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Updated: Jun 18, 2026

Determining the Mechanical Strength of Ultra-Fine-Grained Metals
Published on: November 22, 2021
Phase field crystal study of deformation and plasticity in nanocrystalline materials
Peter Stefanovic1, Mikko Haataja, Nikolas Provatas
1Department of Materials Science and Engineering and Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, Canada.
Abstract:
We introduce a modified phase field crystal (MPFC) technique that self-consistently incorporates rapid strain relaxation alongside the usual plastic deformation and multiple crystal orientations featured by the traditional phase field crystal (PFC) technique. Our MPFC formalism can be used to study a host of important phase transformation phenomena in material processing that require rapid strain relaxation. We apply the MPFC model to study elastic and plastic deformations in nanocrystalline materials, focusing on the "reverse" Hall-Petch effect. Finally, we introduce a multigrid algorithm for efficient numerical simulations of the MPFC model.
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