Kimmel E, Budiansky B
Department of Agricultural Engineering, Technion, Haifa, Israel.
J Biomech Eng. 1990 May;112(2):160-7. doi: 10.1115/1.2891167.
Macroscopic elastic moduli governing the incremental deformations of lung parenchyma are calculated on the basis of a model for an individual lung element in the shape of a regular dodecahedron. Elastic stiffness within the element is provided by pin-jointed tension members along the edges of the dodecahedron, surface tension is incorporated into its pentagonal faces, and the influence of transpulmonary pressure is simulated by an externally applied hydrostatic tension. The analysis is based on a variational statement of nonlinear structural mechanics, and the results show how the moduli depend on the effective inflation pressure, the constitutive behavior of the idealized truss members, and the surface-area dependent surface tension. The theory is discussed in the light of available experimental information. A more general analysis is needed to account for the effects of structural as well as surface-tension hysteresis.
基于正十二面体形状的单个肺单元模型，计算了控制肺实质增量变形的宏观弹性模量。单元内的弹性刚度由沿十二面体边缘的销接受拉构件提供，表面张力纳入其五边形面，跨肺压的影响通过外部施加的静水拉力模拟。该分析基于非线性结构力学的变分表述，结果表明模量如何取决于有效充气压力、理想化桁架构件的本构行为以及与表面积相关的表面张力。根据现有的实验信息对该理论进行了讨论。需要进行更全面的分析以考虑结构以及表面张力滞后的影响。
