A finite element study on the effects of disorder in cellular structures

Luxner, Mathias H.; Woesz, Alexander; Stampfl, Juergen; Fratzl, Peter; Pettermann, H.E.

doi:10.1016/j.actbio.2008.07.025

Cited by 51 publications

(25 citation statements)

References 24 publications

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“…In the disordered structures, load was unevenly redistributed and this prevented the formation of localized regions with yielded trabeculae. This finding is in agreement with previous works on cellular structures (Luxner et al 2007(Luxner et al , 2009. It should be mentioned that a secondary effect of increasing disorder was an increase in the relative density of the lattice due to an increase in the average length of individual trabeculae.…”

Section: (C) (D)supporting

confidence: 93%

“…Introducing structural perturbations did not substantially change the bending-dominated deformations. In contrast, when disorder is introduced in regular cubic lattices (without an implant) that are tested in compression, the deformation mechanism changes form beam-compression to beam-bending so that the overall apparent stiffness decreases drastically (Luxner et al 2009;Jensen et al 1990). For the ultimate pull-out force, the role of disorder was stronger: Lattices with 40% perturbations showed an almost 80% higher pull-out force.…”

Section: (C) (D)mentioning

confidence: 92%

“…For each reduction in relative density due to trabecular loss, 5 different structures were generated. In all three scenarios, BV /T V was reduced by 5%, 15%, 25%, and 35% starting from an initial value for the intact lattice of 23.8% Structural disorder was introduced in the cubic lattice by shifting the trabecular intersections in random directions by a fixed amount α (Yeh and Keaveny 1999;Luxner et al 2009;Jensen et al 1990). Only intersections with a coordination number 6 (i.e., with 6 trabeculae coming together at the intersection) were perturbed.…”

Section: Parameters Investigatedmentioning

confidence: 99%

See 2 more Smart Citations

Mechanisms of reduced implant stability in osteoporotic bone

Ruffoni

Müller

Lenthe

2011

Biomech Model Mechanobiol

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The determining factors for the fixation of uncemented screws in bone are the bone-implant interface and the peri-implant bone. The goal of this work was to explore the role of the peri-implant bone architecture on the mechanics of the bone-implant system. In particular, the specific aims of the study were to investigate: (i) the impact of the different architectural parameters, (ii) the effects of disorder, and (iii) the deformations in the peri-implant region. A three-dimensional beam lattice model to describe trabecular bone was developed. Various microstructural features of the lattice were varied in a systematic way. Implant pull-out tests were simulated, and the stiffness and strength of the bone-implant system were computed. The results indicated that the strongest decrease in pull-out strength was obtained by trabecular thinning, whereas pull-out stiffness was mostly affected by trabecular removal. These findings could be explained by investigating the peri-implant deformation field. For small implant displacements, a large amount of trabeculae in the peri-implant region were involved in the load transfer from implant to bone. Therefore, trabecular removal in this region had a strong negative effect on pull-out stiffness. Conversely, at higher displacements, deformations mainly localized in the trabeculae in contact with the implant; hence, thinning those trabeculae produced the strongest decrease in the strength of the system. Although idealized, the current approach is helpful for a mechanical understanding of the role played by peri-implant bone.

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Section: (C) (D)supporting

confidence: 93%

Section: (C) (D)mentioning

confidence: 92%

Section: Parameters Investigatedmentioning

confidence: 99%

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Mechanisms of reduced implant stability in osteoporotic bone

Ruffoni

Müller

Lenthe

2011

Biomech Model Mechanobiol

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“…Several researchers have studied the relationship between the micro-architecture and mechanical properties of porous structures based on different types of unit cells including those based on the cube [3,[19][20][21], rhombic dodecahedron [1,3,[22][23][24], tetrakaidecahedrons [25,26], Weaire-Phelan [27][28][29], 3D-Kagome [30,31], Pyramidal [30], and diamond [3,32] unit cells. For some of those unit cells, analytical relationships have been obtained for prediction of the mechanical properties of porous structures given the design of their microarchitecture.…”

Section: Introductionmentioning

confidence: 99%

Mechanics of additively manufactured porous biomaterials based on the rhombicuboctahedron unit cell

Hedayati

Sadighi

Aghdam

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…The deformation localization due to structural disorder and different kinds of structural irregularities in two-dimensional (Ruffoni et al, 2010) and three-dimensional (Luxner et al, 2009) cellular structures under external mechanical loads have been widely investigated using finite element methods and micro-mechanical models. However, the swelling (expansion) behavior of cellular solids has not been studied to the same extent.…”

Section: Introductionmentioning

confidence: 99%