A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models

DOI10.1137/22m1517640arXiv2208.04199MaRDI QIDQ6088332

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Publication date: 13 December 2023

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04199

zbMATH Keywords

dimension reduction\(\Gamma\)-convergencediscrete-to-continuum limitsthin beamselastic rod theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

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