Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag

DOI10.1137/19M1265855zbMath1467.74020arXiv1903.11512OpenAlexW3164813160MaRDI QIDQ4997160

Yekaterina Epshteyn, Masashi Mizuno, Chun Liu

Publication date: 28 June 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11512

zbMATH Keywords

grain growthtexture developmentgeometric evolution equationgrain boundary networkenergetic variational method

Mathematics Subject Classification ID

Crystalline structure (74E15) Texture in solid mechanics (74E25) Micromechanics of solids (74M25)

Related Items (7)

Nonlinear inhomogeneous Fokker–Planck models: Energetic-variational structures and long-time behavior ⋮ Grain Boundary Triple Junction Dynamics: A Continuum Disconnection Model ⋮ A stochastic model of grain boundary dynamics: A Fokker–Planck perspective ⋮ A curve shortening equation with time-dependent mobility related to grain boundary motions ⋮ A three-dimensional continuum simulation method for grain boundary motion incorporating dislocation structure ⋮ Grain growth and the effect of different time scales ⋮ Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries

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