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1

Xie, Zhaonan, Xicheng Huang, Kai Zhang, et al. "Thermo-Oxidative Aging Effects on Hyperelastic Behavior of EPDM Rubber: A Constitutive Modeling Approach." Materials 18, no. 10 (2025): 2236. https://doi.org/10.3390/ma18102236.

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The effect of thermo-oxidative aging on the hyperelastic behavior of ethylene propylene diene monomer (EPDM) rubber was investigated by a combined experimental and theoretical modeling approach. Firstly, the uniaxial tensile test of aged and unaged EPDM rubber was carried out. The test results show that the unaged EPDM rubber had the nonlinear large deformation characteristic of a “S” shape. The stiffness of the EPDM rubber was found to increase with the aging time and aging temperature. Then, in order to quantitatively characterize the hyperelastic behavior of unaged EPDM rubber, the fitting
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2

Huang, Li Hong, Xiao Xiang Yang, and Jian Hong Gao. "Pseudo Elastic Analysis of Carbon Reinforced Natural/Styrene-Butadiene Blend Rubber (NSBR) with Ogden Constitutive Model." Materials Science Forum 928 (August 2018): 20–25. http://dx.doi.org/10.4028/www.scientific.net/msf.928.20.

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In this paper, experimental results that illustrate stress softening in carbon filled natural/styrene-butadiene blend rubber (NSBR) together with Mullins effect are introduced firstly. Then, based on these data, the Ogden constitutive model is derived. The theory of pseudo-elasticity is used in the model. It is found that theory of pseudo-elasticity and Ogden constitutive model is applicable in this composite.
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3

Ogden, Bill. "The Contamination Triangle: A New Model for Assessing the Risk of Biological Process Contamination and Performing Investigations." BioProcessing Journal 15, no. 1 (2016): 49–53. http://dx.doi.org/10.12665/j151.ogden.

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4

Wang, Qian, Chenyang Wang, Zhiwen Chen, and Li Liu. "Mechanical analysis of PDMS films based on different hyperelastic numerical constitutive models." Journal of Physics: Conference Series 2740, no. 1 (2024): 012057. http://dx.doi.org/10.1088/1742-6596/2740/1/012057.

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Abstract PDMS(polydimethylsiloxane) is widely employed as a substrate material in flexible electronic devices, necessitating its ability to undergo camber deformation while maintaining excellent ductility and flexibility. Understanding the mechanical behavior of PDMS is imperative for its practical applications. Consequently, to numerically investigate the tensile behavior of PDMS, two commonly used hyperelastic constitutive models, the Mooney-Rivlin model and the 3-term Ogden model, have been employed to describe its mechanical characteristics. The material coefficients were determined by fit
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Pelevin, Aleksander, and Vladimir Shadrin. "Features of using the viscoelastic material model in the ANSYS software package." Вестник Пермского университета. Математика. Механика. Информатика, no. 3(54) (2021): 52–57. http://dx.doi.org/10.17072/1993-0550-2021-3-52-57.

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The paper presents an experiment on uniaxial cyclic stretching with increasing amplitude of a filled elastomeric material. Such materials have complex mechanisms of mechanical behavior, in addition to elasticity, there are viscoelasticity and the Mullins softening effect. According to the experimental data, a mathematical model of a viscoelastic material with a softening effect is constructed in the ANSYS software package. It is shown that the combined use of the Ogden hyperelastic model, the Ogden–Roxburgh softening model, and the Prony viscoelastic model in the ANSYS software package accurat
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6

Huang, LiHong, Xiaoxiang Yang, and Jianhong Gao. "Pseudo-Elastic Analysis with Permanent Set in Carbon-Filled Rubber." Advances in Polymer Technology 2019 (January 3, 2019): 1–8. http://dx.doi.org/10.1155/2019/2369329.

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Via cyclic loading and unloading tests of natural/styrene-butadiene rubber (NSBR) blends at room temperature, the effects of the stretching, rate, temperature, and volume fraction of carbon black in the filled rubber on a permanent set (residual strain) were studied. The results showed that increasing the stretching, rate, and volume fraction of carbon black and reducing the temperature yielded greater residual strain. The uniaxial tensile behaviors of composites with the Mullins effect and residual strain were simulated using the ABAQUS software according to the aforementioned data. An Ogden-
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7

Yang, Tae Ho, Young Shin Lee, Yoon Jae Kim, et al. "A Study on Dynamic Characteristics of Hyper-Elastic Shock Programmer with Truncated Conical Shape." Advanced Materials Research 871 (December 2013): 240–46. http://dx.doi.org/10.4028/www.scientific.net/amr.871.240.

