A visco-hyperelastic approach to modelling the constitutive behaviour of rubber

Yang, Liming; Shim, V.P.W.; Lim, Chwee Teck

doi:10.1016/s0734-743x(99)00044-5

Cited by 161 publications

(95 citation statements)

References 9 publications

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“…The current investigation involves the design of a specimen-clamping device for tensile SHB tests on soft, compliant materials. The dynamic compressive behavior of rubber-like materials has been studied, 6 where a rate-dependent constitutive equation has been proposed, based on measured stress-strain data; this was subsequently used to simulate the response of rubber under three-dimensional impact loading. However, current test data show that this model, based on compressive test data, is inadequate in describing tensile response.…”

mentioning

confidence: 99%

A visco‐hyperelastic constitutive model to characterize both tensile and compressive behavior of rubber

Shim¹,

Yang²,

Lim³

et al. 2004

J of Applied Polymer Sci

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ABSTRACT:The strain rate-dependent finite deformation behavior of three types of rubber under tension and compression are experimentally characterized using a Hopkinson bar. Based on the measured data, a frame-independent incompressible visco-hyperelastic constitutive equation is proposed to describe the tensile and compressive responses of rubber under high strain rates. The equation comprises two parts: a three-parameter component based on an elastic strain energy potential, to characterize static hyperelastic behavior, and another with four parameters, developed from the BKZ model, to define rate sensitivity and strain history dependence. Established static and dynamic experimental techniques are employed to determine the seven parameters in the constitutive relationship. Comparison of predictions based on the proposed model with experiments shows that it is able to describe the visco-hyperelastic behavior of rubber-like materials under high strain rates.

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mentioning

confidence: 99%

A visco‐hyperelastic constitutive model to characterize both tensile and compressive behavior of rubber

Shim¹,

Yang²,

Lim³

et al. 2004

J of Applied Polymer Sci

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“…An appropriate compromise between minimizing the material parameters and simulating closely the material response is inevitable. Yang et al [9] used a Maxwell model with single relaxation time constant to describe the large deformation response of an incompressible rubber material under high strain rates, and found that the range of rate-sensitivity captured by their model was 10 À2 $ 10 0 , i.e. two orders of magnitude, for non-dimensional strain rates…”

Section: Discussion Of the Present Constitutive Modelmentioning

confidence: 99%

A viscoelastic constitutive model with nonlinear evolutionary internal variables

Wei

Chen

2003

Acta Mechanica

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Summary. Based on the internal variable theory, a viscoelastic constitutive model of a highly deformable continuous medium is proposed. A set of second rank tensorial internal state variables corresponding to Biot's strain is introduced, and a nonlinear evolution law for these internal variables is suggested. The proposed model may be considered as an extension of the network theory of rubber elasticity to take the viscous effects into account. In order to verify the validity of the present model, uniaxial tension tests for HDPE are carried out at different strain rates. The prediction of the present model shows a good agreement with the experimental data. Finally, a discussion of the present constitutive model is given. It is found that the present constitutive model is more flexible to describe the strain rate sensitivity of polymeric materials in a wide range of strain rates.

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“…the stress-strain curves are influenced by the loading rate of the material. Several experimental studies in the literature show this effect [25,26]. Mines, McKnown and Birch [6] performed dynamic tests of aircraft tire rubber specimens in tension and compression at strain rates of 4 s , showing a strong influence of the loading rate on the force levels.…”

Section: Strain Rate Effects (Dynamic Loading)mentioning

confidence: 95%

Rubber Impact on 3D Textile Composites

Heimbs¹,

Broucke²,

Kergomard

et al. 2011

Appl Compos Mater

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Abstract A low velocity impact study of aircraft tire rubber on 3D textile-reinforced composite plates was performed experimentally and numerically. In contrast to regular unidirectional composite laminates, no delaminations occur in such a 3D textile composite. Yarn decohesions, matrix cracks and yarn ruptures have been identified as the major damage mechanisms under impact load. An increase in the number of 3D warp yarns is proposed to improve the impact damage resistance. The characteristic of a rubber impact is the high amount of elastic energy stored in the impactor during impact, which was more than 90% of the initial kinetic energy. This large geometrical deformation of the rubber during impact leads to a less localised loading of the target structure and poses great challenges for the numerical modelling. A hyperelastic Mooney-Rivlin constitutive law was used in Abaqus/Explicit based on a step-by-step validation with static rubber compression tests and low velocity impact tests on aluminium plates. Simulation models of the textile weave were developed on the meso-and macro-scale. The final correlation between impact simulation results on 3D textile-reinforced composite plates and impact test data was promising, highlighting the potential of such numerical simulation tools.

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A visco-hyperelastic approach to modelling the constitutive behaviour of rubber

Cited by 161 publications

References 9 publications

A visco‐hyperelastic constitutive model to characterize both tensile and compressive behavior of rubber

A visco‐hyperelastic constitutive model to characterize both tensile and compressive behavior of rubber

A viscoelastic constitutive model with nonlinear evolutionary internal variables

Rubber Impact on 3D Textile Composites

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