Multi-objective optimization of hyperelastic material constants: a feasibility study

A preliminary study of the use of multi-objective optimization methods in determining the material constants of a hyperelastic material model is presented. Classical experimental data is fitted to the third-order Ogden and the third-order Yeoh model hyperelastic material models through finite element analysis and multi-objective optimization, using the Simulia products Abaqus and Isight, respectively. The resulting hyperelastic material constants for both material models provide an improved curve-fit over the integrated fitting tool within Abaqus, in terms of average absolute difference (error). This indicates that this approach is suitable for development of an efficient and effective method for experimental characterization of rubber-like materials using both homogeneous and inhomogeneous experimental results.