Bending energy of buckled edge dislocations.
basic_science · Level V
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- Record sourced from PubMed, PMID 29347431.
- Also identified by DOI 10.1103/PhysRevE.96.063002.
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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.