Deng S X, Tomioka J, Debes J C, Fung Y C
Institute for Biomedical Engineering, University of California, San Diego, La Jolla 92093-0412.
Am J Physiol. 1994 Jan;266(1 Pt 2):H1-10. doi: 10.1152/ajpheart.1994.266.1.H1.
Although the mechanical properties of blood vessels have been studied extensively, the shear modulus of the blood vessel wall is still unknown. New data on the shear modulus of elasticity of rat arteries and its variation with axial stretch and blood pressure are presented. The data were obtained from a new instrument designed and constructed by us to perform simultaneous torsion, inflation, and longitudinal stretching tests. It was found under physiological conditions (pressure = 120 mmHg or 16 kPa; longitudinal stretch = 1.2 relative to zero-stress state), the shear modulus of normal rat thoracic aorta is G = 137 +/- 18 kPa. The difference of shear modulus at body temperature (37 degrees C) and room temperature (25 degrees C) is within 10%. The shear modulus varies significantly with changing longitudinal and circumferential strains in proportion to the strain energy due to these strains. A constitutive equation based on a pseudo strain energy function is proposed. The vessel wall is not transversely isotropic in the incremental sense. When the rat was subjected to high blood pressure due to constriction of its aorta, the shear modulus does not vary significantly with the length of time the animal was subjected to hypertension.
尽管血管的力学性能已得到广泛研究,但血管壁的剪切模量仍然未知。本文给出了大鼠动脉弹性剪切模量及其随轴向拉伸和血压变化的新数据。这些数据是通过我们设计并制造的一种新仪器获得的,该仪器可同时进行扭转、充气和纵向拉伸试验。结果发现,在生理条件下(压力 = 120 mmHg 或 16 kPa;相对于零应力状态的纵向拉伸 = 1.2),正常大鼠胸主动脉的剪切模量为 G = 137 +/- 18 kPa。体温(37℃)和室温(25℃)下剪切模量的差异在 10% 以内。剪切模量随纵向和周向应变的变化而显著变化,与这些应变引起的应变能成比例。提出了基于伪应变能函数的本构方程。血管壁在增量意义上不是横向各向同性的。当大鼠因主动脉缩窄而处于高血压状态时,剪切模量不会随动物处于高血压状态的时间长度而显著变化。