Cohen B, Lai W M, Mow V C
Department of Mechanical Engineering, Columbia University, New York, NY 10032, USA.
J Biomech Eng. 1998 Aug;120(4):491-6. doi: 10.1115/1.2798019.
Using the biphasic theory for hydrated soft tissues (Mow et al., 1980) and a transversely isotropic elastic model for the solid matrix, an analytical solution is presented for the unconfined compression of cylindrical disks of growth plate tissues compressed between two rigid platens with a frictionless interface. The axisymmetric case where the plane of transverse isotropy is perpendicular to the cylindrical axis is studied, and the stress-relaxation response to imposed step and ramp displacements is solved. This solution is then used to analyze experimental data from unconfined compression stress-relaxation tests performed on specimens from bovine distal ulnar growth plate and chondroepiphysis to determine the biphasic material parameters. The transversely isotropic biphasic model provides an excellent agreement between theory and experimental results, better than was previously achieved with an isotropic model, and can explain the observed experimental behavior in unconfined compression of these tissues.
利用水合软组织的双相理论（莫等人，1980年）以及固体基质的横向各向同性弹性模型，给出了生长板组织圆柱形圆盘在两个无摩擦界面的刚性压板之间进行无侧限压缩的解析解。研究了横向各向同性平面垂直于圆柱轴的轴对称情况，并求解了对施加的阶跃和斜坡位移的应力松弛响应。然后，该解用于分析对牛尺骨远端生长板和软骨骨骺标本进行的无侧限压缩应力松弛试验的实验数据，以确定双相材料参数。横向各向同性双相模型在理论和实验结果之间提供了极好的一致性，比以前使用各向同性模型时更好，并且可以解释这些组织在无侧限压缩中观察到的实验行为。
