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Multiscale numerical modelling of crack propagation in two-dimensional metal plate

Multiscale numerical modelling of crack propagation in two-dimensional metal plate

Rafii-Tabar, H., Lu, Hua ORCID: 0000-0002-4392-6562 and Cross, Mark (1998) Multiscale numerical modelling of crack propagation in two-dimensional metal plate. Materials Science and Technology, 14 (6). pp. 544-548. ISSN 0267-0836 (Print), 1743-2847 (Online) (doi:

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A novel multiscale model of brittle crack propagation in an Ag plate with macroscopic dimensions has been developed. The model represents crack propagation as stochastic drift-diffusion motion of the crack tip atom through the material, and couples the dynamics across three different length scales. It integrates the nanomechanics of bond rupture at the crack tip with the displacement and stress field equations of continuum based fracture theories. The finite element method is employed to obtain the continuum based displacement and stress fields over the macroscopic plate, and these are then used to drive the crack tip forward at the atomic level using the molecular dynamics simulation method based on many-body interatomic potentials. The linkage from the nanoscopic scale back to the macroscopic scale is established via the Ito stochastic calculus, the stochastic differential equation of which advances the tip to a new position on the macroscopic scale using the crack velocity and diffusion constant obtained on the nanoscale. Well known crack characteristics, such as the roughening transitions of the crack surfaces, crack velocity oscillations, as well as the macroscopic crack trajectories, are obtained.

Item Type: Article
Additional Information: The authors are in the Nano-Science Simulation Group, Centre for Numerical Modelling and Process Analysis, School of Computing and Mathematical Sciences, University of Greenwich, London, UK. This paper formed part of an Institute of Materials conference on 'Layered structural materials' (LSM97) held in London on 28 November 1997. (Originally published by Maney Online).
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Pre-2014 Departments: School of Computing & Mathematical Sciences
Last Modified: 20 Mar 2019 11:54
Selected for GREAT 2016: None
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Selected for GREAT 2019: None
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