Mechanical Properties of Functionally Graded Biomaterials in Bone Replacement; Analytical and Numerical Solution

Porous biomaterials are known as one of the new materials which are widely used and especially appropriate for bone interfacing components. Besides providing a proper area for bone ingrowth, their mechanical properties mimic properties of bone. It has been entrenched that porous biomaterials can be produced considering defined representative volume elements (RVE) by recent developments in additive manufacturing. In this paper a novel functionally graded porous material is introduced based on a new RVE. In order to calculate the mechanical properties (elastic modulus, yield stress and Poisson's ratio), theoretical solutions are developed. Furthermore, a numerical investigation via ANSYS Workbench has been performed to validate the analytical solution. As the results show the obtained properties of the proposed structures are suitable for application of bone implant. Furthermore, the mechanical properties of each layer of structure have been calculated.