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水浸润下褶皱指尖的力学建模。

Mechanical modeling of a wrinkled fingertip immersed in water.

机构信息

Department of Earth and Environmental Engineering, MC 4711, Columbia University, New York, NY 10027, USA.

出版信息

Acta Biomater. 2010 Apr;6(4):1487-96. doi: 10.1016/j.actbio.2009.10.025. Epub 2009 Oct 21.

Abstract

Fingertips often wrinkle after extended exposure to water. The underlying mechanics issues, in particular the critical parameters governing the wrinkled morphology, are studied by using both finite element simulation and analytical modeling. The wrinkling behaviors, characterized by the wrinkle-to-wrinkle distance (wavelength), wrinkle depth (amplitude) and critical wrinkling stress/strain, are investigated as the geometry and material parameters of the fingertip are varied. A simple reduced model is employed to understand the effect of finger curvature and skin thickness, whereas a more refined full anatomical model provides the basis for analyzing the effect of a multilayered skin structure. The simulation results demonstrate that the stiffness of the stratum corneum and the dermal layer in the skin has a large effect on the wrinkling behavior, which agrees well with the analytical predictions. From the uncovered mechanical principles, potential ways for effectively slowing down and suppressing skin wrinkles are proposed; among them, increasing the modulus of the dermal layer in the skin appears to be the most effective.

摘要

指尖在长时间接触水后常常会起皱。本研究通过有限元模拟和解析建模来研究潜在的力学问题,特别是控制起皱形态的关键参数。研究了指尖几何形状和材料参数变化时的起皱行为,其特征包括皱纹间距(波长)、皱纹深度(振幅)和临界起皱应力/应变。采用简化的缩减模型来理解手指曲率和皮肤厚度的影响,而更精细的全解剖模型则为分析多层皮肤结构的影响提供了基础。模拟结果表明,皮肤的角质层和真皮层的刚度对起皱行为有很大影响,这与分析预测结果相符。从揭示的力学原理出发,提出了有效减缓和抑制皮肤皱纹的潜在方法;其中,增加皮肤真皮层的模量似乎最为有效。

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