Universal Wrinkling of Supported Elastic Rings
Universal Wrinkling of Supported Elastic Rings
复制标题
支撑弹性环的普遍起皱
DOI：
10.1103/physrevlett.129.164301
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发表时间：
2022
影响因子：
8.6
通讯作者：
Gordillo, Leonardo
中科院分区：
文献类型：
--
作者：
Foster, Benjamin;Verschueren, Nicolás;Knobloch, Edgar;Gordillo, Leonardo
一个精确可解的家庭模型描述的基板支持不可扩展的弹性环压缩下的扭曲。由此产生的皱纹配置文件被证明是相关的屈曲状态的一个无支撑的环，因此是普遍的。封闭的解析表达式所产生的普遍形状，包括一对一的压力和张力之间的关系，这些出现。的分析预测同意数值延拓结果数值精度内，为一个大范围的参数值，到点的自接触。
An exactly solvable family of models describing the wrinkling of substrate-supported inextensible elastic rings under compression is identified. The resulting wrinkle profiles are shown to be related to the buckled states of an unsupported ring and are therefore universal. Closed analytical expressions for the resulting universal shapes are provided, including the one-to-one relations between the pressure and tension at which these emerge. The analytical predictions agree with numerical continuation results to within numerical accuracy, for a large range of parameter values, up to the point of self-contact.