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Polyurethane (PU) S80A was used as the material of the elastomer of the shock programmer in this paper. To validate Ogden hyper-elastic material model in simulation, the small impact test was performed. As the comparison for the time history of the acceleration between the impact test and simulation was performed. Using the cylindrical shock programmer, the constant used in Ogden hyper-elastic material model was calculated. The wave shape of the acceleration was obtained with the noised sign. To clearly obtain the wave shape of the acceleration the cylindrical shock programmer, the truncated c
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8

Blaise, Bale Baidi, Gambo Betchewe, and Tibi Beda. "Optimization of the model of Ogden energy by the genetic algorithm method." Applied Rheology 29, no. 1 (2019): 21–29. http://dx.doi.org/10.1515/arh-2019-0003.

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Abstract The model of Ogden, is a density of energy used in the modeling of hyperelastic materials behavior. This model of energy presents a high number of material parameters to identify. In this paper, we expose a method of identification of these parameters:Genetic Algorithm. This method contrary to the method of Beda-Chevalier, Least Squares, directed programming object method, PSA (Pattern Search Algorithm) and LMA (Levenberg-Marquardt), allows to identify quickly good parameters which give to the Ogden model a very good prediction in uniaxial tension, biaxial tension and pure shear. This
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9

Valencia, Alvaro, Benjamin Blas, and Jaime H. Ortega. "Modeling of Brain Shift Phenomenon for Different Craniotomies and Solid Models." Journal of Applied Mathematics 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/409127.

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This study investigates the effects of different solid models on predictions of brain shift for three craniotomies. We created a generic 3D brain model based on healthy human brain and modeled the brain parenchyma as single continuum and constrained by a practically rigid skull. We have used elastic model, hyperelastic 1st, 2nd, and 3rd Ogden models, and hyperelastic Mooney-Rivlin with 2- and 5-parameter models. A pressure on the brain surface at craniotomy region was applied to load the model. The models were solved with the finite elements package ANSYS. The predictions on stress and displac
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10

Phromjan, Juthanee, and Chakrit Suvanjumrat. "Material Characteristic for Capability Analysis of Solid Tire by Finite Element Method." Key Engineering Materials 777 (August 2018): 416–20. http://dx.doi.org/10.4028/www.scientific.net/kem.777.416.

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The natural rubber compound of each layer of solid tire had determined the mechanical properties in tension. It was found that the stress-strain relation of each material tire layer was fitted very well with the Ogden constitutive model. The R2 which was 0.986, 0.996 and 0.985 represented the certain curve fitting on the internal, middle and tread layer of solid tire, respectively. Subsequently, the Ogden model was implemented in the finite element model of the rubber specimen and solid tire. The finite element analysis results obtained an average error of 18.00% and 14.63% for the specimen an
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11

Yeoh, O. H. "On the Ogden Strain-Energy Function." Rubber Chemistry and Technology 70, no. 2 (1997): 175–82. http://dx.doi.org/10.5254/1.3538422.

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Abstract The Ogden strain-energy function for rubber appears to be gaining popularity among users of finite element analysis. This paper discusses some of the special features of this material model. It explains why nonlinear regression analysis of stress-strain data obtained from just one mode of deformation may yield an Ogden strain-energy function that is unsatisfactory for predicting behavior in other deformation modes. It suggests the regression analysis be constrained such that some of the coefficients are chosen based upon the known behavior of rubbery materials.
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12

Phromjan, Juthanee, and Chakrit Suvanjumrat. "Material Properties of Natural Rubber Solid Tires for Finite Element Analysis." Key Engineering Materials 775 (August 2018): 560–64. http://dx.doi.org/10.4028/www.scientific.net/kem.775.560.

