Abstract
Bone remodels its structural shape adapting to the mechanical environment, and some optimality has been speculated at the adapted state. This article exerts the mathematical model of bone remodeling reported previously in generating an appropriate structural shape under the specified mechanical condition. The density of the internal structure and the initial strain in the lattice continuum are altered iteratively by referring to the nonuniformity of effective stress. The basic characteristics of the proposed idea are examined with a simple tensioned structure by finite element simulation. Case studies are conducted for rectangular blocks with different conditions, and the structural geometry and/or topology is resulted corresponding to the individual mechanical condition. It is demonstrated that the adaptation model of living bone has the capability to suggest the structural geometry and topology as the framed and/or composite structure having mechanical anisotropy, nonuniform density and residual strain.
