Multi-scale constitutive model of human trabecular bone

Abstract The present study aims to formulate a new multiscale constitutive model of human trabecular bone. bone was modelled as nonlinear viscoelastic material. effects single trabeculae were considered by means hereditary integral in which stress depends on time and strain, while the elastic response described hyperelastic Mooney–Rivlin model. cuboid sample extracted from femoral head during hip replacement surgery. material constants equation identified based relaxation test performed microindentation tests using curve-fitting procedure. spherical tip instead Vickers or Berkovich minimize plastic deformation. In order validate formulated model, results FE simulation uniaxial compression compared corresponding experiments conducted macroscopic sample. Good agreement observed between numerical experimental results. behaviour predicted proposed corresponds well under various types load conditions. This demonstrates high ability our simulate micro- scale. Thus, we conclude that for trabecula, can be successfully applied mechanical tissue macroscale.