Prediction of Creep Strain Relaxations in Biomaterials Using Differential Transformation Method

Abstract

The outcome of most implant failures is tragic. There is an increasing need to reduce the rate of implant failure. While there has been a lot of progress regarding this problem, a lot still needs to be done. The behaviour of biomaterials had been represented using linear models. Linear models failed to capture some certain behaviours in materials due to the nonlinear nature of biomaterials. More work has been done in an attempt to represent the deformation of these biomaterials using non-linear models, which realised success to a degree. However, providing accurate solutions to these models became a problem. Here, An efficient approximate analytical method, differential transformation method (DTM) is provided for prediction of biomaterial deformation. The results of the solutions are found to be in excellent agreements with the results of the numerical methods. It was observed that at high viscosity, the material exhibit very high resistance to deformation and as it decreases, the material allows more deformation, for longer periods of time.Keywords:Biomaterials; Viscoelasticity;deformation;DifferentialTransformation Method;