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The three natural rubber compounds of solid tires producing were performed the mechanical property test. The constitutive model of each material tire layer was determined by the curve fitting method of the true stress-strain characteristic results. The Ogden constitutive model was the most suitable material model for all layers of solid tires. It had the precise R2 result comprising of 0.990, 0.988 and 0.989 for the internal, middle and tread layer of solid tires, respectively. Subsequently, the material model was implemented for the finite element method (FEM) to test the rubber specimens. Th
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13

CORRALES MAGALLANES, ADI, LUIS DEL LLANO VIZCAYA, CELSO EDUARDO CRUZ GONZALEZ, VICENTE BRINGAS RICO, ALDO AUGUSTO LOPEZ MARTINEZ, and EUSEBIO JIMENEZ LOPEZ. "NUMERICAL-EXPERIMENTAL EVALUATION OF A HYPERELASTIC POLYURETHANE ADHESIVE." DYNA 96, no. 3 (2021): 246–49. http://dx.doi.org/10.6036/9783.

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This article presents the results of the experimental tests carried out on a polyurethane hyperelastic adhesive. The Mooney-Rivlin, Ogden and Yeoh models were analyzed between others, with different order and parameters using the finite element method and the Ansys V17.1 package, with the aim of evaluating the convergence of a general hyperelastic model, to subsequently manufacture specimens and perform experimental uniaxial stress tests. The information obtained from the tests was supplied to a curve fitting model for several hyperelastic models, seeking to obtain a correlation between these
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14

WU, BIN, YUNYUN ZHU, RUXIN LU, et al. "RESEARCH OF MAXILLARY IMPACTED CANINE IN ORTHODONTIC TREATMENT BASED ON NANOINDENTATION EXPERIMENTS." Journal of Mechanics in Medicine and Biology 17, no. 07 (2017): 1740029. http://dx.doi.org/10.1142/s0219519417400292.

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This study selected the maxillary labial impacted canine as the research object to build the model of periodontal ligament (PDL) and simulate the process of orthodontic treatment. This paper obtained stress–strain curve by calculating and analyzing the data of nanoindentation experiments. The parameters were identified through curve fittings by ABAQUS. The fitting results show that the third-order Ogden model is in good agreement with the experimental data which demonstrate that the third-order Ogden model is able to reflect the material properties of the PDL. In this paper, orthodontic proces
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15

BHAT, SUBRAYA KRISHNA, NORIYUKI SAKATA, and HIROSHI YAMADA. "IDENTIFICATION OF UNIAXIAL DEFORMATION BEHAVIOR AND ITS INITIAL TANGENT MODULUS FOR ATHEROMATOUS INTIMA IN THE HUMAN CAROTID ARTERY AND THORACIC AORTA USING THREE-PARAMETER ISOTROPIC HYPERELASTIC MODELS." Journal of Mechanics in Medicine and Biology 20, no. 03 (2020): 2050014. http://dx.doi.org/10.1142/s0219519420500141.

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Uniaxial stretching tests are used for mechanical identification of small fibrous regions of atheromatous arteries. Material constants in isotropic hyperelastic models are determined to minimize the fitting error for the stress–strain curve. We developed a novel method to better characterize the material constants in typical forms of Yeoh, Ogden, Chuong–Fung (CF) and Gasser–Ogden–Holzapfel (GOH) isotropic hyperelastic models for fibrous caps and normal intimal layers from human carotid artery and thoracic aorta by incorporating Young’s modulus, i.e., the initial tangent modulus of uniaxial str
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16

Ju, Ming Lei, Hamdi Jmal, Raphaël Dupuis, and Evelyne Aubry. "A Comparison among Polynomial Model, Reduced Polynomial Model and Ogden Model for Polyurethane Foam." Advanced Materials Research 856 (December 2013): 169–73. http://dx.doi.org/10.4028/www.scientific.net/amr.856.169.

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Polyurethane foam is widely used in numerous applications. The quasi-static mechanical behaviour of polyurethane foam shows a nonlinear elasticity and a viscoelasticity in large compression deformation. In this paper, the uniaxial compression / decompression tests in three different strain rates are performed. The purpose of this paper is to propose three visco-hyperelastic models and to identify the parameters based on the experimental results. A difference-stress proper identification method is used to obtain the model parameters. The results show that the three models can predict the mechan
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17

Przybylo, P. A., and E. M. Arruda. "Experimental Investigations and Numerical Modeling of Incompressible Elastomers during Non-Homogeneous Deformations." Rubber Chemistry and Technology 71, no. 4 (1998): 730–49. http://dx.doi.org/10.5254/1.3538501.

