Atomistic modelling of near-crack-tip plasticity
Abstract
An atomistic model of near-crack-tip plasticity on a square lattice under anti-plane shear kinematics is formulated and studied. The model is based upon a new geometric and functional framework of a lattice manifold complex, which ensures that the crack surface is fully taken into account, while preserving the crucial notion of duality. As a result, existence of locally stable equilibrium configurations containing both a crack opening and dislocations is established. Notably, with the boundary in the form of a crack surface accounted for, no minimum separation between a dislocation core and the crack surface or the crack tip is required. The work presented here constitutes a foundation for several further studies aiming to put the phenomenon of near-crack-tip plasticity on a rigorous footing.
Keywords
Cite
@article{arxiv.2007.02408,
title = {Atomistic modelling of near-crack-tip plasticity},
author = {Maciej Buze},
journal= {arXiv preprint arXiv:2007.02408},
year = {2021}
}
Comments
35 pages, 6 figures