Rotation-limited growth of three-dimensional body-centered-cubic crystals

Jens M. Tarp and Joachim Mathiesen
Phys. Rev. E 92, 012409 – Published 27 July 2015

Abstract

According to classical grain growth laws, grain growth is driven by the minimization of surface energy and will continue until a single grain prevails. These laws do not take into account the lattice anisotropy and the details of the microscopic rearrangement of mass between grains. Here we consider coarsening of body-centered-cubic polycrystalline materials in three dimensions using the phase field crystal model. We observe, as a function of the quenching depth, a crossover between a state where grain rotation halts and the growth stagnates and a state where grains coarsen rapidly by coalescence through rotation and alignment of the lattices of neighboring grains. We show that the grain rotation per volume change of a grain follows a power law with an exponent of 1.25. The scaling exponent is consistent with theoretical considerations based on the conservation of dislocations.

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  • Received 21 March 2015

DOI:https://doi.org/10.1103/PhysRevE.92.012409

©2015 American Physical Society

Authors & Affiliations

Jens M. Tarp and Joachim Mathiesen

  • Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

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Vol. 92, Iss. 1 — July 2015

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