Atomistic modelling of near-crack-tip plasticity

Buze, Maciej ORCID: https://orcid.org/0000-0001-8617-974X 2021. Atomistic modelling of near-crack-tip plasticity. Nonlinearity 34 (7) , 4503. 10.1088/1361-6544/abf33c

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Additional Information:	Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Publisher:	London Mathematical Society / IOP Publishing: Hybrid Open Access
ISSN:	0951-7715
Funders:	EPSRC
Date of First Compliant Deposit:	6 April 2021
Date of Acceptance:	29 March 2021
Last Modified:	17 Nov 2024 00:45
URI:	https://orca.cardiff.ac.uk/id/eprint/140300

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