Biological Tissue Remodeling Using Poroelastic Gurson’s Model

Bone is a dynamic material, able to destroy and create new tissue by responding to changes of physiological and mechanical stimuli. When loads overcome the elastic threshold, the bone tissue exhibits the formation of microcracks, whose size can increase as function of the load history, so activating a new bone remodeling process. In the present study the elastoplastic Gurson’s model is used to describe the evolution of microcracks in the bone, in terms of strain and volume fraction evolutions with the time. Applying a monoaxial, triaxial and hydrostatic time-periodical load histories to an osteon unit assumed to be obeying to the Gurson’s model, it is finally shown that the non-linear stress-strain behaviour leads to a some interesting results about the corresponding non-linear evolution of void growth in the bone unit.