An anisotropic internal-external bone adaptation model based on a combination of CAO and continuum damage mechanics technologies

Computer Methods in Biomechanics and Biomedical Engineering
J M GarcíaM Doblaré

Abstract

In this work, a complete internal-external bone-remodelling scheme is presented and implemented into a finite element code. This model uses a combination of an anisotropic internal remodelling model based on a new Continuum "Damage-Repair" theory and an external adaptation approach that follows the idea, early introduced by Mattheck et al., to simulate the growth behaviour of biological systems, known as CAO method. This combined scheme qualitatively resembles most of the main features of the bone adaptive behaviour, like the bone mass distribution (heterogeneity and porosity), the directional internal structure (anisotropy), the alignment of the microstructure with the constitutive principal directions and these with those of the stress tensor when permanently loaded by a unique stress state (Wolff's law). It is also thermodynamically consistent, fulfilling a principle of minimum mechanical dissipation. Finally, the comparison between the predicted results and the ones obtained by different experimental tests allows us to conclude that this model is able of reproducing qualitatively the global behaviour of bone tissue when subjected to external mechanical loads.

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Citations

Jan 28, 2003·Journal of Biomechanics·Dieter Christian WirtzFritz Uwe Niethard
May 5, 2005·Journal of Biomechanical Engineering·M J Gómez-BenitoM Doblaré
Oct 18, 2011·Journal of Theoretical Biology·J R FernándezR Martínez
Apr 5, 2014·Computer Methods in Biomechanics and Biomedical Engineering·M Mengoni, J P Ponthot
Nov 30, 2006·Computer Methods in Biomechanics and Biomedical Engineering·Max A BonaKenneth J Fischer
May 3, 2013·Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine·Sander PoelertAmir A Zadpoor
Dec 18, 2013·Journal of Biomechanical Engineering·Alexander S Dickinson
Oct 1, 2006·Innovations : Technology and Techniques in Cardiothoracic and Vascular Surgery·Sudhir SrivastavaVishwa Srivastava
Oct 11, 2005·Computer Methods in Biomechanics and Biomedical Engineering·M D Roberts, R T Hart
Feb 7, 2018·Computers in Biology and Medicine·Jaejong ParkGlaucio H Paulino
Mar 27, 2021·Biomechanics and Modeling in Mechanobiology·Basil MathaiSanjay Gupta
Jun 17, 2021·PLoS Computational Biology·Misaki SakashitaShigeru Kondo
Jun 13, 2021·Bone·José Manuel García-AznarMaría José Gómez-Benito

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