A geometric field theory of dislocation mechanics

DOI10.1007/s00332-023-09919-9zbMath1525.74037arXiv2307.00164OpenAlexW4384828871MaRDI QIDQ6170842

Arash Yavari, Fabio Sozio

Publication date: 10 August 2023

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.00164

zbMATH Keywords

differential formCartan moving framecontinuum dislocation dynamicsdistorted lattice structurenonlinear finite plasticityOrowan equationtwo-potential theoryvariational Lagrange-d'Alembert principle

Mathematics Subject Classification ID

Crystalline structure (74E15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Applications of differential geometry to physics (53Z05) Micromechanical theories (74A60)

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