Probabilistic Model for Polycrystalline Microstructures with Application to Intergranular Fracture
Publication: Journal of Engineering Mechanics
Volume 130, Issue 9
Abstract
A two part probabilistic model for polycrystalline microstructures is described. The model utilizes a Poisson–Voronoi tessellation for the grain geometry and a vector random field model for the crystallographic orientation. The grain geometry model is calibrated to experimental data through the intensity of the Poisson point field underlying the Poisson–Voronoi tessellation and the orientation random field is calibrated to experimental data through its marginal distributions and second moment properties. Realizations of the random microstructure are generated by use of translation methods and are used, with simplified mechanical models, to investigate the problem of intergranular fracture. It is found that intergranular cracks exhibit some statistical properties of a scaled Brownian motion process.
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Published In
Journal of Engineering Mechanics
Volume 130 • Issue 9 • September 2004
Pages: 997 - 1005
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jun 24, 2003
Accepted: Feb 24, 2004
Published online: Aug 16, 2004
Published in print: Sep 2004
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