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Abstract Three hyperelastic constitutive models, the Arruda and Boyce model, the Yeoh model, and the Ogden model, are used to simulate the response of vinyl elastomers in large, non-homogeneous deformation states. A single uniaxial compression test is used to characterize the elastomers to obtain model constants. Drucker stability is enforced by restriction of the coefficients for the Yeoh and Ogden models to produce physically feasible uniaxial results. The ability of the models to predict the global force versus deformation responses and deformed shapes for large deformation shear, tensile d
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18

YOSHIDA, Junji, and Toshiyuki SUGIYAMA. "AN APPROXIMATED FORMULATION OF OGDEN MODEL FOR RUBBER-LIKE SOLIDS." Doboku Gakkai Ronbunshuu A 64, no. 2 (2008): 217–22. http://dx.doi.org/10.2208/jsceja.64.217.

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19

Nazarenko, Lidiia, Henryk Stolarski, and Holm Altenbach. "Modeling Cylindrical Inhomogeneity of Finite Length with Steigmann–Ogden Interface." Technologies 8, no. 4 (2020): 78. http://dx.doi.org/10.3390/technologies8040078.

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A mathematical model employing the concept of energy-equivalent inhomogeneity is applied to analyze short cylindrical fiber composites with interfaces described by the Steigmann–Ogden material surface model. Real inhomogeneity consists of a cylindrical fiber of finite length, and its surface possessing different properties is replaced by a homogeneous, energy-equivalent cylinder. The properties of the energy-equivalent fiber, incorporating properties of the original fiber and its interface, are determined on the basis of Hill’s energy equivalence principle. Closed-form expressions for componen
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20

Kazemian, M., A. Moazemi Goudarzi, and A. Hassani. "A study on deformation-induced degradation of the compressible polymeric pressurized vessel through a non-equilibrium thermodynamic framework." Mathematics and Mechanics of Solids 27, no. 5 (2021): 828–43. http://dx.doi.org/10.1177/10812865211042924.

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The present paper investigates the degradation of compressible polymers based on the proposed model on strain-induced degradation of incompressible polymers. In a non-equilibrium thermodynamic framework, constitutive equations and evolution laws are derived using the principle of maximum energy dissipation rate and specifying how energy can be stored and dissipated. As a computational model, the governing equations are applied to the pressurized polymeric vessel subjected to the Ogden–Hill compressible hyperelastic material model. To analyze the axisymmetric plane-strain degradable vessel, pro
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21

Kim, Beomkeun, Seong Beom Lee, Jayone Lee, et al. "A comparison among Neo-Hookean model, Mooney-Rivlin model, and Ogden model for chloroprene rubber." International Journal of Precision Engineering and Manufacturing 13, no. 5 (2012): 759–64. http://dx.doi.org/10.1007/s12541-012-0099-y.

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22

SHAHIDIAN, AZADEH, and ARASH GHORBANNIA HASSANKIADEH. "STRESS ANALYSIS OF INTERNAL CAROTID ARTERY WITH LOW STENOSIS LEVEL: THE EFFECT OF MATERIAL MODEL AND PLAQUE GEOMETRY." Journal of Mechanics in Medicine and Biology 17, no. 06 (2017): 1750098. http://dx.doi.org/10.1142/s0219519417500981.

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Stress concentration in carotid stenosis has been proven to assist plaque morphology in disease diagnosis and vulnerability. This work focuses on numerical analysis of stress and strain distribution in the cross-section of internal carotid artery using a 2D structure-only method. The influence of four different idealized plaque geometries (circle, ellipse, oval and wedge) is investigated. Numerical simulations are implemented utilizing linear elastic model along with four hyperelastic constitutive laws named neo-Hookean, Ogden, Yeoh and Mooney–Rivlin. Each case is compared to the real geometry
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23

Sánchez-Arce, I. J., L. D. C. Ramalho, D. C. Gonçalves, R. D. S. G. Campilho, and J. Belinha. "Hyperelasticity and the radial point interpolation method via the Ogden model." Engineering Analysis with Boundary Elements 145 (December 2022): 25–33. http://dx.doi.org/10.1016/j.enganabound.2022.08.035.

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24

Rubin, M. B., and A. E. Ehret. "An Invariant-Based Ogden-Type Model for Incompressible Isotropic Hyperelastic Materials." Journal of Elasticity 125, no. 1 (2016): 63–71. http://dx.doi.org/10.1007/s10659-016-9570-9.

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Dörfel, Max J., Han Fang, Jonathan Crain, Michael Klingener, Jake Weiser, and Gholson J. Lyon. "Proteomic and genomic characterization of a yeast model for Ogden syndrome." Yeast 34, no. 1 (2016): 19–37. http://dx.doi.org/10.1002/yea.3211.

