Convergence Behavior of High-Resolution Finite Element Models of Trabecular bone  

Oleh:

Keaveny, T. M. ; Hsia, A. C. ; Niebur, G. L. ; Yuen, J. C.

Jenis: Article from Bulletin/Magazine
Dalam koleksi: Journal of Biomechanical Engineering vol. 121 no. 6 (1999), page 629-635.
Topik: finite element; convergence behaviour; high - resolution; finite element; trabecular bone

Ketersediaan

Perpustakaan Pusat (Semanggi) Nomor Panggil: JJ52.1 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

The convergence behaviour of finite element models depends on the size of elements used, the element polynomial order, and on the complexity of the applied loads. For high-resolution models of trabecular bone, changes in architecture and density may also be important. The goal of this study was to investigate the influence of these factors on the convergence behaviour of high-resolution models of trabecular bone. Two human vertebral and two bovine tibial trabecular bone specimens were modeled at four resolutions ranging from 20 to 80 µm and subjected to both compressive and shear loading. Results indicated that convergence behaviour depended on both loading mode (axial versus shear) and volume fraction of the specimen. Compared to the 20 µm resolution, the differences in apparent Young's modulus at 40 µm resolution were less than 5 percent for all specimens, and for apparent shear modulus were less than 7 percent. By contrast, differences at 80 µm resolution in apparent modulus were up to 41 percent, depending on the specimen tested and loading mode. Overall, differences in apparent properties were always less than 10 percent when the ratio of mean trabecular thickness to element size was greater than four. Use of higher order elements did not improve the results. Tissue level parameters such as maximum principal strain did not converge. Tissue level strains converged when considered relative to a threshold value, but only if the strains were evaluated at Gauss points rather than element centroids. These findings indicate that good convergence can be obtained with this modeling technique, although element size should be chosen based on factors such as loading mode, mean trabecular thickness, and the particular output parameter of interest.

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