Bioabsorbable polymeric materials have been used in medicine more often because of their biocompatibility with the body without causing foreign body reactions. Studies confirm the effectiveness to bioabsorbable polymeric materials compared to non-absorbable materials due to the length to time that keep fixation and to decompose gradually enable mechanical stresses imposed are progressively transferred to the union bone-soft tissue allowing your bone remodeling. In this work, incorporate into a scalar variable of damage on the effect of chemical degradation (hydrolysis) coupled to the effect the mechanical damage (Lemaitre 1985). The formulation presented is developed on small deformations and displacements in which respect is a thermodynamically consistent framework. The developed model is implemented in a finite element code. The numerical examples were analyzed by a notched cylindrical model and another model type plate also notched. The results showed the behavior of the degradation before loading imposed over time.