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Sugihardjo, Hidajat, Tavio Tavio, and Yudha Lesmana. "FE Model of Low Grade Rubber for Modeling Housing’s Low-Cost Rubber Base Isolators." Civil Engineering Journal 4, no. 1 (2018): 24. http://dx.doi.org/10.28991/cej-030966.

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An accurate selection of strain energy function (SEF) plays a very important role for predicting the actual behavior of rubber material in the finite element analysis (FEA). The common method for selecting the SEF is by using the curve fitting procedure. However, the behavior of some typical rubbers, such as low grade rubbers (average hardness value of 47.2), cannot be predicted well by only using the curve fitting procedure. To accurately predict the actual behavior of such specifically nearly incompressible material, a series of FEA were carried out to simulate the actual behavior of four ph
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27

Beda, T. "Optimizing the Ogden Strain Energy Expression of Rubber Materials." Journal of Engineering Materials and Technology 127, no. 3 (2005): 351–53. http://dx.doi.org/10.1115/1.1925282.

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The Ogden strain energy expression is expanded to an optimal number of terms characterizing materials to predict any response of any mode of deformation well. The effect of each term generating the model is highlighted in the corresponding state of deformation, i.e., influence domain: Moderate stretch, transition, or stiffening region, with the help of the proposed method.
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28

Li, Xiaobao, Lijian Jiang, and Changwen Mi. "Flamant solution of a half-plane with surface flexural resistibility and its applications to nanocontact mechanics." Mathematics and Mechanics of Solids 25, no. 3 (2019): 664–81. http://dx.doi.org/10.1177/1081286519887205.

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This article presents a semianalytical solution to a half-plane contact problem subjected to an arbitrarily distributed surface traction. The half-plane boundary is treated as a material surface of the Steigmann–Ogden type. Under the assumption of plane strain condition, the problem is formulated by coupling the methods of an Airy stress function and Fourier integral transforms. Stresses and displacements in the form of semi-infinite integrals are derived. A non-classical Flamant solution that is able to simultaneously account for the surface tension, membrane stiffness, and bending rigidity o
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Zhang, Wenzheng, Xuegang Yuan, and Hongwu Zhang. "Nonlinear Periodic Oscillation of a Cylindrical Microvoid Centered at an Isotropic Incompressible Ogden Cylinder." Journal of Applied Mathematics 2012 (2012): 1–9. http://dx.doi.org/10.1155/2012/872161.

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We study the dynamic mathematical model for an infinitely long cylinder composed of an isotropic incompressible Ogden material with a microvoid at its center, where the outer surface of the cylinder is subjected to a uniform radial tensile load. Using the incompressibility condition and the boundary conditions, we obtain a second-order nonlinear ordinary differential equation that describes the motion of the microvoid with time. Qualitatively, we find that this equation has two types of solutions. One is a classical nonlinear periodic solution which describes that the motion of the microvoid i
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Li, Ming, Xiao Ling Hu, Wen Bo Luo, You Jian Huang, and Ji Ling Bu. "Comparison of Two Hyperelastic Models for Carbon Black Filled Rubber." Applied Mechanics and Materials 275-277 (January 2013): 28–32. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.28.

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Mooney-Rivlin model and Ogden model are frequently used by engineers for finite element analysis of rubber material. Before simulation, simple, biaxial and planar extension tests are always done to get the model parameters. In this paper, we compare these two hyperelastic models with experimental data produced under simple, biaxial extension and planar extension loading conditions. The ability of the two models to reproduce different deformation modes is analyzed. Both material parameters and the stretch range of validity of each model are determined.
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Jemiolo, S., and S. Turteltaub. "A Parametric Model for a Class of Foam-Like Isotropic Hyperelastic Materials." Journal of Applied Mechanics 67, no. 2 (1999): 248–54. http://dx.doi.org/10.1115/1.1305277.

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A parametric model for foam-like materials is proposed and its correlation with experimental results is analyzed. The class of foam-like materials is assumed to be described by an isotropic elastic potential based on a general model proposed by Ogden. The class is parametrized using the relative mass density of the material. Functional relations between material parameters and the relative mass density are obtained from experimental data. A simple application problem, namely the optimization of a foam for maximum energy absorption under homogeneous compression, is formulated and solved numeric
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32

Zhang, Qi, Guoying Meng, Haixu Geng, Shuangfu Suo, and Jinsen Zhang. "Finite element analysis of silicone rubber based on Yeoh constitutive model and Ogden constitutive model." IOP Conference Series: Earth and Environmental Science 714, no. 3 (2021): 032078. http://dx.doi.org/10.1088/1755-1315/714/3/032078.

