ArticleJournal of biomechanical engineering2015
The quartic piecewise-linear criterion for the multiaxial yield behavior of human trabecular bone.
Article in Journal of biomechanical engineering, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Using Non-linear Homogenization to Improve the Performance of Macroscopic Damage Models of Trabecular Bone.Frontiers in physiology · 2018Article
- Effect of including damage at the tissue level in the nonlinear homogenisation of trabecular bone.Biomechanics and modeling in mechanobiology · 2017Article
- Isotropic Failure Criteria Are Not Appropriate for Anisotropic Fibrous Biological Tissues.Journal of biomechanical engineering · 2017Article
- Finite Element-Based Mechanical Assessment of Bone Quality on the Basis of In Vivo Images.Current osteoporosis reports · 2016Review
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3 authors.
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Abstract
Prior multiaxial strength studies on trabecular bone have either not addressed large variations in bone volume fraction and microarchitecture, or have not addressed the full range of multiaxial stress states. Addressing these limitations, we utilized micro-computed tomography (lCT) based nonlinear finite element analysis to investigate the complete 3D multiaxial failure behavior of ten specimens (5mm cube) of human trabecular bone, taken from three anatomic sites and spanning a wide range of bone volume fraction (0.09–0.36),mechanical anisotropy (range of E3/E1¼3.0–12.0), and microarchitecture. We found that most of the observed variation in multiaxial strength behavior could be accounted for by normalizing the multiaxial strength by specimen-specific values of uniaxial strength (tension,compression in the longitudinal and transverse directions). Scatter between specimens was reduced further when the normalized multiaxial strength was described in strain space.The resulting multiaxial failure envelope in this normalized-strain space had a rectangular boxlike shape for normal–normal loading and either a rhomboidal box like shape or a triangular shape for normal-shear loading, depending on the loading direction. The finite element data were well described by a single quartic yield criterion in the 6D normalized strain space combined with a piecewise linear yield criterion in two planes for normalshear loading (mean error SD: 4.660.8% for the finite element data versus the criterion).This multiaxial yield criterion in normalized-strain space can be used to describe the complete 3D multiaxial failure behavior of human trabecular bone across a wide range of bone volume fraction, mechanical anisotropy, and microarchitecture.
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