Abstract
Biomechanics is the application of mechanical principles to the modelling and simulation of biological tissues. The manufacturing of functionally graded biomaterials as orthopaedic bone substitutes and implants is possible due to recent developments in additive manufacturing (AM). Despite the fact that biodegradability is an important consideration for tissue regeneration and the avoidance of implant-associated disorders, no functionally graded structures have been 3D-printed from biodegradable materials. The functionally graded biomaterials (FGBs) are a combination of low density, high yield stress and Young's modulus. The present study uses numerical and analytical techniques to compute the mechanical behaviour (Elastic modulus and yield stress) of biomaterials made by repeating unit cells namely bi-pyramid hexagonal lattice structure. The analytical solution was validated through finite element method (ANSYS). Recent developments in additive manufacturing have established that biomaterial may be created using representative volume elements (RVE). In investigating a single unit cell experiencing the loads and boundary conditions sensed in an infinite lattice structure, analytical relationships based on both Euler-Bernoulli and Timoshenko beam theories were derived. Despite the fact that the analytical and numerical results were mostly in agreement, the mechanical properties obtained by the Timoshenko beam theory were closer to the numerical values. The study proved that the computational methodologies to resolve the uncertainty of FGB mechanical properties, allowing for various strategies for designing bioinspired AM biomaterials.
Published Version
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