Skacel Pavel, Bursa Jiri
Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno University of Technology, Technicka 2896/2, 616 69 Brno, Czech Republic.
Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno University of Technology, Technicka 2896/2, 616 69 Brno, Czech Republic.
J Mech Behav Biomed Mater. 2016 Feb;54:316-27. doi: 10.1016/j.jmbbm.2015.09.029. Epub 2015 Oct 3.
Poisson׳s ratio of fibrous soft tissues is analyzed in this paper on the basis of constitutive models and experimental data. Three different up-to-date constitutive models accounting for the dispersion of fibre orientations are analyzed. Their predictions of the anisotropic Poisson׳s ratios are investigated under finite strain conditions together with the effects of specific orientation distribution functions and of other parameters. The applied constitutive models predict the tendency to lower (or even negative) out-of-plane Poisson׳s ratio. New experimental data of porcine arterial layer under uniaxial tension in orthogonal directions are also presented and compared with the theoretical predictions and other literature data. The results point out the typical features of recent constitutive models with fibres concentrated in circumferential-axial plane of arterial layers and their potential inconsistence with some experimental data. The volumetric (in)compressibility of arterial tissues is also discussed as an eventual and significant factor influencing this inconsistency.
本文基于本构模型和实验数据，对纤维软组织的泊松比进行了分析。分析了三种考虑纤维取向离散性的不同的最新本构模型。研究了它们在有限应变条件下对各向异性泊松比的预测，以及特定取向分布函数和其他参数的影响。所应用的本构模型预测了平面外泊松比降低（甚至为负）的趋势。还给出了猪动脉层在正交方向单轴拉伸下的新实验数据，并与理论预测和其他文献数据进行了比较。结果指出了近期本构模型的典型特征，即纤维集中在动脉层的周向 - 轴向平面内，以及它们与一些实验数据可能存在的不一致性。还讨论了动脉组织的体积（不）可压缩性，将其作为影响这种不一致性的一个最终且重要的因素。
