Choi K, Kuhn J L, Ciarelli M J, Goldstein S A
Biomechanics, Trauma, and Sports Medicine Laboratory, University of Michigan, Ann Arbor.
J Biomech. 1990;23(11):1103-13. doi: 10.1016/0021-9290(90)90003-l.
The elastic moduli of human subchondral, trabecular, and cortical bone tissue from a proximal tibia were experimentally determined using three-point bending tests on a microstructural level. The mean modulus of subchondral specimens was 1.15 GPa, and those of trabecular and cortical specimens was 4.59 GPa and 5.44 GPa respectively. Significant differences were found in the modulus values between bone tissues, which may have mainly resulted from the differences in the microstructures of each bone tissue rather than in the mineral density. Furthermore, the size-dependency of the modulus was examined using eight different sizes of cortical specimens (heights h = 100-1000 microns). While the modulus values for relatively large specimens (h greater than 500 microns) remained fairly constant (approximately 15 GPa), the values decreased as the specimens became smaller. A significant correlation was found between the modulus and specimen size. The surface area to volume ratio proved to be a key variable to explain the size-dependency.
通过在微观结构水平上进行三点弯曲试验，实验测定了取自胫骨近端的人体软骨下骨、松质骨和皮质骨组织的弹性模量。软骨下骨标本的平均模量为1.15吉帕，松质骨和皮质骨标本的平均模量分别为4.59吉帕和5.44吉帕。在不同骨组织之间发现了模量值的显著差异，这可能主要是由于每种骨组织微观结构的差异，而非矿物质密度的差异。此外，使用八种不同尺寸的皮质骨标本（高度h = 100 - 1000微米）研究了模量的尺寸依赖性。虽然相对较大标本（h大于500微米）的模量值保持相当恒定（约15吉帕），但随着标本尺寸变小，模量值会降低。在模量与标本尺寸之间发现了显著的相关性。表面积与体积之比被证明是解释尺寸依赖性的关键变量。
