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A Comparative Study on the Hyperelastic Constitutive Models for Rubber

Dal, Hüsnü
This paper presents a novel approach for comparison of constitutive models forrubber. Model parameters are identified by simultaneous fitting of a given data of a set ofhomogeneous experiments (uniaxial tension, equibiaxial tension, and pure shear, Figure 1) bymultiobjective optimization. Using these parameters, fitting error can be calculated. In thisstudy, however, quality of fit parameter, which represents the amount of error normalized bythe data, is calculated for unbiased comparison of models. 40 different constitutive models forrubber-like materials from the literature are compared based on their quality of fit values [1].Among these models, micro-sphere [2] and Alexander’s model [3] gives the best results forsimultaneous fitting. However, some models work in low or moderate stretch levels. The stretchvalues up to which a model performs reasonably good (in terms of quality of fit) is calledvalidity range. It allows ranged comparison of models and provides insight for model selectionin engineering practice. Quality of fit values, validity ranges and errors are presented for all 40models.