Janz R F, Ozpetek S, Ginzton L E, Laks M M
Edwards LIS Division, Irvine, California 92714.
Biophys J. 1989 Jan;55(1):173-82. doi: 10.1016/S0006-3495(89)82789-4.
Several mathematical formulas are presented for estimating regional average circumferential stress and shear stress in a thick-wall, noncircular cylinder with a plane of symmetry. The formulas require images of exterior and interior chamber silhouettes plus surface pressures. The formulas are primarily intended for application to the left ventricle in the short axis plane near the base (where the meridional radius of curvature is normally much larger than the circumferential radius of curvature) and to blood vessels. The formulas predict stresses in a variety of chambers to within 3% of finite element values determined from a large-scale structural analysis computer program called ANSYS.
给出了几个数学公式，用于估算具有对称平面的厚壁非圆形圆柱体中的区域平均周向应力和剪应力。这些公式需要外部和内部腔室轮廓图像以及表面压力。这些公式主要适用于靠近底部的短轴平面中的左心室（此处子午线曲率半径通常远大于周向曲率半径）以及血管。这些公式预测各种腔室中的应力，其结果与通过名为ANSYS的大型结构分析计算机程序确定的有限元值相差在3%以内。
