A New Constitutive Relation for Rubber

Gent, A. N.

doi:10.5254/1.3538357

Cited by 1,505 publications

(956 citation statements)

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“…(I − 3)/J m 1, both models reduce to the neo-Hookean model given in equation (1.2). As shown in Boyce & Arruda (2000), the work functions of Arruda & Boyce (1993) and Gent (1996) produce very similar theoretical predictions. In particular, they have the same asymptotic behaviour when (I − 3) → J m .…”

Section: Introductionsupporting

confidence: 58%

“…There are many hyperelastic material models in the literature that exhibit finite extensibility behaviour (see Horgan & Saccomandi (2006) for more details). Among these models, two representative work functions are the one proposed by Arruda & Boyce (1993) and a much simpler one proposed later by Gent (1996). The work function of Gent's model has the following form: Figure 1.…”

Section: Introductionmentioning

confidence: 99%

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Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

Long

Hui

2011

Proc. R. Soc. A.

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We carried out a detailed analysis of the asymptotic stress and deformation fields at the tip of a mode III crack in a hyperelastic solid described by Gent's model. This model accounts for finite chain extensibility so that the deformation everywhere in the solid, including the crack tip, is bounded. We also present an exact solution for the 'small-scale yielding' problem where the region of large deformation is small compared with specimen dimensions. Our result shows that the crack tip stress field is non-separable. In addition, an infinite number of parameters are needed to completely specify the angular variation of crack tip stress field.

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Section: Introductionsupporting

confidence: 58%

Section: Introductionmentioning

confidence: 99%

Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

Long

Hui

2011

Proc. R. Soc. A.

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“…This finite extensibility has been discussed theoretically at the chain level [19] but although several empirical models exist [22,23] there is currently no molecular model that captures quantitatively the effect of nongaussian elasticity in a network [24,25] . One of the reasons is that this regime is often inaccessible experimentally for a macroscopic material because of premature fracture and models can only progress if more systematic data is available.…”

Section: Interpretation Of the Stiffening At High Strainmentioning

confidence: 99%

Characterizing Large Strain Elasticity of Brittle Elastomeric Networks by Embedding Them in a Soft Extensible Matrix

Ducrot

Creton

2016

Adv Funct Materials

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“…The Gent model (Gent, 1996) is a commonly used energy function for DEs that consist of long and flexible polymer chains from a microscopic point of view. Under stretching, the end-to-end distance of each polymer chain increases and eventually approaches the contour length that sets a finite stretching limit, and such elastomers usually stiffen significantly as the stretch approaches the limit.…”

Section: Ideal Desmentioning

confidence: 99%

Mechanics of dielectric elastomers: materials, structures, and devices

Qian

2016

JZUS-A

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Dielectric elastomers (DEs) respond to applied electric voltage with a surprisingly large deformation, showing a promising capability to generate actuation in mimicking natural muscles. A theoretical foundation of the mechanics of DEs is of crucial importance in designing DE-based structures and devices. In this review, we survey some recent theoretical and numerical efforts in exploring several aspects of electroactive materials, with emphases on the governing equations of electromechanical coupling, constitutive laws, viscoelastic behaviors, electromechanical instability as well as actuation applications. An overview of analytical models is provided based on the representative approach of non-equilibrium thermodynamics, with computational analyses being required in more generalized situations such as irregular shape, complex configuration, and time-dependent deformation. Theoretical efforts have been devoted to enhancing the working limits of DE actuators by avoiding electromechanical instability as well as electric breakdown, and pre-strains are shown to effectively avoid the two failure modes. These studies lay a solid foundation to facilitate the use of DE materials, structures, and devices in a wide range of applications such as biomedical devices, adaptive systems, robotics, energy harvesting, etc.

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A New Constitutive Relation for Rubber

Abstract: A simple, two-constant, constitutive relation, applicable over the entire range of strains, is proposed for rubber networks. Behavior in simple extension is derived as an example.

Cited by 1,505 publications

References 0 publications

Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

Characterizing Large Strain Elasticity of Brittle Elastomeric Networks by Embedding Them in a Soft Extensible Matrix

Mechanics of dielectric elastomers: materials, structures, and devices

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