关于屈曲刃位错的弯曲能
On the Bending Energy of Buckled Edge-Dislocations
摘要：
对带有拓扑缺陷的弹性膜的研究有着悠久的历史，至少可以追溯到20世纪50年代。当允许在三维空间中屈曲时，具有缺陷的膜可以完全释放其面内应变，剩余弯曲能量，其刚性模量与拉伸模量相比较小。在本文中，我们研究膜与一个单一的边缘位错。我们证明了与无应变配置相关的最小弯曲能随系统的尺寸几何发散。
英文摘要：
The study of elastic membranes carrying topological defects has a longstanding history, going back at least to the 1950s. When allowed to buckle in three-dimensional space, membranes with defects can totally relieve their in-plane strain, remaining with a bending energy, whose rigidity modulus is small compared to the stretching modulus. In this paper, we study membranes with a single edge-dislocation. We prove that the minimum bending energy associated with strain-free configurations diverges logarithmically with the size of the system.
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。
