Abstract
The objective of this work is to develop a first level approximation hybrid model that predicts the rate of reduction of the elastic modulus for a composite internal fixation plate. The first level model combines a modified composite theory in which the bioresorbable constituent moduli and volume fractions are time-dependent, with predictions from a Finite Element (FE) model, but ignores viscoelastic effects. The FE model is used to predict relationships between geometrical constraints (material interfaces), while a theoretical combined elastic modulus is determined using the Reuss model. The composite internal fixation device design comprises Poly-L-lactide and Hydroxyapatite (HA/PLLA) and Titanium. The geometrical relationships established by the FE static model are combined with the theoretical mathematical model in order to predict the rate of decrease of the elastic modulus of the composite device. The first level model predicts that the composite plate modulus decreases at a rate that appropriately compensates for the increasing modulus of the healing bone during fracture healing. This suggests that the proposed composite fixation plate has a strong potential for improved fracture healing through the reduction of stress shielding while the fracture heals, and the elimination of stress shielding after fracture healing.
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