Laboratorio di Tecnologia Medica, Istituto Ortopedico Rizzoli, Bologna, Italy.
J Biomech. 2011 Aug 11;44(12):2259-66. doi: 10.1016/j.jbiomech.2011.05.038. Epub 2011 Jun 30.
It has not been demonstrated whether the human proximal femur behaves linearly elastic when loaded to failure. In the present study we tested to failure 12 cadaveric femurs. Strain was measured (at 5000Hz) on the bone surface with triaxial strain gages (up to 18 on each femur). High-speed videos (up to 18,000frames/s) were taken during the destructive test. To assess the effect of tissue preservation, both fresh-frozen and formalin-fixed specimens were tested. Tests were carried out at two strain-rates covering the physiological range experienced during daily motor tasks. All specimens were broken in only two pieces, with a single fracture surface. The high-speed videos showed that failure occurred as a single abrupt event in less than 0.25ms. In all specimens, fracture started on the lateral side of the neck (tensile stress). The fractured specimens did not show any sign of permanent deformation. The force-displacement curves were highly linear (R(2)>0.98) up to 99% of the fracture force. When the last 1% of the force-displacement curve was included, linearity slightly decreased (minimum R(2)=0.96). Similarly, all force-strain curves were highly linear (R(2)>0.98 up to 99% of the fracture force). The slope of the first part of the force-displacement curve (up to 70% fracture force) differed from the last part of the curve (from 70% to 100% of the fracture force) by less than 17%. Such a difference was comparable to the fluctuations observed between different parts of the curve. Therefore, it can be concluded that the proximal femur has a linear-elastic behavior up to fracture, for physiological strain-rates.
尚未证明人体股骨近端在失效时是否呈线弹性。本研究中,我们对 12 具尸体股骨进行了失效测试。在骨表面用三轴应变计(每根股骨最多 18 个)测量应变(频率为 5000Hz)。在破坏性测试过程中,拍摄高速视频(最高可达 18000 帧/秒)。为了评估组织保存的影响,对新鲜冷冻和福尔马林固定的标本进行了测试。测试在两种应变率下进行,涵盖了日常运动任务中经历的生理范围。所有标本均仅断裂成两块,具有单一的断裂面。高速视频显示,在不到 0.25ms 的时间内,失效发生为单一突然事件。在所有标本中,断裂始于颈的外侧(拉伸应力)。断裂的标本没有显示任何永久变形的迹象。力-位移曲线在高达断裂力的 99%时高度线性(R(2)>0.98)。当包括力-位移曲线的最后 1%时,线性度略有下降(最小 R(2)=0.96)。同样,所有力-应变曲线都高度线性(在高达断裂力的 99%时 R(2)>0.98)。力-位移曲线的第一部分(高达断裂力的 70%)的斜率与曲线的最后一部分(从断裂力的 70%到 100%)之间的差异小于 17%。这种差异与曲线不同部分之间观察到的波动相当。因此,可以得出结论,在生理应变率下,股骨近端在失效前具有线弹性行为。