Context. Bone disorders like osteoporosis as well as active lifestyles increase the occurrence of bone fractures and joints damage. In orthopaedic and dental surgery, the implantation of biomaterials within bone tissue to restore the integrity of the treated organ has become a standard procedure. Their long-term stability relies on osseointegration phenomena, where bone grows onto and around metallic implants, creating a bone-implant interface. The bone tissue is a highly hierarchical material which evolves spatially and temporally during this healing phase. A deeper understanding of its biomechanical characteristics is needed, as they are determinant for the surgical success. In this context, we propose a multiscale homogenization model to compute the effective elastic properties of bone tissue (macroscale) as a function of the distance from the implant, based on the structure and composition at lower scales.