V R Coffman et al 2008 Modelling Simul. Mater. Sci. Eng. 16 065008 doi:10.1088/0965-0393/16/6/065008
A comparison of finite element and atomistic modelling of fracture
V R Coffman1,5, J P Sethna1, G Heber2, M Liu2, A Ingraffea2, N P Bailey3 and E I Barker4
Show affiliationsAre the cohesive laws of interfaces sufficient for modelling fracture in polycrystals using the cohesive zone model? We examine this question by comparing a fully atomistic simulation of a silicon polycrystal with a finite element simulation with a similar overall geometry. The cohesive laws used in the finite element simulation are measured atomistically. We describe in detail how to convert the output of atomistic grain boundary fracture simulations into the piecewise linear form needed by a cohesive zone model. We discuss the effects of grain boundary microparameters (the choice of section of the interface, the translations of the grains relative to one another and the cutting plane of each lattice orientation) on the cohesive laws and polycrystal fracture. We find that the atomistic simulations fracture at lower levels of external stress, indicating that the initiation of fracture in the atomistic simulations is likely dominated by irregular atomic structures at external faces, internal edges, corners and junctions of grains. Thus, the cohesive properties of interfaces alone are not likely to be sufficient for modelling the fracture of polycrystals using continuum methods.
- PACS
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81.40.Np Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure
62.20.M- Structural failure of materials
68.35.Gy Mechanical properties; surface strains
- Subjects
- Dates
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Issue 6 (September 2008)
Received 6 March 2008, in final form 3 July 2008
Published 11 August 2008
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A comparison of finite element and atomistic modelling of fracture
V R Coffman et al 2008 Modelling Simul. Mater. Sci. Eng. 16 065008
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