Department of Mechanical Engineering, Tufts University, Medford, MA, United States.
Department of Human Evolutionary Biology, Harvard University, Cambridge, MA, United States; Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA, United States.
J Mech Behav Biomed Mater. 2014 Feb;30:306-23. doi: 10.1016/j.jmbbm.2013.12.002. Epub 2013 Dec 9.
In this paper we propose a constitutive model to analyze in-plane extension of goat fascia lata. We first perform a histological analysis of the fascia that shows a well-organized bi-layered arrangement of undulated collagen fascicles oriented along two well defined directions. To develop a model consistent with the tissue structure we identify the absolute and relative thickness of each layer and the orientation of the preferred directions. New data are presented showing the mechanical response in uniaxial and planar biaxial extension. The paper proposes a constitutive relation to describe the mechanical response. We provide a summary of the main ingredients of the nonlinear theory of elasticity and introduce a suitable strain-energy function to describe the anisotropic response of the fascia. We validate the model by showing good fit of the numerical results and the experimental data. Comments are included about differences and analogies between goat fascia lata and the human iliotibial band.
本文提出了一个本构模型来分析山羊阔筋膜的面内拉伸。我们首先对面筋进行组织学分析,发现其具有良好的双层波浪状胶原束排列结构,胶原束沿两个明确的方向排列。为了与组织结构一致,我们确定了每层的绝对和相对厚度以及优势方向的取向。本文提供了新的数据,展示了在单轴和平面双轴拉伸下的力学响应。本文提出了一个本构关系来描述力学响应。我们总结了非线性弹性理论的主要内容,并引入了一个合适的应变能函数来描述筋膜的各向异性响应。通过显示数值结果和实验数据的良好拟合,验证了模型的有效性。文中还讨论了山羊阔筋膜和人类髂胫束之间的差异和相似之处。