Abstract
In this paper the numerical implementation of two-scale modelling of bone microstructure is presented. The study is a part of long-term project on bone remodelling which drives bone microstructure change based directly on trabeculae surface energy. The proposed approach is based on a first-order computational homogenization technique. The coincidence of macro- and micro-model kinematics is done with the use of uniform displacement and traction boundary conditions. The computational homogenization procedure is driven by a self-prepared manager which is coded in Python. The computation on real bone structure (a piece of female Wistar rat bone) is performed as well.
Highlights
Bone tissue is a heterogeneous material which can be classified into two basic types, cortical and cancellous
In the case of cancellous bone as microstructure it is impossible to define for each macro level material point corresponding representative volume element (RVE)
The presented two-scale modelling procedure is examined for finite element modelling of a real bone
Summary
Bone tissue is a heterogeneous material which can be classified into two basic types, cortical and cancellous. The simplest one bases on a rule of mixtures In this case, the homogenized properties are calculated as an average over the particular properties of ingredients, which are weighed with their volume fractions. The other method assumes an effective medium approximation [9,17,26] which can be used only for structures which have regular and patterned geometry In this method the equivalent material properties are calculated based on an analytical solution of a boundary value problem. It cannot take into consideration the non-regular microstructure of cancellous bone. Comput Mech (2014) 54:287–298 directly on detail geometry of cancellous bone microstructure
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
