Table I.
Material properties of bone and bone-like substances. The parameters listed are longitudinal sound velocity (cl), shear velocity (cs), density (ρ) and Poisson’s ratio (ν). Note that the values for cancellous bone refer to only to the trabecular component, not to the composite medium consisting of the trabecular matrix filled with either marrow (in vivo) or water (in vitro).
Reference | Substance | cl (m/s) | cs (m/s) | ρ (g/cc) | υ |
---|---|---|---|---|---|
Hosokawa & Otani, [40] | Bovine cancellous bone | 3800 | 2000 | 1.95 | 0.32 |
Anderson et al., [102] | Hydroxyapatite | 6790 | 3.22 | 0.28 | |
Luo et al., [45] | Cortical bone | 2900 | 1303 | 1.85 | |
Gong et al., [103] | Bovine cancellous bone | 1.93 | |||
Lang et al., [104] | Bovine cortical bone | 1.96 | 0.32 | ||
Williams, [105] | Bovine cancellous bone | 3800 * | |||
Rho et al., [106] | Bovine cancellous bone | 2898±85 | |||
Ashman et al., [107] | Human cancellous bone | 2639−2754 | 1.73−1.80 | ||
- | Bovine cancellous bone | 2501 | 1.74 | ||
Grenoble et al., [99] † | Powdered human femur | 3917 | 2020 | 0.33 | |
- | Fresh bovine femur | 4890 | 2495 | 0.34 | |
- | Hydroxyapatite (mineral) | 5565 | 4765 | 0.27 | |
- | Hydroxyapatite (synth.) | 5628 | 4818 | 0.28 |
Extrapolated (to zero porosity) from bulk measurements over a range of porosities (where porosity is the volume fraction of marrow). See (J. L. Williams, 1992), figure 2.
Assuming ρ = 1.96 gm/cc.