Elastic disk with isoperimetric Cosserat coating
Elastic disk with isoperimetric Cosserat coating
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DOI：
10.1016/j.euromechsol.2022.104568
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发表时间：
2022-03
期刊：
影响因子：
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通讯作者：
Matteo Gaibotti;D. Bigoni;S. Mogilevskaya
中科院分区：
文献类型：
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作者：
Matteo Gaibotti;D. Bigoni;S. Mogilevskaya
圆形弹性盘上覆盖有弹性梁，吸收剪切力和法向力而不变形，并对曲率变化的弯矩作出线性反应。弹性梁的不可延伸性引入了等周约束，使得盘的初始圆周的长度被约束为在盘/涂层系统的加载期间保持固定。该系统的机械模型的制定，解决一般的负载，和特殊化的情况下，两个相等和相反的牵引力分布，每个应用在一个小的边界段（从而模拟压痕的涂层纤维）。应力场，通过复杂的潜力，得到的证据与光弹性实验，广告设计和执行一个很好的对应关系。所得结果对微纳尺度下涂层光纤的设计具有指导意义。
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 inextensibility 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 modeling indentation of a coated fiber). The stress fields, obtained via complex potentials, are shown to evidence a nice correspondence with photoelastic experiments,ad hocdesigned and performed. The presented results are useful for the design of coated fibers at the micro and nano scales.