Modeling the change in the stiffness parameters of bone tissue under the influence of external loads

Abstract

© Published under licence by IOP Publishing Ltd. The paper considers the problem of restructuring trabecular bone tissue under external loads. The evolutionary relationships was used in Cowin statement, changes of orientation of the pores was described in terms of the fabric tensor and the volume fraction of solid bone. To estimate the elastic properties, the mechanical constants were recalculated according to the actual states of the fabric tensor. The process of bone remodeling of a rounded rectangular area under external loads was simulated; using the theory of lazy zone and physical relations, the initial value of the change in the proportion of solid bone volume is obtained. The initial state was given by a homogeneous porous state. The boundary-value problem was solved by the finite element method, and the initial problem was solved by the method of finite differences. As a result, fields were obtained for the distribution of the mechanical properties of bone tissue in the region.