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TRABELSI, KARIM. "NONLINEARLY ELASTIC THIN PLATE MODELS FOR A CLASS OF OGDEN MATERIALS II: THE BENDING MODEL." Analysis and Applications 03, no. 03 (2005): 271–83. http://dx.doi.org/10.1142/s0219530505000571.

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This paper is a sequel to Part I (Trabelsi [11]) in which a new two-dimensional membrane model was derived via a formal asymptotic procedure for a family of hyperelastic nonlinear materials proposed by Ciarlet and Geymonat whose stored energy function is polyconvex and becomes infinite when the determinant of the deformation gradient tends to zero, and can be adjusted to arbitrary Lamé constants. Here, we continue the asymptotic analysis by making legitimate assumptions on the data to produce an inextensional two-dimensional model.
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Klar, O., W. Ehlers, and B. Markert. "Gradient-based optimization of a viscoelastic Ogden type model for cellular polymers." PAMM 1, no. 1 (2002): 141. http://dx.doi.org/10.1002/1617-7061(200203)1:1<141::aid-pamm141>3.0.co;2-v.

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Lin, Jui-Chi, and Jia-Lin Tsai. "Characterizing the interfacial fracture energy of stiff islands on stretchable films." Journal of Mechanics 38 (2022): 305–14. http://dx.doi.org/10.1093/jom/ufac023.

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Abstract This study characterized the interfacial fracture energy of stiff islands deposited on a thermoplastic polyurethane (TPU) film. The film can deform by &amp;gt;200%. The film was stretched using a designed fixture, and the fracture behaviors of the islands were observed using a microscope. The island–substrate interface debonding lengths associated with different levels of substrate strain were determined in the stretching tests. Because the stretchable film was a nonlinear material, the Ogden model was employed to characterize the nonlinear constitutive relation. Through the tensile t
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36

Kofod, Guggi. "Finite-Strain Models of Actuation: Prestretch and Elasticity Parameters." Advances in Science and Technology 61 (September 2008): 91–100. http://dx.doi.org/10.4028/www.scientific.net/ast.61.91.

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The cuboid actuator is presented as a simple system for evaluation of the properties of dielectric elastomer actuators. The Ogden model as a component of this theory is evaluated and parameters for VHB 4910 found in literature are compared. The model is presented and evaluated with both intensive and extensive variables. For the first time direct effects of the width prestretch on electromechanical coupling are clearly presented. Also, the importance of choosing proper parameters for the hyper-elastic model is made clear via example.
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Valiollahi, Arash, Mohammad Shojaeifard, and Mostafa Baghani. "Implementing Stretch-Based Strain Energy Functions in Large Coupled Axial and Torsional Deformations of Functionally Graded Cylinder." International Journal of Applied Mechanics 11, no. 04 (2019): 1950039. http://dx.doi.org/10.1142/s175882511950039x.

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In this paper, coupled axial and torsional large deformation of an incompressible isotropic functionally graded nonlinearly elastic solid cylinder is investigated. Utilizing stretch-based constitutive models, where the deformation tensor is non-diagonal is complex. Hence, an analytical approach is presented for combined extension and torsion of functionally graded hyperelastic cylinder. Also, finite element analysis is carried out to verify the proposed analytical solutions. The Ogden model is employed to predict the mechanical behavior of hyperelastic materials whose material parameters are f
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38

Adull Manan, Nor Fazli. "Mechanical Insights into Biomaterial Wound Healing Patches and Polyvinyl Acetate Elasticity." Journal of Mechanical Engineering 21, no. 2 (2024): 37–50. http://dx.doi.org/10.24191/jmeche.v21i2.26254.

