论文标题
弹性磁盘带有等级的cosserat涂层
Elastic disk with isoperimetric Cosserat coating
论文作者
论文摘要
圆形弹性盘用弹性梁覆盖，吸收剪切和正常力而没有变形，并线性地反应弯曲变化的弯矩。弹性光束的不可降低性引入了等值约束，因此将磁盘的初始圆周长度限制为在磁盘/涂层系统的加载过程中保持固定。该系统的机械模型被制定，用于通用载荷，并专门针对两个相等和相反的牵引分布的情况，每个牵引分布都应用于小边界段（从而建模涂层光纤的凹痕）。通过复杂电势获得的应力场被证明与光弹性实验（设计和执行的光弹性实验）相对应。提出的结果对于在微观和纳米尺度上的涂层纤维设计很有用。
A circular elastic disk is coated with an elastic beam, absorbing shear and normal forces without deformation and linearly reacting to a bending moment with a change in curvature. The inexstensibility of the elastic beam introduces an isoperimetric constraint, so that the length of the initial circumference of the disk is constrained to remain fixed during the loading of the disk/coating system. The mechanical model for this system is formulated, solved for general loading, and particularized to the case of two equal and opposite traction distributions, each applied on a small boundary segment (thus modelling indentation of a coated fiber). The stress fields, obtained via complex potentials, are shown to evidence a nice correspondence with photoelastic experiments, ad hoc designed and performed. The presented results are useful for the design of coated fibers at the micro and nano scales.
