An analytical solution for the radial and tangential displacements on a thin hemispherical layer of articular cartilage.
An analytical solution for the radial and tangential displacements on a thin hemispherical layer of articular cartilage.
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关节软骨薄半球层上的径向和切向位移的解析解。
DOI：
10.1007/s10237-010-0234-6
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发表时间：
2011
影响因子：
3.5
通讯作者：
Félix Quiñonez A
中科院分区：
文献类型：
--
作者：
Félix Quiñonez A
对于与刚性基础牢固粘合的多孔弹性关节软骨半球形薄层表面上的径向和切向位移，获得了简化的解析解。施加根据旋转抛物面分布的静压力，模拟多孔压头对软骨的压缩。求解方法采用渐近级数的形式并使用拉普拉斯变换。分析预测与文献中报道的双相关节软骨的行为定性一致。还针对与自然髋关节相关的条件与使用商用有限元建模（FEM）软件进行的数值模拟进行了直接比较，结果显示总体上具有良好的定量一致性。
A simplified analytical solution has been obtained for the radial and tangential displacements on the surface of a thin, hemispherical layer of porous-elastic articular cartilage firmly bonded to a rigid foundation. A static pressure distributed according to a paraboloid of revolution is applied simulating cartilage compression by a porous indenter. The solution method is in the form of an asymptotic series and uses Laplace transforms. The analytical predictions are in qualitative agreement with the behaviour of biphasic articular cartilage reported in the literature. A direct comparison with numerical simulations using commercially available Finite Element Modelling (FEM) software was also carried out for conditions relevant to natural hip joints and the results show a good quantitative agreement overall.