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Article
The Response of Cranial Biomechanical Finite Element Models to Variations in Mesh Density
The Anatomical Record
  • Jen A. Bright, University of Bristol
  • Emily J. Rayfield, University of Bristol
Document Type
Article
Publication Date
4-1-2011
Keywords
  • finite element analysis,
  • convergence,
  • skull,
  • biomechanics,
  • feeding
Digital Object Identifier (DOI)
https://doi.org/10.1002/ar.21358
Disciplines
Abstract

Finite element (FE) models provide discrete solutions to continuous problems. Therefore, to arrive at the correct solution, it is vital to ensure that FE models contain a sufficient number of elements to fully resolve all the detail encountered in a continuum structure. Mesh convergence testing is the process of comparing successively finer meshes to identify the point of diminishing returns; where increasing resolution has marginal effects on results and further detail would become costly and unnecessary. Historically, convergence has not been considered in most CT‐based biomechanical reconstructions involving complex geometries like the skull, as generating such models has been prohibitively time‐consuming. To assess how mesh convergence influences results, 18 increasingly refined CT‐based models of a domestic pig skull were compared to identify the point of convergence for strain and displacement, using both linear and quadratic tetrahedral elements. Not all regions of the skull converged at the same rate, and unexpectedly, areas of high strain converged faster than low‐strain regions. Linear models were slightly stiffer than their quadratic counterparts, but did not converge less rapidly. As expected, insufficiently dense models underestimated strain and displacement, and failed to resolve strain “hot‐spots” notable in contour plots. In addition to quantitative differences, visual assessments of such plots often inform conclusions drawn in many comparative studies, highlighting that mesh convergence should be performed on all finite element models before further analysis takes place.

Citation / Publisher Attribution

The Anatomical Record, v. 294, issue 4, p. 610-620

Citation Information
Jen A. Bright and Emily J. Rayfield. "The Response of Cranial Biomechanical Finite Element Models to Variations in Mesh Density" The Anatomical Record Vol. 294 Iss. 4 (2011) p. 610 - 620
Available at: http://works.bepress.com/jen-bright/14/