Analytical beam model revealing bone stresses in femur-implant compound structure

Abstract

We here introduce an analytical model for a preclinical femur-implant compound structure. This model extends standard Euler-Bernoulli-Saint-Venant theory by closed-form expressions for such shear stresses in thin-walled components, which arise from elastic material properties changing at the interfaces between bone and implant materials. Particularly noteworthy are stress singularities occurring at the generators of the cylindrical implants, which intersect the long axis of the bone shaft. This is fully consistent with observed major reorientations of bone fibrils following the implantation event, so that our novel mechanical model clearly indicates a case of micro-mechanobiology.