On the Numerical Simulation of Damage for the Visco-hyperelastic Anisotropic Behavior of the Biomaterials in Cyclic Loading: Relationship of the Mullins Effect and Fibers Reinforcement

This work is focused on the homogeneous macroscopic material level in order to provide a suitable formulation for structural finite element simulation. A reduction of the stiffness depending on loading, summarized as ‘damage phenomena’, is considered. We present the modeling of visco-hyperelastic damage with the Mullins effect of fiber-reinforced biomaterials. We show that the Ogden-Roxburgh model is more realistic for a reproduction of the damage of hyperelastic materials. Analyzing the parameters set, compressibility and reinforcement (reinforcement contribution, fibers directions and their dispersion in the material) on the hysteresis phenomenon in the tensile cyclic deformation of these biomaterials is achieved