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Molecular dynamics/XFEM coupling by a three dimensional extended bridging domain with applications to dynamic brittle fracture

Talebi, Hossein, Silani, Mohammad, Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002, Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996 and Rabczuk, T. 2013. Molecular dynamics/XFEM coupling by a three dimensional extended bridging domain with applications to dynamic brittle fracture. International Journal for Multiscale Computational Engineering 11 (6) , pp. 527-541. 10.1615/IntJMultCompEng.2013005838

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Abstract

We propose a method to couple a three-dimensional continuum domain to a molecular dynamics (MD) domain to simulate propagating cracks in dynamics. The continuum domain is treated by an extended finite element method, to handle the discontinuities. The coupling is based on the Bridging Domain Method (BDM) which blends the continuum and atomistic energies. The Lennard-Jones potential is used to model the interactions in the atomistic domain and the Cauchy-Born rule is used to compute the material behaviour in the continuum domain. To our knowledge, it is the first time that a three dimensional extended bridging domain method is reported. To show the suitability of the proposed method, a three-dimensional crack problem with an atomistic region around the crack front is solved. The results show that the method is capable of handling crack propagation and dislocation nucleation.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: multiscale, atomistic simulation, extended finite elements, crack
Publisher: Begell House
ISSN: 1543-1649
Funders: EPSRC
Last Modified: 11 Mar 2023 02:13
URI: https://orca.cardiff.ac.uk/id/eprint/51173

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