Behavior characterization of visco-hyperelastic models for rubber-like materials using genetic algorithms

López-Campos, José A.; Segade, Abraham; Fernández, José R.; Casarejos, E.; Vilán, José Antonio Vilán

doi:10.1016/j.apm.2018.08.031

Cited by 11 publications

(3 citation statements)

References 28 publications

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“…The Kelvin–Voigt model is used to consider the viscoelastic properties of the material [ 43 ]. Additionally, other models such as Zener and mixing linear viscoelasticity and nonlinear elasticity (as has been done in this paper) have been used by other researchers [ 49 , 50 ]. In this type of time-dependent modeling for stress–strain, a spring and a damper are placed in parallel, which can be seen in Figure 2 .…”

Section: Viscoelastic Propertymentioning

confidence: 99%

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

2022

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In this paper, an annular/circular plate made of hyperelastic material and considering the viscoelastic property was investigated based on a novel nonlinear elasticity theory. A new approach for hyperelastic materials in conjunction with the Kelvin–Voigt scheme is employed to obtain the structure’s large deformation under uniform transverse loading. The constitutive equations were extracted using the energy method. The derived partial differential time-dependent equations have been solved via the semi-analytical polynomial method (SAPM). The obtained results have been validated by ABAQUS software and the available paper. In consequence, a good agreement between the results was observed. Finally, several affecting parameters on the analysis have been attended to and studied, such as the nonlinear elasticity analysis, the boundary conditions, loading, and the material’s viscosity. It can be possible to obtain the needed time for achieving the final deformation of the structure based on the applied analysis in this research.

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Section: Viscoelastic Propertymentioning

confidence: 99%

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

2022

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“…Chen et al reported strain-induced crystallization of natural rubber by biaxial stretching [ 38 ]. Lopez-Campos et al represented a viscoelastic model of rubber-like materials using a classical hyperelastic model (Mooney–Rivlin) coupled with a nonlinear viscous part involving both strain and time dependence [ 39 ]. Sadeg et al reported that the failure of polymers at the macroscopic level under biaxial elongation is a consequence of the presence of internal defects [ 40 ].…”

Section: Introductionmentioning

confidence: 99%

Calculation of Strain Energy Density Function Using Ogden Model and Mooney–Rivlin Model Based on Biaxial Elongation Experiments of Silicone Rubber

2023

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Strain energy density functions are used in CAE analysis of hyperelastic materials such as rubber and elastomers. This function can originally be obtained only by experiments using biaxial deformation, but the difficulty of such experiments has made it almost impossible to put the function to practical use. Furthermore, it has been unclear how to introduce the strain energy density function necessary for CAE analysis from the results of biaxial deformation experiments on rubber. In this study, parameters of the Ogden and Mooney–Rivlin approximations of the strain energy density function were derived from the results of biaxial deformation experiments on silicone rubber, and their validity was verified. These results showed that it is best to determine the coefficients of the approximate equations for the strain energy density function after 10 cycles of repeated elongation of rubber in an equal biaxial deformation state, followed by equal biaxial elongation, uniaxial constrained biaxial elongation, and uniaxial elongation to obtain these three stress–strain curves.

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“…Hyperplastic material models including Mooney-Rivlin, Yeoh, Ogden, Humphrey, Martins and Veronda-Westmann were selected to use an inverse method to fit the experimental uniaxial data of nano-composite material. Hyperplastic parameters of polymer Nafion® are normally determined by plotting the experimental data of stressstrain to a well or chosen strain energy function [15,16]. The method of determining the materials constants by fitting curves using the known function is referred to as inverse procedure [17,18].…”

Section: Introductionmentioning

confidence: 99%

Prediction of Hyperelastic Material Properties of Nafion117 and Nafion/ZrO2 Nano-Composite Membrane

Ṋemavhola¹,

Sigwadi²

2019

IJAME

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This paper presents constitutive laws suitable for the prediction of mechanical behaviour of nano-composite membrane compared with the commercial membrane Nafion®117. The uniaxial tensile data of commercial Nafion®117 and Nafion®/ Zr-150 nano-composite membrane utilised for fitting hyperelastic models was determined experimentally. Several material models on mechanical behaviour of nano-composite and commercial Nafion® 117 membrane material was fitted to determined accuracy. In order to observe yield and fracture behaviour, the com-mercial Nafion®117 and Nafion®/ Zr-150 nano-composite membranes were loaded in uniaxial direction at a constant strain rate. To obtain the optimal material constants form six different material models considered in this study, the OriginLab® version 9 was used and the Leven-berg-Marquardt (M) optimization logarithm. Hyperplastic material models including Mooney-Rivlin, Yeoh, Ogden, Humphrey, Martins and Veronda-Westmann were selected to use in an inverse method to fit the experimental uniaxial data of nano-composite material. The hyper-plastic material parameters could then be used to simulate material behaviour of nano mem-brane using finite element analysis (FEA) technique. The procedure discussed in this paper could be used to accurately determine the constitutive parameters of various constitutive models of Polymer Nafion presented.

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Behavior characterization of visco-hyperelastic models for rubber-like materials using genetic algorithms

Cited by 11 publications

References 28 publications

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

Viscoelasticity in Large Deformation Analysis of Hyperelastic Structures

Calculation of Strain Energy Density Function Using Ogden Model and Mooney–Rivlin Model Based on Biaxial Elongation Experiments of Silicone Rubber

Prediction of Hyperelastic Material Properties of Nafion117 and Nafion/ZrO2 Nano-Composite Membrane

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