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COMPARISON OF CONSTITUTIVE HYPER-ELASTIC MATERIAL MODELS IN FINITE ELEMENT THEORY

ABSTRACT
This study aims to investigate the most widely used hyper-elastic material models applied in finite element solutions of large deformation problems. Physical tests were carried out on specimens which are loaded under compression, simple shear and tension to obtain the stress-strain data for all loading modes, respectively. For the same physical tests, finite element models were constructed. Mooney-Rivlin material model with 2 and 3 constants and Ogden model with 2 and 3 coefficients, derived from the stress-strain data under compression, shear and tension. Resulted material models are implemented in finite element solutions of the physical tests. The results of finite element solutions were discussed and compared with the real test results. They are also compared to each other to see which models are more accurate. At the end, a finite element analysis is performed for a real life example; an Anti-vibration mount. The results of quasi-static experiment of an anti-vibration mount and corresponding finite element analysis were also discussed and compared.
Keywords: Finite element theory, hyper-elastic material models, mechanical properties of rubber.