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

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 function of the quenching depth, a cross over 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.

References in corpus (5)

• Grain growth beyond the Mullins model, capturing the complex physics behind universal grain size distributions
• Unified Theoretical Framework for Polycrystalline Pattern Evolution
• Rotation induced grain growth and stagnation in phase field crystal models
• Intermittent dislocation density fluctuations in crystal plasticity from a phase-field crystal model
• Abnormal subgrain growth in a dislocation-based model of recovery

Cited by in corpus (1)

• Substrate curvature governs texture orientation in thin films of smectic block copolymers