生长板中的锥形缺陷
Conical defects in growing sheets
摘要：
生长或收缩的椎间盘将呈圆锥形，其固有几何形状的特征在于顶点处的剩余角$se$。如果生长缓慢，圆锥体将找到平衡。如果是$se <= 0$，则这是微不足道的，如果$se$是正的，则盘可以折叠成离散的无限多个状态中的一个。我们在弯曲占主导地位的制度中构建这些状态，确定它们的能量以及应力如何分布。对于每个状态，识别$se$的临界值，超过该临界值锥体接触自身。在此之前，所有的状态都是稳定的;基态具有双重对称性。
英文摘要：
A growing or shrinking disc will adopt a conical shape, its intrinsic geometry characterized by a surplus angle $se$ at the apex. If growth is slow, the cone will find its equilibrium. Whereas this is trivial if $se <= 0$, the disc can fold into one of a discrete infinite number of states if $se$ is positive. We construct these states in the regime where bending dominates, determine their energies and how stress is distributed in them. For each state a critical value of $se$ is identified beyond which the cone touches itself. Before this occurs, all states are stable; the ground state has two-fold symmetry.
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。
