PMMH, CNRS UMR, UPMC, ESPCI-ParisTech, France.
Phys Rev Lett. 2012 Aug 3;109(5):054302. doi: 10.1103/PhysRevLett.109.054302. Epub 2012 Aug 1.
We study the peculiar wrinkling pattern of an elastic plate stamped into a spherical mold. We show that the wavelength of the wrinkles decreases with their amplitude, but reaches a minimum when the amplitude is of the order of the thickness of the plate. The force required for compressing the wrinkled plate presents a maximum independent of the thickness. A model is derived and verified experimentally for a simple one-dimensional case. This model is extended to the initial situation through an effective Young modulus representing the mechanical behavior of the wrinkled state. The theoretical predictions are shown to be in good agreement with the experiments. This approach provides a complement to the "tension field theory" developed for wrinkles with unconstrained amplitude.
我们研究了弹性板压入球形模具时形成的特殊褶皱模式。我们表明，褶皱的波长随其振幅减小，但当振幅达到板厚的量级时，波长达到最小值。压缩褶皱板所需的力与厚度无关，呈现出最大值。我们推导并通过简单的一维情况进行了实验验证了一个模型。通过代表褶皱状态力学行为的有效杨氏模量，将该模型扩展到初始情况。理论预测与实验结果非常吻合。这种方法为针对无约束振幅的褶皱的“张力场理论”提供了补充。
