Stress-strain data for vulcanised rubber under various types of deformation

Treloar, L. R. G.

doi:10.1039/tf9444000059

Cited by 565 publications

(298 citation statements)

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“…Experimental data for 8% sulfur rubber obtained by Treloar [9] for uniaxial and equibiaxial tensions, as well as for pure shear, are exploited. This common rubber is chosen because experimental data for uniaxial and multiaxial loads is available in the literature: a good approximation for the strain energy density is then possible for this material.…”

Section: Hyperelastic Models Parameter Identificationmentioning

confidence: 99%

Nonlinear vibrations of thin hyperelastic plates

Breslavsky

Amabili

Legrand

2014

Journal of Sound and Vibration

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International audienceStatic deflection as well as free and forced nonlinear vibration of thin square plates made of hyperelastic materials are investigated. Two types of materials, namely rubber and soft biological tissues, are considered. The involved physical nonlinearities are described through the Neo-Hookean, Mooney-Rivlin, and Ogden hyperelastic laws; geometrical nonlinearities are modeled by the Novozhilov nonlinear shell theory. Dynamic local models are first built in the vicinity of a static configuration of interest that has been previously calculated. This gives rise to the approximation of the plate's behavior in the form of a system of ordinary differential equations with quadratic and cubic nonlinear terms in displacement. Numerical results are compared and validated in the static case via a commercial finite element software package: they are found to be accurate for deflections reaching 100 times the thickness of the plate. The frequency shift between low- and large-amplitude vibrations weakens with an increased initial deflection

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Section: Hyperelastic Models Parameter Identificationmentioning

confidence: 99%

Nonlinear vibrations of thin hyperelastic plates

Breslavsky

Amabili

Legrand

2014

Journal of Sound and Vibration

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“…It was first introduced by 8 . Since then, this method has been frequently used by scientists for testing rubber.…”

Section: Equibiaxial-tension Testmentioning

confidence: 99%

Elastomer testing: the risk of using only uniaxial data for fitting the Mooney-Rivlin hyperelastic-material model

Keerthiwansa¹,

Javořík²,

Kledrowetz³

et al. 2018

Mater. Tehnol.

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The Mooney-Rivlin constitutive model is often used for the characterization of hyperelastic rubber-like materials. To obtain the material constants for a model, only a uniaxial-tension-data set is usually used. Though it is regularly used for its easiness of processing data in a simple and practical way, the method is considered to be insufficiently accurate. To analyse the shortcoming of the method, a detailed examination was done with the Mooney-Rivlin two-parameter model. This paper discusses the variations related to three basic load curves, i.e., uniaxial, equibiaxial and pure-shear curves. For a visual observation of the fitted-data dispersion, two data-fitting cases were considered. The first one was the data fitting only through uniaxial data while the second one was a combination of uniaxial and pure-shear experimental-data curve fitting. A detailed one-to-one comparison of the curves was done to achieve an accurate estimation of the variations. Keywords: uniaxial tension, equibiaxial loading, pure shear/planar shear loading, curve fitting, Mooney-Rivlin constitutive modelMooney-Rivlinov temeljni model se pogosto uporablja za karakterizacijo gumi podobnih hiperelasti~nih materialov. Za materialne konstante se obi~ajno uporablja set podatkov, dobljenih z enoosnim nateznim preizkusom.^eprav se ta na~in uporablja zaradi enostavnosti in prakti~nosti metode pa ga lahko smatramo kot manj natan~nega. Zato, da bi avtorji tega prispevka ugotovili neskladje, so izvedli natan~no analizo z Mooney-Rivlinovim dvoparametri~nim modelom. V~lanku avtorji obravnavajo variacije, ki se nana{ajo na tri osnovne krivulje obremenjevanja: enoosno, ekvivalentno dvoosno in~isti strig. Vizualno opazovanje raztrosa prilagojenih podatkov so izvedli na osnovi dveh na~inov prilagajanja podatkov. Prvo prilagajanje podatkov so izvedli na osnovi rezultatov enoosnega nateznega preizkusa. V drugem primeru so uporabili kombinacijo obeh: eksperimentalne rezultate enoosnega nateznega preizkusa in~istega striga. Izvedli so natan~no primerjavo krivulj in ocenili odstopanja. Klju~ne besede: enoosni nateg, ekvivalentna biaksialna obremenitev,~isti strig, ravninska stri`na obremenitev, prilagajanje krivulje, Mooney-Rivlinov konstitutivni (temeljni) model

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“…The incompressibility can be enforced by taking β 2 /β 1 high enough. Figure 1 depicts the behaviour of the proposed approach in comparison to the experimental data of the well known TRE-LOAR data [4] and the micro sphere model non-affine stretch part [2]. The material parameters µ, N and p are identical to those proposed in [2].…”

Section: A Micro-macro Approach To Materials Failurementioning

confidence: 99%

A micro‐macro approach to the failure of rubber‐like materials

Dal

Kaliske

2008

Proc Appl Math and Mech

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Rubbery polymers are modelled with hyperelastic constitutive laws by which the material can be stretched indefinitely or up to a certain locking stretch value. However, no material can sustain indefinite stretch and store infinite energy. Failure occurs after a threshold value for stress and/or energy is attained. Within this context, an approach for failure analysis of rubber-like materials based on the constitutive description of material is presented. The model is based on a hyperelastic material law representing the energy stored in rubber network due to the chain conformations connected in series to an interatomic bond potential representing the energy stored in the polymer chain due to the interatomic displacement. For the representation of the micro-macro transition in terms of non-affine kinematics, micro-sphere model is utilized. Morse potential is used for the description of the interatomic bond, which describes the energetic contribution to rubber-like materials and governs the failure of the polymer chain.

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Stress-strain data for vulcanised rubber under various types of deformation

Cited by 565 publications

References 0 publications

Nonlinear vibrations of thin hyperelastic plates

Nonlinear vibrations of thin hyperelastic plates

Elastomer testing: the risk of using only uniaxial data for fitting the Mooney-Rivlin hyperelastic-material model

A micro‐macro approach to the failure of rubber‐like materials

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