A continuum model for brittle nanowires derived from an atomistic description by \(\Gamma \)-convergence

DOI10.1007/s00526-023-02562-yarXiv2208.04195MaRDI QIDQ6050112

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Publication date: 12 October 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.04195

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Variational methods for problems in mechanics (70G75) Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Quantum waveguides, quantum wires (82D77)

Related Items (2)

A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models ⋮ Two-phase models for elastic membranes with soft inclusions

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