Mitsuhashi Kazuhiko, Ghosh Swapan, Koibuchi Hiroshi
Department of Industrial Engineering, National Institute of Technology, Ibaraki College, Nakane 866, Hitachinaka, Ibaraki 312-8508, Japan.
Polymers (Basel). 2018 Jun 29;10(7):715. doi: 10.3390/polym10070715.
Herein, we study stress⁻strain diagrams of soft biological materials such as animal skin, muscles, and arteries by Finsler geometry (FG) modeling. The stress⁻strain diagram of these biological materials is always J-shaped and is composed of toe, heel, linear, and failure regions. In the toe region, the stress is almost zero, and the length of this zero-stress region becomes very large (≃150%) in, for example, certain arteries. In this paper, we study long-toe diagrams using two-dimensional (2D) and 3D FG modeling techniques and Monte Carlo (MC) simulations. We find that, except for the failure region, large-strain J-shaped diagrams are successfully reproduced by the FG models. This implies that the complex J-shaped curves originate from the interaction between the directional and positional degrees of freedom of polymeric molecules, as implemented in the FG model.
在此，我们通过芬斯勒几何（FG）建模研究动物皮肤、肌肉和动脉等柔软生物材料的应力-应变图。这些生物材料的应力-应变图总是呈J形，由趾部、跟部、线性和失效区域组成。在趾部区域，应力几乎为零，例如在某些动脉中，这个零应力区域的长度会变得非常大（约为150%）。在本文中，我们使用二维（2D）和三维FG建模技术以及蒙特卡罗（MC）模拟来研究长趾图。我们发现，除了失效区域外，FG模型成功地再现了大应变J形图。这意味着复杂的J形曲线源于FG模型中所体现的聚合物分子的方向和位置自由度之间的相互作用。
