弹性板的冲压和冲压
Stamping and wrinkling of elastic plates
摘要：
本文研究了弹性板在球形模具中冲压时所产生的特殊波纹。我们发现，皱纹的波长随振幅的减小而减小，但当振幅为板的厚度的数量级时达到最大值。压缩褶皱板所需的力呈现出与厚度无关的最大值。一个简单的一维情况下，推导出一个模型，并通过实验验证。该模型通过有效杨氏模量来表征褶皱状态的力学行为，从而推广到初始状态。理论预测与实验结果吻合较好。这种方法提供了一个补充的“张力场论“开发的皱纹与无约束的振幅。
英文摘要：
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 maximum 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 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
