Anisotropy of Young's modulus of human tibial cortical bone

Citation
Bk. Hoffmeister et al., Anisotropy of Young's modulus of human tibial cortical bone, MED BIO E C, 38(3), 2000, pp. 333-338
Citations number
30
Categorie Soggetti
Multidisciplinary,"Instrumentation & Measurement
Journal title
MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING
ISSN journal
01400118 → ACNP
Volume
38
Issue
3
Year of publication
2000
Pages
333 - 338
Database
ISI
SICI code
0140-0118(200005)38:3<333:AOYMOH>2.0.ZU;2-X
Abstract
The anisotropy of Young's modulus in human cortical bone was determined for all spatial directions by performing coordinate rotations of a 6 by 6 elas tic stiffness matrix. The elastic stiffness coefficients were determined ex perimentally from ultrasonic velocity measurements on 96 samples of normal cortical bone removed from the right tibia of eight human cadavers. The fol lowing measured values were used for our analysis: c(11) = 19.5 GPa, c(22) = 20.1 GPa, c(33) = 30.9 GPa, c(44) = 5.72 GPa, c(55) = 5.17 GPa, c(66) = 4 .05 GPa, c(23) = 12.5 GPa. The remaining coefficients were determined by as suming that the specimens possessed at least an orthorhombic elastic symmet ry, and further assuming that c(13) = c(23) c(12) = c(11) - 2c(66). Our ana lysis revealed a substantial anisotropy in Young's modulus in the plane con taining the long axis of the tibia, with maxima of 20.9 GPa parallel to the long axis, and minima of 11.8 GPa perpendicular to this axis. A less prono unced anisotropy was observed in the plane perpendicular to the long axis o f the tibia. To display our results for the full three-dimensional anisotro py of cortical bone, a closed surface was used to represent Young's modulus in all spatial directions.