Elastic Far-Field Decay from Dislocations in Multilattices

DOI10.1137/22m1502021zbMath1527.74009arXiv1910.12269OpenAlexW4387576836MaRDI QIDQ6066779

Yangshuai Wang, Derek Olson, Christoph Ortner, Lei Zhang

Publication date: 13 December 2023

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12269

zbMATH Keywords

dislocationselastic fieldsmultilattices

Mathematics Subject Classification ID

Crystalline structure (74E15) Energy minimization in equilibrium problems in solid mechanics (74G65) Regularity of solutions of equilibrium problems in solid mechanics (74G40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Cites Work

• Unnamed Item
• Unnamed Item
• Analysis of boundary conditions for crystal defect atomistic simulations
• Existence and stability of a screw dislocation under anti-plane deformation
• Cauchy-Born rule and the stability of crystalline solids: Static problems
• Force-based atomistic/continuum blending for multilattices
• Asymptotic expansion of the elastic far-field of a crystalline defect
• Analysis of Energy-Based Blended Quasi-Continuum Approximations
• The Effect of Crystal Symmetries on the Locality of Screw Dislocation Cores
• Regularity and Locality of Point Defects in Multilattices
• Analysis of Stable Screw Dislocation Configurations in an Antiplane Lattice Model
• Symmetries of 2-Lattices and Second Order Accuracy of the Cauchy--Born Model
• QM/MM Methods for Crystalline Defects. Part 2: Consistent Energy and Force-Mixing
• QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models