Preliminary Computational Tool for Simulating bone Remodelling

Abstract

BONE has always been a research interest for many designers and biologists due to its unique characteristics like optimum geometry, viscoelastic behaviour, self -adaptation ability and fracture healing. The present work is also a small endeavour inunderstanding theBone remodelling through optimization approach .The paper focuses on the ideal cross-section of a human tibia in order to get the optimized area moment of inertia so that Bone can withstand the bending stresses which may lead to fractures .The idea is to make a Bone of maximum stiffness leading to minimum strain energy with a constant value of Young’s modulus of elasticity. The objective function chosen is the minimization of strain energy density with the variables as inner and outer diameters of Bone,when considered as long circular hollow shaft .(Turner 2006)As the main strength tool of Bone is the cortical Bone i.e. the outer Bone,I found it suitable to take the Bone as a hollow shaft.