Bone is a hierarchical structural material, since several organizational levels can be identified from the macroscale to the nanoscale. The two top levels corresponding to the entire bone and trabecular structure respectively show a suitable distribution of physical properties, such as bone density and corresponding mechanical properties, to achieve the functional requirements of bone tissue. In this work a three-dimensional model for bone remodelling is developed taking into account the hierarchical structure of bone. The process of bone tissue adaptation is mathematically described with respect to functional demands, both mechanical and biological factors, to obtain the bone apparent density distribution (at the macroscale) and the trabecular structure (at the microscale). At global scale bone is assumed as a continuum material characterized by equivalent (homogenized) mechanical properties. At local scale a locally periodic cellular material model approaches bone trabecular anisotropy in terms of mechanical properties. For each scale there is a material distribution problem governed by density based design variables which at the global level can be identified with bone relative density .
|Title of host publication||ECCOMAS|
|Publication status||Published - 1 Jan 2008|
|Event||8th World Congress on Computational Mechanics - |
Duration: 1 Jan 2008 → …
|Conference||8th World Congress on Computational Mechanics|
|Period||1/01/08 → …|