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The aim of this work is to develop a 3D finite elements model to study thenanomechanical behaviour of mineralized collagen microfibrils, which consistsof three phases, (i) collagen phase formed by five tropocollagen (TC) moleculeslinked together with cross links, (ii) a mineral phase (Hydroxyapatite) and(iii) impure mineral phase, and to investigate the important role of individualproperties of every constituent. The mechanical and the geometrical properties(TC molecule diameter) of both tropocollagen and mineral were taken intoconsideration as well as cross-links, which was represented by spring elementswith adjusted properties based on experimental data. In the present paper anequivalent homogenised model was developed to assess the whole microfibrilmechanical properties (Young's modulus and Poisson's ratio) under varyingmechanical properties of each phase. In this study both equivalent Young'smodulus and Poisson's ratio which were expressed as functions of Young'smodulus of each phase were obtained under tensile load with symmetric andperiodic boundary conditions.

Finite element 3D modeling of mechanical behavior of mineralized collagen microfibrils