论文标题
支撑弹性戒指的普遍皱纹
Universal wrinkling of supported elastic rings
论文作者
论文摘要
确定了一个可解决的模型家族，描述了在压缩下的底物支撑弹性环的皱纹。所得的皱纹曲线显示与不受支持的环的屈曲状态有关，因此是通用的。提供了由此产生的通用形状的封闭分析表达式，包括这些出现的压力和张力之间的一对一关系。分析预测与数值延续结果一致，以在数值准确性之内，对于自我接触点的大量参数值。
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.
