groups of relaxation tests of uniaxial tension and four groups of simple shear tests with different loading velocities were conducted to obtain the corresponding virtual experiment data. After discussing the constraints and initial setting values for the undetermined parameters, these virtual data of different loading histories were respectively employed to identify the parameters in the hyper-elastic model, and the accuracy and the reliability of the estimated parameters were also verified in ANSYS.

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Section: Introductionmentioning

confidence: 99%

Parameter Identification Methods for Hyperelastic and Hyper-Viscoelastic Models

Wang

2016

Applied Sciences

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“…Also influence of different parameters such as initial maximum amplitude and aspect ratio on non-dimesional nonlinear frequency is studied. Geometric and material (Marckmann and Verron, 2006) properties are presented as: …”

Section: Resultsmentioning

confidence: 99%

“…Hyper-elastic models are classified into three types of formulation, depending on the approach followed by the authors to develop the strain energy function (Marckmann and Verron, 2006): We use two hyper-elastic models for deriving the governing equation, Neo-Hookean model from the third type with one constant and Yeoh model from the first type with three constants. In both cases, the geometric nonlinearity of fixed-fixed micro-beam is modelled with Von-Karman formula but material nonlinearity is introduced with related hyper-elastic models.…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Study Neo-Hookean and Yeoh Hyper-Elastic Models in Dielectric Elastomer-Based Micro-Beam Resonators

Barforooshi

Mohammadi

2016

Lat. Am. j. solids struct.

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Micro-bridge resonator with dielectric elastomer that is sandwiched between two electrodes is studied here with geometric and material nonlinearity. Geometric nonlinearity is introduced with Von-Karman strain-displacement relationship. For material nonlinearity that is modeled rarely in articles, two hyper-elastic models are used here. Governing equation of motion for Neo-Hookean and Yeoh models are derived through Hamilton's principle. These equations show that Neo-Hookean is not a suitable model for this case because of inadequate terms, but the Yeoh one is. Governing equation in Yeoh model is solved by analytical Lindstedt-Poincare method. Time history of micro-beam is presented in different modes and it is shown good agreement with numerical method. It is seen that increasing of mode number leads to increasing of frequency. In addition, the influence of different parameters on nonlinear normalized frequency is illustrated.

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“…First order phenomenological models were evaluated which consider changes in stiffness based on the strain energy density ( ) of the material. The Ogden, Mooney-Rivlin and Neo Hookean have been widely used in literature to describe incompressible, hyperelastic materials (Marckmann & Verron, 2006;Ali et al, 2010) and were evaluated for each material. The Ogden model (Ogden, 1972) is a commonly used hyperelastic model to describe the material behaviour of soft solids that are both isotropic and incompressible.…”

Section: Hyperelasticitymentioning

confidence: 99%

“…The Neo-Hookean model (Treloar, 1943) is a first order reduced polynomial. It is the simplest hyperelastic constitutive equation for describing rubber behaviour with only one material parameter 10 , and is often used when material data is insufficient (Marckmann & Verron, 2006). …”

Section: Hyperelasticitymentioning

confidence: 99%

Development of novel synthetic muscle tissues for sports impact surrogates

Payne

Mitchell

Bibb

et al. 2015

Journal of the Mechanical Behavior of Biomedical Materials

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Impact injuries are commonplace in sport and often lead to performance detriment and debilitation. Personal Protective Equipment (PPE) is prescribed as a mandatory requirement in most sports where these impacts are likely to occur, though the methods of governance and evaluation criteria often do not accurately represent sports specific injury scenarios. One of the key shortcomings of such safety test standards is the human surrogate to which the PPE is affixed; this typically embodies unrepresentative geometries, masses, stiffness and levels of constraint when compared to humans.A key aspect of any human surrogate element is the simulant material used. Most previous sports specific surrogates tend to use off-the-shelf silicone blends to represent all the soft tissue structures within the human limb segment or organ; this approach potentially neglects important human response phenomena caused by the different tissue structures.This study presents an investigation into the use of bespoke additive cure Polydimethysiloxane (PDMS) silicone blends to match the reported mechanical properties of human relaxed and contracted skeletal muscle tissues. The silicone simulants have been tested in uniaxial compression through a range of strain rates and fit with a range of constitutive hyperelastic models (Mooney Rivlin, Ogden and Neo Hookean) and a viscoelastic Prony series.

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Comparison of Hyperelastic Models for Rubber-Like Materials

Cited by 554 publications

References 41 publications

Parameter Identification Methods for Hyperelastic and Hyper-Viscoelastic Models

Parameter Identification Methods for Hyperelastic and Hyper-Viscoelastic Models

Study Neo-Hookean and Yeoh Hyper-Elastic Models in Dielectric Elastomer-Based Micro-Beam Resonators

Development of novel synthetic muscle tissues for sports impact surrogates

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