Evans S L
School of Engineering, Cardiff University, The Parade, Cardiff, UK.
Comput Methods Biomech Biomed Engin. 2009 Jun;12(3):319-32. doi: 10.1080/10255840802546762.
A number of researchers have studied the mechanical properties of skin and developed constitutive models to describe its behaviour. Typically, many of these studies have concentrated on the uniaxial tensile behaviour of the skin, on the grounds that it will wrinkle under in-plane compression and have minimal stiffness. However, although there is a substantial body of literature on wrinkling models, the practical implementation of such a model of skin in a finite element setting has not been widely addressed. This paper presents computational details of a wrinkling, hyperelastic membrane model and aspects of its implementation and areas requiring further research are discussed. The model is based on an Ogden constitutive model, which provides accurate results at moderate strains, but it would be straightforward to implement other constitutive models such as the Fung or Arruda-Boyce models using a similar approach. Example results are presented which demonstrate that the model can provide a good approximation to experimental data. The model has many other possible applications, both for biological materials and for other thin hyperelastic membranes.
许多研究人员对皮肤的力学性能进行了研究，并开发了本构模型来描述其行为。通常，这些研究中的许多都集中在皮肤的单轴拉伸行为上，理由是皮肤在平面内压缩时会起皱且刚度最小。然而，尽管有大量关于起皱模型的文献，但这种皮肤模型在有限元环境中的实际应用尚未得到广泛探讨。本文介绍了一种起皱的超弹性膜模型的计算细节，并讨论了其实现方面以及需要进一步研究的领域。该模型基于奥格登本构模型，该模型在中等应变下能提供准确结果，但使用类似方法实现其他本构模型（如冯氏模型或阿鲁达 - 博伊斯模型）也很简单。文中给出了示例结果，表明该模型能够很好地逼近实验数据。该模型还有许多其他可能的应用，适用于生物材料以及其他薄的超弹性膜。
