Khatyr Fouad, Imberdis Claude, Varchon Daniel, Lagarde Jean-Michel, Josse Gwendal
Laboratoire de Mécanique Appliquée R. Chaléat, Besançon, France.
Skin Res Technol. 2006 Feb;12(1):24-31. doi: 10.1111/j.0909-725X.2006.00126.x.
The suction test is commonly used to study the mechanical properties of human skin in vivo. The unevenness of the stress fields complicates obtaining the intrinsic mechanical parameters of the skin in vivo because the values of the local stresses and deformations cannot be calculated directly from the displacements and forces applied by the test apparatus. In general, users only take into account the negative pressure applied and the elevation of the dome of skin drawn up in order to deduce the properties of the skin. This method has the major disadvantage of being dependent on the experimental conditions used: in particular, the size of the suction cup and the negative pressure applied. Here, we propose a full mechanical study of the test to provide rigorous results. We compare the frequently used geometric method (making the thin plate hypothesis), Timoshenko's method (which can take greater plate thicknesses into account) and finally various results obtained by the finite elements (FE) technique.
The suction test was modelled by FE with large displacements and large deformations both for orthotropic and isotropic plates. The results obtained in the elastic domain for various values of Young's modulus and of applied negative pressure were used as references and were compared with methods using analytical relationships.
The geometric method generally used in the interpretation of suction tests gives results, which in certain configurations, are very different from those obtained by FE. The method of Timoshenko is suited to thick plates 'in contact' or embedded round the edge, the elevation of the dome and the tension and flexion stresss are analytically accessible through relationships involving four constants that are dependent on the limit conditions. Comparison with the FE results enabled the optimisation of the coefficients to adapt the relationships to the particular conditions of the suction trials.
We showed the limits of the geometrical method and proposed a solution, which while remaining simple to use, gives results that are closer to reality both for the calculation of the modulus and for the determination of the state of the stresses obtained.
抽吸试验常用于研究人体皮肤在体内的力学性能。应力场的不均匀性使得在体内获取皮肤的固有力学参数变得复杂,因为局部应力和变形的值无法直接从试验设备施加的位移和力中计算得出。一般来说,使用者仅考虑施加的负压以及拉起的皮肤穹顶的高度,以便推断皮肤的特性。这种方法的主要缺点是依赖于所使用的实验条件:特别是吸盘的尺寸和施加的负压。在此,我们对该试验进行全面的力学研究以提供严谨的结果。我们比较了常用的几何方法(采用薄板假设)、铁木辛柯方法(可考虑更大的板厚),最后还比较了通过有限元(FE)技术获得的各种结果。
采用有限元法对正交各向异性板和各向同性板进行大位移和大变形的抽吸试验建模。在弹性域中针对不同杨氏模量值和施加负压获得的结果用作参考,并与使用解析关系的方法进行比较。
抽吸试验解释中常用的几何方法得出的结果,在某些配置下与有限元法获得的结果有很大差异。铁木辛柯方法适用于“接触”或边缘嵌入的厚板,通过涉及四个取决于极限条件的常数的关系,可以解析得出穹顶的高度以及拉伸和弯曲应力。与有限元结果的比较使得能够优化系数,以使关系适应抽吸试验的特定条件。
我们展示了几何方法的局限性,并提出了一种解决方案,该方案在保持使用简单的同时,对于模量计算和所获应力状态的确定都能给出更接近实际的结果。