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Phase field crystal study of deformation and plasticity in nanocrystalline materials

Peter Stefanovic1, Mikko Haataja2, and Nikolas Provatas1

  • 1Department of Materials Science and Engineering and Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, Canada L8S-4L7
  • 2Department of Mechanical and Aerospace Engineering, Princeton University, Olden Street, Princeton, New Jersey 08544, USA

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Phys. Rev. E 80, 046107 – Published 13 October, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.046107

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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Phys. Rev. E 80, 046107– Published 13 October, 2009
  • Received 7 April 2009

© 2009 American Physical Society

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