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This study investigates the development of biomaterial healing patches, specifically focusing on the elastomer characteristics and hyperelastic parameters of polyvinyl acetate in lab-made skin. Three sets were evaluated: plain PVAc (Set A), a mix of PVAc with Polysiloxanes (Set B), and a combination of PVAc with PVM-MA &amp;CMC (Set C). Mechanical properties and hyperelastic behavior were assessed using ASTM D412 type-C standard and a 40 mm/min tensile test. Set A shows higher tensile stress (0.072 MPa) and higher tensile strain (1.1324) than Sets B and C. The Mooney-Rivlin and Ogden models we
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39

Samsudin, Mohd Shamsul Farid, Azlan Ariffin, Muhammad Khalil Abdullah, and Zulkifli Mohamad Ariff. "Evaluation of Cell Deformation in Functionally Graded Natural Rubber Foam via Finite Element Analysis." Materials Science Forum 1102 (October 24, 2023): 3–10. http://dx.doi.org/10.4028/p-xo0cyo.

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Functionally graded structures from natural rubber foams were constructed and evaluated in this study. The structures were assembled based on density gradient achieved by stacking layers of natural rubber foams with different densities. Both physical and computational structures were constructed and assembled through experimental work and computer-aided design (CAD) modelling, respectively. Finite Element Analysis (FEA) simulation were conducted on two different assembled structures under compressive deformation mode using Ogden foam hyper-elastic model available in the simulation software pac
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Pan, Gao, Meimei Chen, Yao Wang, et al. "Hyper-Pseudo-Viscoelastic Model and Parameter Identification for Describing Tensile Recovery Stress–Strain Responses of Rubber Components in TBR." Polymers 15, no. 1 (2022): 76. http://dx.doi.org/10.3390/polym15010076.

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Tires are often in service under dynamic conditions. Realizing the high-precision prediction of the mechanical response of rubber materials under cyclic loading can provide guidance for the design of high-performance tires. In this work, the tensile recovery stress-strain responses of rubber materials in nine different components of a truck and bus radial (TBR) tire were obtained through experiments. Before fitting, an experimental data processing method was proposed to facilitate the parameter identification for a hyper-pseudo-viscoelastic model, that is, the raw experimental data were change
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Kut, S., G. Ryzińska, and B. Niedziałek. "The Influence of Material Model of the Polyurethane Elastomer on the FEM Calculations Quality for the Various Modes of Loading." Archives of Metallurgy and Materials 62, no. 2 (2017): 523–30. http://dx.doi.org/10.1515/amm-2017-0077.

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AbstractThe paper presents research to verify the effectiveness of nine selected material models of elastomeric materials based on uniaxial tension test. Basing on the cyclic uniaxial tension test of elastomers sample, the stress-strain characteristic for the 18th load cycle was prepared. On the basis of the obtained characteristic, the values of material constants were calculated for the studied models (Neo-Hookean, Mooney with two and three constants, Signorini, Yeoh, Ogden, Arruda-Boyce, Gent and Marlow) and simulation of tensile, upsetting and bending processes was performed with the usage
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42

Nazarenko, Lidiia, Henryk Stolarski, and Holm Altenbach. "Effective properties of particulate nano-composites including Steigmann–Ogden model of material surface." Computational Mechanics 68, no. 3 (2021): 651–65. http://dx.doi.org/10.1007/s00466-021-01985-8.

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AbstractThe objective of this work is inclusion of the Steigmann-Ogden interface in the Method of Conditional Moments to investigate the influence of surface effects on the effective properties of random particulate composites. The particular focus is centered on accounting for the surface bending stiffness. To this end, the notion of the energy-equivalent inhomogeneity developed for Gurtin–Murdoch interface is generalized to include the surface bending contribution. The crucial aspect of that generalization is identification of the formula defining energy associated with the surface bending.
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JIANG, JINGANG, ZHIYUAN HUANG, XUEFENG MA, YONGDE ZHANG, YINGSHUAI HAN, and YI LIU. "ORTHODONTIC PROCESS SAFETY EVALUATION BASED ON PERIODONTAL LIGAMENT CAPILLARY PRESSURE AND OGDEN MODEL." Journal of Mechanics in Medicine and Biology 18, no. 08 (2018): 1840033. http://dx.doi.org/10.1142/s021951941840033x.

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Taking the lower maxillary incisors as an example and the orthodontic forces along the near–far middle direction, the orthodontic forces along the crown–root direction and the orthodontic moment around the tongue–cheek direction as loading condition, the biomechanical simulation of the tooth is carried out by the method of finite element simulation in this paper. The CT images of the skull are segmented and denoised by Mimics. The solid models of teeth, periodontal ligament (PDL), alveolar bone and brackets are established by Gomagic and Solidworks. The material characteristics of the PDL are
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Berezvai, Szabolcs, and Attila Kossa. "Closed-form solution of the Ogden–Hill’s compressible hyperelastic model for ramp loading." Mechanics of Time-Dependent Materials 21, no. 2 (2016): 263–86. http://dx.doi.org/10.1007/s11043-016-9329-5.

