Modelling of Elastomeric Bearings with Application of Yeoh Hyperelastic Material Model

Gajewski, Marcin; Szczerba, Radosław; Jemioło, Stanisław

doi:10.1016/j.proeng.2015.07.080

Cited by 46 publications

(19 citation statements)

References 6 publications

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“…The comparison of constitutive material models in ANSYS program were evaluated by Pseudo R-squared method which can be calculated with Eq. (15).…”

Section: Accuracy Of Finite Element Materials Modelsmentioning

confidence: 99%

“…The FE results of loads and displacements relationship correlated well with the experimental data. Gajewski, Szczerba and Jemiolo [15] modelled the elastomeric bridge bearing with the steel reinforcement subjected to compressive and shear loadings in ABAQUS program. The Neo-Hookean and Yeoh material models were used to curve fitting both uniaxial tension and simple shear test data to evaluate the most suitable material model.…”

Section: Introductionmentioning

confidence: 99%

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PDMS Material Models for Anti-fouling Surfaces Using Finite Element Method

Thanakhun¹,

Puttapitukporn²

2019

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Ecofriendly anti-fouling surfaces are usually produced by lithographic techniques which will fabricate micropillar-like surfaces made of low surface energy materials such as Polydimethylsiloxane (PDMS). The purposes of this research were to investigate the most suitable Polydimethylsiloxane (PDMS) material model available in ANSYS APDL program to simulate structural behaviors of micropillars subjected to shear loading and to develop micropillar with improved lateral strength. In this research, PDMS material models were derived from experimental data from uniaxial tensile test. The accuracies of the PDMS material models, which were the Neo-Hookean, Mooney-Rivlin 3 and 5 parameters, Ogden (1, 2, 3 terms), Yeoh (1 st , 2 nd , 3 rd order) and Arruda-Boyce material models, were evaluated and compared to experimental data from uniaxial tensile test and punch-shear test. Moreover, micropillars made of a pure PDMS and a Polyurethane Acrylate (PUA) core coated with PDMS were studied to compare their lateral strength under shear loading. We found that the most accurate material model to simulate both the uniaxial tension and shear loading was the Yeoh 3rd order material model; however, these accuracies would valid for small strain range. The lateral strength of a micropillar made of PUA core coated with PDMS was 8.67time of the one made of pure PDMS. The optimal coating thickness was 100 nm because of its lateral strength and manufacturing cost.

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“…The comparison of constitutive material models in ANSYS program were evaluated by Pseudo R-squared method which can be calculated with Eq. (15).…”

Section: Accuracy Of Finite Element Materials Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

PDMS Material Models for Anti-fouling Surfaces Using Finite Element Method

Thanakhun¹,

Puttapitukporn²

2019

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“…[ 1–6 ] The main property of medical silicone (mostly polydimethylsiloxane, PDMS) is its potential mechanical similitude with human tissues and its biocompatibility. [ 7,8 ] Young's modulus of all Human tissues is included in the range of 10 kPa to 10 MPa. [ 9,10 ] Above 1 MPa, it corresponds to cartilaginous tissues (trachea, esophagus, muscles…) [ 11–13 ] and under 100 kPa are very soft tissues [ 14–16 ] as prostate, skin, liver….…”

Section: Introductionmentioning

confidence: 99%

An Emulsion Approach to Resolve the Paradox of 3D Printing of Very Soft Silicones

Perrinet

Courtial

Colly

et al. 2020

Adv Materials Technologies

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3D printing of silicone has been a challenge for medical applications for several years. The main property of medical silicone (mostly polydimethylsiloxane) is its mechanical similitude with human tissues. The very soft tissues as prostate, skin, liver, etc, are of Young's modulus lower than 100 kPa. 3D printing for such soft materials is not as obvious as printing thermoplastic polymers. In this work, the goal is to elaborate formulations of room‐temperature‐vulcanizing (RTV) silicone leading to final materials of Young's modulus down to 25 kPa while being processable by liquid deposition modeling, a layer by layer deposit of extruded filament. The main challenge is keeping the material with a sufficient firmness during the process to maintain the shape of the object but without increasing its final rigidity. Therefore, a RTV silicone is mixed with a hydrophilic liquid to create an emulsion of high yield stress behavior. Different emulsions are tested to optimize the composition on the basis of rheological measurements carried out to determine the yield stress variation and compare it to an emulsion model. Then, after printing and curing, the hydrophilic liquid is removed to create a material of fine porosity and consequently of low Young's modulus.

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“…Yeoh model contains only one invariant but with a second-order term. It is not complicated but can correctly predict the behavior of elastomer material in the range of a greater extent of deformation than the Mooney–Rivlin model [Gajewski et al (2015)], and is able to characterize the stiffening phenomenon of vulcanized rubber. The HGO model is designed to model collagen fiber-reinforced biological materials.…”

Section: Introductionmentioning

confidence: 99%

A General Approach to Derive Stress and Elasticity Tensors for Hyperelastic Isotropic and Anisotropic Biomaterials

Cheng

Zhang

2018

Int. J. Comput. Methods

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Hyperelastic models are of particular interest in modeling biomaterials. In order to implement them, one must derive the stress and elasticity tensors from the given potential energy function explicitly. However, it is often cumbersome to do so because researchers in biomechanics may not be well-exposed to systematic approaches to derive the stress and elasticity tensors as it is vaguely addressed in literature. To resolve this, we present a framework of a general approach to derive the stress and elasticity tensors for hyperelastic models. Throughout the derivation we carefully elaborate the differences between formulas used in the displacement-based formulation and the displacement/pressure mixed formulation. Three hyperelastic models, Mooney–Rivlin, Yeoh and Holzapfel–Gasser–Ogden models that span from first-order to higher order and from isotropic to anisotropic materials, are served as examples. These detailed derivations are validated with numerical experiments that demonstrate excellent agreements with analytical and other computational solutions. Following this framework, one could implement with ease any hyperelastic model as user-defined functions in software packages or develop as an original source code from scratch.

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Modelling of Elastomeric Bearings with Application of Yeoh Hyperelastic Material Model

Cited by 46 publications

References 6 publications

PDMS Material Models for Anti-fouling Surfaces Using Finite Element Method

PDMS Material Models for Anti-fouling Surfaces Using Finite Element Method

An Emulsion Approach to Resolve the Paradox of 3D Printing of Very Soft Silicones

A General Approach to Derive Stress and Elasticity Tensors for Hyperelastic Isotropic and Anisotropic Biomaterials

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