Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries
DOI10.1137/20M1366782zbMath1487.35363arXiv2101.02596WikidataQ113779066 ScholiaQ113779066MaRDI QIDQ5865243
Xiaoxue Qin, Luchan Zhang, Yejun Gu, Yang Xiang
Publication date: 13 June 2022
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.02596
dislocationsconstrained energy minimizationgrain boundary energylow angle grain boundariesFrank's formula
Numerical methods based on nonlinear programming (49M37) Structured surfaces and interfaces, coexistent phases (74A50) Stress (74A10) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- A continuum model for the dynamics of dislocation arrays
- Diffusion generated motion for grain growth in two and three dimensions
- Continuum framework for dislocation structure, energy and dynamics of dislocation arrays and low angle grain boundaries
- Fast parallel algorithms for short-range molecular dynamics
- A continuum model of grain boundaries
- Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
- A three-dimensional continuum simulation method for grain boundary motion incorporating dislocation structure
- A generalization of the three-dimensional MacPherson-Srolovitz formula
- An adaptive level set method based on two-level uniform meshes and its application to dislocation dynamics
- EVOLUTION OF GRAIN BOUNDARIES
- Motion of Grain Boundaries with Dynamic Lattice Misorientations and with Triple Junctions Drag
- A New Formulation of Coupling and Sliding Motions of Grain Boundaries Based on Dislocation Structure
- Numerical Solution of the Navier-Stokes Equations
- Dislocation Models of Crystal Grain Boundaries
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