A model for rubber-like materials with three parameters obtained from a tensile test. (English) Zbl 1519.74005
Summary: Based on our recent findings on the chains orientational distribution in deformed rubber-like materials, we present a novel, accurate and simple non-affine model for isotropic, incompressible polymers. The model has only three material parameters that are easily calibrated from the characteristic behaviour of a tensile test: the initial slope, the slope of the mid-range, and the locking stretch. Once calibrated, the proposal reproduces accurately the behaviour of the material under the general deformation states for moderately large stretches measured by S. Kawabata et al. [Macromolecules 14, No. 1, 154–162 (1981; doi:10.1021/ma50002a032)] (rubber) and T. Kawamura et al. [Macromolecules 34, No. 23, 8252–8260 82001; doi:10.1021/ma002165y)] (silicone), and at least for three deformation states approaching the locking behaviour (Treloar’s tests on rubber).
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