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arXiv · 1709.02728

On the Bending Energy of Buckled Edge-Dislocations

Raz Kupferman
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Abstract

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.

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Raz Kupferman. 2017-09-05. On the Bending Energy of Buckled Edge-Dislocations. https://doi.org/10.1103/physreve.96.063002

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