Fabric and elastic principal directions of cancellous bone are closely related

作者: Anders Odgaard , Jesper Kabel , Bert van Rietbergen , Michel Dalstra , Rik Huiskes

DOI: 10.1016/S0021-9290(96)00177-7

关键词: AnisotropyFinite element methodTensorOrientation (geometry)GeometryMaterial propertiesMeasure (mathematics)Matrix (mathematics)Materials scienceCancellous boneStructural engineering

摘要: Abstract Cancellous bone architecture and mechanics are intimately related. The trabecular of cancellous is considered determined by its mechanical environment (Wolff's law), the properties inversely material properties. Much effort has been spent in expressing these relations, but techniques variables necessary for this have not fully identified. it obvious, however, that some measure architectural anisotropy (fabric) needed. Within last few years, volume-based measures fabric introduced as alternatives to mean intercept length method, which theoretical problems. This paper seeks answer four different best predicts finite element calculated directions. Twenty-nine specimens were three-dimensionally reconstructed using automated serial sectioning technique. A series large-scale finite-element analyses performed on each three-dimensional reconstructions calculate compliance matrix specimen, from principal directions derived. architcctural was space specimen (MIL), volume orientation (VO), star distribution (SVD) (SLD). Each results expressed a tensor. Architectural main tensors compared with FE-calculated All predicted rather well, supports assumption aligned MIL showed significant, though very small (1.4°), deviation primary direction. VO had difficulty determining secondary tertiary directions; mcan 8.9°. SVD SLD provided marginally better predictors than VO.

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