Tözeren A
J Biomech Eng. 1986 Nov;108(4):301-5.
In the present study, an analytical method is developed to deduce the constitutive equations of fibers embedded in a thick shell from the time-variant pressure volume curves obtained by experimental procedures. It is assumed that the spherical shell under consideration is composed of a fiber reinforced material and undergoes radial deflection, modeling the behavior of some biological shells such as urinary bladder. The fiber stress is expressed as a function of fiber strain, rate of strain and the degree of biochemical activation. The function form is chosen such that equations of mechanical equilibrium can be integrated analytically to yield chamber pressure as a function of chamber volume, time rate of change of volume and activation. Arbitrary coefficients appearing in the fiber stress-equation are also present in the resultant time-variant pressure-volume relation. These coefficients can be determined by curve-fitting commonly used clinical data such as cystometry measurements.
在本研究中，开发了一种分析方法，用于从通过实验程序获得的随时间变化的压力-体积曲线中推导嵌入厚壳中的纤维的本构方程。假设所考虑的球壳由纤维增强材料组成，并经历径向挠曲，以此模拟一些生物壳（如膀胱）的行为。纤维应力表示为纤维应变、应变率和生化激活程度的函数。选择函数形式，使得机械平衡方程可以进行解析积分，以得到腔室压力作为腔室体积、体积随时间的变化率和激活的函数。纤维应力方程中出现的任意系数也会出现在所得的随时间变化的压力-体积关系中。这些系数可以通过对常用临床数据（如膀胱测压测量）进行曲线拟合来确定。
