Digital image based finite element analysis for bone microstructure using conjugate gradient and Gaussian filter techniques

Hollister, Scott J.; Riemer, Barbara A.

Affiliations

¹Orthopaedic Research Laboratories, Section of Orthopaedic Surgery, and the Bioengineering Program, The University of Michigan, Rm. G-0161, 400 N. Ingalls Bldg., Ann Arbor, Ml 48109-0486

Abstract

Analyzing bone micromechanics has become increasingly necessary for understanding how bone structure is adapted in response to mechanical stimulus. The complex geometry of bone microstructure makes it difficult to use traditional finite element techniques for analysis. The use of a finite element modeling procedure based on direct mesh generation from digital images using an Element-By-Element Preconditioned Conjugate Gradient solution technique for analyzing bone microstructure was presented. The results from digitized meshes were compared to smooth mesh results for microstructures of regular geometry to assess the digitized solutions. The digitized solutions were found to match the smooth mesh solutions well except near material boundaries where the digitized solutions exhibited numerical oscillations. A smoothing procedure utilizing Gaussian Filter techniques was investigated for smoothing solution oscillations, but results indicated that the filtering techniques did not significantly smooth the oscillations. In conclusion, digital image based finite element analysis will produce reasonably accurate estimates of stress and strain within microstructures but smoothing techniques for numerical oscillations at material boundaries need to be developed.

Links

DOI: 10.1117/12.146616

WoS: A1993BY45M00010

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Cited By (16)

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2008	MacNeil JA, Boyd SK. Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. Bone. June 2008;42(6):1203-1213.
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