Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 167, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2022.104962
Keywords
Bone micromechanics; Multiscale modelling; Numerical homogenization; Finite-element formulation; Osteon elasto-damage mechanics
Funding
- Italian National Group for Mathematical Physics GNFM-INdAM [L.232/2016]
- Italian Ministry of University and Research (MUR)
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In this paper, a multiscale modelling strategy is used to analyze the elasto-damage response of osteons, providing a refined mechanical description of cortical bone tissue. The structural features of osteons and the equivalent mechanical response of their constituents are described. Finite-element techniques are used to simulate the experimental tests of isolated osteons under different loading conditions.
In this paper, a multiscale rationale is applied to develop a bottom-up modelling strategy for analysing the elasto-damage response of osteons, resulting in a first step towards a refined mechanical description of cortical bone tissue at the macroscale. Main structural features over multiple length scales are encompassed. A single osteon is described by considering a multi layered arrangement of cylindrical lamellae and accounting for both lacunar micro-voids and thin interlamellar regions, these latter modelled as soft interfaces. A multi-step homogenization procedure has been conceived and numerically applied to describe the equivalent mechanical response of osteon constituents, upscaling dominant subscale mechanisms. A progressive stress based damage approach has been implemented via a finite-element technique, allowing to describe interlaminar and/or intralaminar brittle failure modes. Proposed approach has been successfully validated by numerically reproducing available experimental tests of isolated osteons under different loading conditions. Present histologically-oriented multiscale model revealed to be sound and consistent, opening towards further insights about the influence on bone biomechanics of through-the-scales biophysical/biochemical alterations, possibly related to ageing or diseases.
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