A phase field model for the motion of prismatic dislocation loops by both climb and self-climb

DOI10.1016/J.CAM.2023.115572zbMath1526.35117arXiv2301.06823OpenAlexW4386812694MaRDI QIDQ6079941

Xiaodong Yan, Xiaohua Niu

Publication date: 30 October 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06823

zbMATH Keywords

phase field modelperiodic boundary conditionsnumerical simulationsprismatic dislocation loopsCahn-Hilliard/Allen-Cahnself-climb

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact sets in the space \(L^ p(0,T;B)\)
• The self-force on a planar dislocation loop in an anisotropic linear- elastic medium
• Surface evolution of elastically stressed films under deposition by a diffuse interface model
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Motion of Interfaces Governed by the Cahn--Hilliard Equation with Highly Disparate Diffusion Mobility
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Weak solutions for the Cahn-Hilliard equation with degenerate mobility

This page was built for publication: A phase field model for the motion of prismatic dislocation loops by both climb and self-climb