an experimental and numerical verification of different hyperelastic material models for rubbers under tension and compression loads

some numerical and experimental investigations are made on the performance of five different hyperelastic constitutive models (second order polynomial, yeoh, arruda-boyce, ogden and marlow) in tension and compressionmodes. first, the results of the tensile and compression tests on a rubber sample were used to determine the parameters of the models by curve fitting methods. next, by using an algorithm based on adaptive meshing technique and minimizing the mises equivalent stress, the best finite element mesh of the tensile and compression specimens were obtained. these finite element meshes were then employed for the simulation of the tests, and the predicted force-displacements curves were compared by the experimentally measured data. it is found that the marlow model gives the best result provided that the stress-strain curve of the simple tension experiment is available.