Combined compression and elongation experiments and non-linear modelling of liver tissue for surgical simulation
Combined compression and elongation experiments and non-linear modelling of liver tissue for surgical simulation
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DOI：
10.1007/bf02345212
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发表时间：
2004-11-01
影响因子：
3.2
通讯作者：
Sakuma, I
中科院分区：
文献类型：
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作者：
Chui, C;Kobayashi, E;Sakuma, I
单轴应力-应变数据来自20个猪肝的体外实验，包括压缩、拉伸和压缩拉伸循环。大约有70个圆柱形样品，直径为7 mm，高度不同（4-11 mm）。组合的压缩和伸长测试为诸如计算机辅助手术模拟的应用提供了压缩和伸长的统一框架。它使实验肝脏样品的零应力状态能够被精确地确定。提出了一个新的方程，结合对数和多项式应变能的形式，在模拟这些实验数据。不可压缩性的假设是根据伸长和压缩的初步泊松比分别为0.43 +/- 0.16和0.47 +/- 0.15来证明的。该方程提供了一个很好的适合在压缩-拉伸周期和单独的压缩或拉伸过程中观察到的肝脏的机械性能。均方根误差分别为91.92 +/- 17.43 Pa、57.55 +/- 13.23 Pa和29.78 +/- 17.67 Pa。与现有的应变能函数相比，该组合模型是更好的本构方程。将该理论模型应用于小的肝脏样品和其他组织，证明了其作为软组织材料模型的适用性。
Uniaxial stress-strain data were obtained from in vitro experiments on 20 porcine livers for compressions, elongations and cycles of compression and then elongation. There were about 70 cylindrical samples, with diameter 7mm and varying height (4-11 mm). The combined compression and elongation test provide a unified framework for both compression and elongation for applications such as computer-aided surgical simulation. It enable the zero stress state of the experimental liver sample to be precisely determined. A new equation that combined both logarithmic and polynomial strain energy forms was proposed in modelling these experimental data. The assumption of incompressibility was justified from a preliminary Poisson's ratio for elongation and compression at 0.43 +/- 0.16 and 0.47 +/- 0.15, respectively. This equation provided a good fit for the observed mechanical properties of liver during compression-elongation cycles and for separate compressions or elongations. The root mean square errors were 91.92 +/- 17.43 Pa, 57.55 +/- 13.23 Pa and 29.78 +/- 17.67 Pa, respectively. In comparison with existing strain energy functions, this combined model was the better constitutive equation. Application of this theoretical model to small liver samples and other tissues demonstrated its suitability as the material model of choice for soft tissue.