Rafii-Tabar, H., Hua, L. and Cross, M. (1998) A multi-scale numerical modelling of crack propagation in a 2D metallic plate. Journal of Computer-Aided Materials Design, 4 (3). pp. 165-173. ISSN 0928-1045 (Print), 1573-4900 (Online) (doi:10.1023/A:1008674520573)

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Abstract

A new multi-scale model of brittle fracture growth in an Ag plate with macroscopic dimensions is proposed in which the crack propagation is identified with the stochastic drift-diffusion motion of the crack-tip atom through the material. The model couples molecular dynamics simulations, based on many-body interatomic potentials, with the continuum-based theories of fracture mechanics. The Ito stochastic differential equation is used to advance the tip position on a macroscopic scale before each nano-scale simulation is performed. Well-known crack characteristics, such as the roughening transitions of the crack surfaces, as well as the macroscopic crack trajectories are obtained.

Item Type:	Article
Additional Information:	[1] Article based on an Invited Poster presented at the workshop Multiscale Materials Prediction: Fundamentals and Industrial Applications, MIT, Cambridge, MA, U.S.A., September 14–16, 1997.
Uncontrolled Keywords:	crack propagation, multi-scale modelling, MD-continuum modelling Stochastic modelling
Subjects:	Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis
Related URLs:	Publisher
Last Modified:	14 Oct 2016 08:59
URI:	http://gala.gre.ac.uk/id/eprint/249

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