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Luo, Hua An, Hua Ming Wang, Jian Ying Zhu, and You Peng You. "Characterization of Hyperelastic Dielectric Elastomer Based on Biaxial Tensile Bench." Advanced Materials Research 97-101 (March 2010): 884–88. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.884.

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Usually model parameters from uniaxial experiments are not suitable for dielectric elastomer under biaxial loading condition. To characterize the mechanical behavior of dielectric elastomer, a biaxial tensile bench is established, on which uniaxial tests can be performed too. On the basis of the analysis of viscous effect of elastomer, experimental condition for data acquirement is determined. Then equi-biaxial and uniaxial experimental data are obtained to fit three constitutive models, i.e. Mooney-Rivlin, Yeoh and Ogden model. Also, least square minimization method is used to obtained model
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Agostiniani, Virginia, Gianni Dal Maso, and Antonio DeSimone. "Attainment results for nematic elastomers." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 145, no. 4 (2015): 669–701. http://dx.doi.org/10.1017/s0308210515000128.

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We consider a class of non-quasi-convex frame indifferent energy densities that includes Ogden-type energy densities for nematic elastomers. For the corresponding geometrically linear problem, we provide an explicit minimizer of the energy functional satisfying a non-trivial boundary condition. Other attainment results, both for the nonlinear and the linearised model, are obtained by using the theory of convex integration introduced by Müller and Šverák in the context of crystalline solids.
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Erchiqui, Fouad, Mhamed Souli, Toufik Kanit, Abdellatif Imad, Boudlal Aziz, and Ahmed El Moumen. "Characterization of Polymeric Membranes Under Large Deformations Using Fluid-Structure Coupling." International Journal of Applied Mechanics 07, no. 05 (2015): 1550068. http://dx.doi.org/10.1142/s1758825115500684.

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The mechanical properties of Ogden material under biaxial deformation are obtained by using the bubble inflation technique. First, pressure inside the bubble and height at the hemispheric pole are recorded during bubble inflation experiment. Thereafter, Ogden's theory of hyperelasticity is employed to define the constitutive model of flat circular thermoplastic membranes (CTPMs) and nonlinear equilibrium equations of the inflation process are solved using finite difference method with deferred corrections. As a last step, a neuronal algorithm artificial neural network (ANN) model is employed t
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Song, Kyu, Nak-Kyun Cho, Keun Park, and Chung-Soo Kim. "Investigating Mechanical Behaviours of PDMS Films under Cyclic Loading." Polymers 14, no. 12 (2022): 2373. http://dx.doi.org/10.3390/polym14122373.

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Polydimethylsiloxane (PDMS) is widely utilised as a substrate for wearable (stretchable) electronics where high fatigue resistance is required. Cyclic loadings cause the rearrangement of the basic molecular structure of polymer chains, which leads to changes in the mechanical properties of the PDMS structure. Accordingly, it is necessary to investigate reliable mechanical properties of PDMS considering both monotonic and cyclic loading conditions. This study aims to present the mechanical properties of PDMS films against both monotonic and cyclic loading. The effects of certain parameters, suc
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Wang, Wen Tao, and Wen Bin Shang Guan. "The Study on Rubber’s Constitutive Model about Parameters Identification and the Effect of Fitting Error." Advanced Materials Research 503-504 (April 2012): 1094–99. http://dx.doi.org/10.4028/www.scientific.net/amr.503-504.1094.

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Fitting accuracy of hyper-elastic constitutive models of rubber and parameter identification of the models play important roles in the finite element analysis of rubber components. In this paper, to obtain stress-strain characteristics, uniaxial and planar as well as biaxial tension of a standard rubber sample are measured. Model parameters of three kinds of classic constitutive models are identified using least square method. Then, the fitting accuracy among different models is compared. The comparison shows that the fitting accuracy is getting higher when the test material strain is increase
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Yan, Shunping, Dong Jia, Yong Yu, Luobin Wang, Yong Qiu, and Qiang Wan. "Novel strategies for parameter fitting procedure of the Ogden hyperfoam model under shear condition." European Journal of Mechanics - A/Solids 86 (March 2021): 104154. http://dx.doi.org/10.1016/j.euromechsol.2020.104154.

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