2017/09/05 by Raz Kupferman · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Bending #Buckle #Cellular Mechanics and Interactions #Chemistry #Composite material #Dislocation #Engineering #Enhanced Data Rates for GSM Evolution #Flexural rigidity #Materials science #Membrane #Modulus #Rigidity (electromagnetism) #Strain energy #Structural Analysis and Optimization #Structural engineering #cond-mat.soft #math-ph #math.MP
paper · pdf · doi:10.1103/physreve.96.063002
published in Physical review. E 96(6), 063002 (American Physical Society)
arxiv created 2017/09/05 · openalex publication_date 2017/12/11 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.