Park S, Hung C T, Ateshian G A
Columbia University, Department of Mechanical Engineering, New York, NY 10027, USA.
Osteoarthritis Cartilage. 2004 Jan;12(1):65-73. doi: 10.1016/j.joca.2003.08.005.
The objective of this study was to characterize the dynamic modulus and compressive strain magnitudes of bovine articular cartilage at physiological compressive stress levels and loading frequencies.
Twelve distal femoral cartilage plugs (3mm in diameter) were loaded in a custom apparatus under load control, with a load amplitude up to 40 N and loading frequencies of 0.1, 1, 10 and 40 Hz, resulting in peak Cauchy stress amplitudes of 4.8 MPa (engineering stress 5.7 MPa).
The equilibrium Young's modulus under a tare load of 0.4N was 0.49+/-0.10 MPa. In the limit of zero applied stress, the incremental dynamic modulus derived from the slope of the stress-strain curve increased from 14.6+/-6.9 MPa at 0.1 Hz to 28.7+/-7.8 MPa at 40 Hz. At 4 MPa of applied stress, the corresponding increase was from 48.2+/-13.5 MPa at 0.1 Hz to 64.8+/-13.0 MPa at 40 Hz. Peak compressive strain amplitudes varied from 15.8+/-3.4% at 0.1 Hz to 8.7+/-1.8% at 40 Hz. The phase angle decreased from 28.8 degrees +/-6.7 degrees at 0.1 Hz to-0.5 degrees +/-3.8 degrees at 40 Hz.
These results are representative of the functional properties of articular cartilage under physiological load magnitudes and frequencies. The viscoelasticity and nonlinearity of the tissue helps to maintain the compressive strains below 20% under the physiological compressive stresses achieved in this study. These findings have implications for our understanding of cartilage metabolism and chondrocyte viability under various loading regimes. They also help establish guidelines for cartilage functional tissue engineering studies.
本研究的目的是在生理压缩应力水平和加载频率下,表征牛关节软骨的动态模量和压缩应变大小。
将十二个直径为3毫米的股骨远端软骨塞在定制装置中进行负载控制加载,负载幅度高达40牛,加载频率为0.1、1、10和40赫兹,产生的柯西应力峰值幅度为4.8兆帕(工程应力5.7兆帕)。
在0.4牛的空载负载下,平衡杨氏模量为0.49±0.10兆帕。在零施加应力的极限情况下,从应力-应变曲线斜率得出的增量动态模量从0.1赫兹时的14.6±6.9兆帕增加到40赫兹时的28.7±7.8兆帕。在4兆帕的施加应力下,相应的增加是从0.1赫兹时的48.2±13.5兆帕增加到40赫兹时的64.8±13.0兆帕。峰值压缩应变幅度从0.1赫兹时的15.8±3.4%变化到40赫兹时的8.7±1.8%。相位角从0.1赫兹时的28.8度±6.7度减小到40赫兹时的-0.5度±3.8度。
这些结果代表了关节软骨在生理负载大小和频率下的功能特性。组织的粘弹性和非线性有助于在本研究中达到的生理压缩应力下将压缩应变保持在20%以下。这些发现对于我们理解不同加载方式下的软骨代谢和软骨细胞活力具有重要意义。它们还有助于为软骨功能组织工程研究建立指导原则。