The circumferential compliance and burst strength of vascular grafts are predicted through the conically modified von Mises and elasticity theories, providing an analytical closed form solution for both parameters. Besides the graft's radii, the model for circumferential compliance depends solely on the elastic modulus and Poisson's ratio of the polymer material, and its accuracy was verified by finite element analysis and measurements. The analytical expression of the burst strength requires accurate determination of the material's tensile and compressive yield stress, which were carefully obtained by using digital image correlation measurements in uniaxial tensile and compressive tests of the constitutive material. The average measured circumferential compliance and burst strength of an 8 mm graft made of a commonly used biomaterial, Tecoflex^® SG-80A, are 1.05%/100 mmHg^-1 and 34.1 psi (1763 mmHg) and the proposed analytical predictions fall within the experimental scattering. Thus, it is shown that the circumferential compliance and burst strength of vascular grafts can be analytically predicted by knowing the elastic and yield material properties accurately, without needing to actually test the graft under radial pressure. This is a major advantage which can aid in the design and tailoring of vascular grafts.

通过圆锥形修改的冯·米塞斯（von Mises）和弹性理论预测血管移植物的圆周顺应性和爆破强度，为这两个参数提供解析的封闭形式解决方案。除移植物的半径外，圆周顺应性模型仅取决于聚合物材料的弹性模量和泊松比，并且其精度已通过有限元分析和测量得到了验证。爆破强度的解析表达式需要准确确定材料的拉伸和压缩屈服应力，这是通过在本构材料的单轴拉伸和压缩测试中使用数字图像相关性测量值仔细获得的。由常用生物材料制成的8毫米移植物的平均测得的圆周顺应性和破裂强度，^® SG-80A，是1.05％/ 100毫米汞柱^-1和34.1磅（1763毫米汞柱）和所提出的分析预测落入实验散射内。因此，表明可以通过准确地了解弹性和屈服材料的特性来分析地预测血管移植物的周向顺应性和破裂强度，而无需在径向压力下实际测试移植物。这是一个主要优点，可以帮助设计和定制血管移植物。