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Hyper-elasticity and visco-elasticity in major deformations

Hyper-elasticity and visco-elasticity in major deformations

This is a mandatory stage for a finite elements calculation that is representative of the associated elastomer. In order to model the hyper-elastic or visco-elastic behavior of compact and cellular rubber, the largest possible experimental database is required. The definition of these laws varies according to the type of rubber. For compact rubber, the experimental database generally consists of uni and multiaxial tests that correspond to the stresses experienced by the part or structure to be modeled, such as: uniaxial tension, uniaxial compression, pure or simple shear, plane compression and equibiaxial tension for hyper-elastic behavior and relaxation or creep tests for visco-elastic behavior. With this database (and using internal software, ABAQUS STANDARD or MARC ANALYSIS) we seek the model which gives the most faithful representation of the hyper-elastic behavior of the rubber. Numerous types of models are available: Rivlin, Ogden, Alexander, Marlow, etc. For visco-elastic behavior, we model the relaxation or creep kinetics via Prony series. For cellular rubber, the approach is the same but the test protocols differ. Given the potentially significant variation in volume within a material subjected to stress, in addition to the stresses, we also measure the axial and transverse deformations. For this type of material, a single model is currently considered in the majority of calculation codes: Hill's law.

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