BibTex format
@inproceedings{Phillips:2019,
author = {Phillips, A},
title = {Modelling Trabecular Bone as a Voronoi Structure},
year = {2019}
}
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TY - CPAPER
AB - Structural finite element models of trabecular boneadaptation within the femur(1) and pelvis(2) usedrandomized networks of truss elements with straindue to axial force used as a driver for adaptation oftrabeculae cross-sectional areas. At the macro-scalethe adapted models successfully highlightedtrabecular trajectories and were used to predictfracture initiation and progression, in the femoralneck(3). The use of a truss network requires a highnodal connectivity (NC) defined as the number ofstructural elements representing trabeculaeconnecting to each node, in order to maintainstructural and computational stability. A minimumNC of 6 results from the orthotropic nature of theprincipal stress directions that bone is believed toform trajectories along, while higher NCs are requiredto resist multiple load cases that introduce sheardue to off axis loading compared to the principalstress directions obtained when adaptation is carriedout for a single load case.Recent micro-CT studies characterising the structuralarchitecture of trabecular bone(4) contradict thetrajectory hypothesis indicating frequent NC valuesof 3 and 4 with nodes having common structuralarrangements or motifs. A Voronoi network is astructural form that provides an abundance of nodeswith a NC of 4. The Voronoi method of partitioningspace around control points is implemented inRhino using the Grasshopper parametric designtool to create a network as a collection of node andelement definitions. The Abaqus finite elementsolver is used to analyse this network using beamelements with strains developed due to axial force,biaxial bending and torsion moments. An extendedbone adaptation approach is used to adapt thecross-sectional properties at multiple points alongthe length of each trabeculae.Initial results suggest using a Voronoi network is apromising approach to model trabecular boneadaptation and fatigue micro-fracture. Ongoingwork will investigate the iterative placement of thecontrol points used to construct
AU - Phillips,A
PY - 2019///
TI - Modelling Trabecular Bone as a Voronoi Structure
ER -