Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA.
Acta Biomater. 2013 Apr;9(4):5926-42. doi: 10.1016/j.actbio.2012.11.034. Epub 2012 Dec 7.
A thin shell method is presented to analyze the results of the bulge test presented in Part I of this paper. The method accounts for the effects of bending, which can be significant for thick tissues inflated from a planar state. We fit two commonly used hyperelastic distributed fiber constitutive models to the stretch-stress resultant data for human skin tissue calculated in Part I from the measured inflation pressure and deformed geometry of the tissue. To validate the method, the resulting parameters were implemented in a specimen-specific finite-element analysis. The method was capable of reproducing the experimentally measured pressure-stretch response of the tissue for a fully integrated distributed fiber model, but not for the pre-integrated distributed fiber models. The parameters obtained for the pre-integrated models significantly underestimated the anisotropic properties of the tissue. The thin shell method presented in this work has been applied to human skin tissues but is sufficiently general to be applied to analyze the inflation response of other planar tissues.
提出了一种薄壳方法来分析本文第一部分中提出的膨胀试验的结果。该方法考虑了弯曲的影响，对于从平面状态膨胀的厚组织，弯曲的影响可能是显著的。我们拟合了两种常用的超弹性分布式纤维本构模型，以适应第一部分中从组织的测量膨胀压力和变形几何形状计算得出的人体皮肤组织的拉伸-应力结果数据。为了验证该方法，将得到的参数应用于特定于样本的有限元分析中。该方法能够重现完全集成分布式纤维模型的组织的实验测量压力-拉伸响应，但对于预集成分布式纤维模型则不能。对于预集成模型得到的参数显著低估了组织的各向异性特性。本文提出的薄壳方法已应用于人体皮肤组织，但足够通用，可以应用于分析其他平面组织的膨胀响应。
