可塌陷气管的弹性薄壳模型分析  

A Thin Shell Modeling for Collapsible Tracheae

作　　者：王禹钦[1] 林逸汉[1] 滕忠照 

机构地区：[1]复旦大学力学与工程科学系,上海200433 [2]萨拉戈萨大学生命科学系

出　　处：《复旦学报（自然科学版）》2006年第2期141-147,共7页Journal of Fudan University：Natural Science

摘　　要：建立气管的一个弹性薄壳数学模型.气管的软骨部分为薄圆柱壳的弹性小变形薄膜和弯曲变形状态,而肌肉部分为大应变薄膜应力状态.软骨为Hooke弹性材料而肌肉采用二参数指数型本构关系.由拟合气管p-V关系的实验数据和计算结果得到了肌肉的材料参数.在均匀分布外压力载荷和平面应变变形条件下,求得了软骨和肌肉的耦合变形解析解,图示了软骨内力和位移,以及气管在外压逐渐增大时的肌肉塌陷变形过程.An elastic thin shell model was developed for the analysis of collapsible tracheae. The cartilage part of tracheae is modeled by a thin cylindrical shell in membrane and bending states of infinitesimal deformation. The muscle part of tracheae is in membrane state of finite deformation. The cartilage is of Hooke elastic material and the muscle has a constitutive equation of exponential type with two parameters. The parameters were obtained by fitting the experimental data to the computational results of the pressure-volume relation of tracheae. Under the conditions of uniform pressure and plane strain deformation, the resultant forces and deformations of cartilages for the coupling deformation model of cartilage and muscle were obtained and shown.

关 键 词：气管 软骨 可塌陷 压力-容积关系 薄壳模型 

分 类 号：Q66[生物学—生物物理学]