An explicit micro-FE approach to investigate the post-yield behaviour of trabecular bone under large deformations

International Journal for Numerical Methods in Biomedical Engineering
Benjamin WernerPhilippe Zysset

Abstract

Homogenised finite element (FE) analyses are able to predict osteoporosis-related bone fractures and become useful for clinical applications. The predictions of FE analyses depend on the apparent, heterogeneous, anisotropic, elastic, and yield material properties, which are typically determined by implicit micro-FE (μFE) analyses of trabecular bone. The objective of this study is to explore an explicit μFE approach to determine the apparent post-yield behaviour of trabecular bone, beyond the elastic and yield properties. The material behaviour of bone tissue was described by elasto-plasticity with a von Mises yield criterion closed by a planar cap for positive hydrostatic stresses to distinguish the post-yield behaviour in tension and compression. Two ultimate strains for tension and compression were calibrated to trigger element deletion and reproduce damage of trabecular bone. A convergence analysis was undertaken to assess the role of the mesh. Thirteen load cases using periodicity-compatible mixed uniform boundary conditions were applied to three human trabecular bone samples of increasing volume fractions. The effect of densification in large strains was explored. The convergence study revealed a strong dependence of the a...Continue Reading

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Citations

Oct 18, 2020·Current Osteoporosis Reports·Dieter H Pahr, Andreas G Reisinger
Feb 2, 2021·Journal of the Mechanical Behavior of Biomedical Materials·Vasiliki C PanagiotopoulouPeter Varga
Dec 8, 2020·Computer Methods and Programs in Biomedicine·Fereshteh A SabetIwona Jasiuk
Mar 5, 2021·Computer Methods and Programs in Biomedicine·Mohammadjavad EinafsharG Harry van Lenthe
Jul 27, 2021·Biomechanics and Modeling in Mechanobiology·Zhenzi LiLin Cai

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