Euler elastica as a Γ-limit of discrete bending energies of one-dimensional chains of atoms

DOI10.1177/1081286517707997zbMath1401.74234arXiv1604.07879OpenAlexW2964192283MaRDI QIDQ4691203

J. Patrick Wilber, Malena I. Español, Dmitry Golovaty

Publication date: 19 October 2018

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07879

zbMATH Keywords

elastica\(\Gamma\)-convergencegraphenecarbon nanotubesHencky bar-chain model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Homogenization in equilibrium problems of solid mechanics (74Q05) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items (1)

Variational Methods for Discrete Geometric Functionals

Cites Work

• Unnamed Item
• Asymptotic expansions by \(\Gamma \)-convergence
• Treatment of elastically restrained ends for beam buckling in finite difference, microstructured and nonlocal beam models
• Epi-convergence of discrete elastica
• On the Gamma-convergence of some polygonal curvature functionals
• Analysis of Rippling in Incommensurate One-Dimensional Coupled Chains

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