Matching boundary conditions for diatomic chains

DOI10.1007/s00466-010-0515-zzbMath1344.74048OpenAlexW2057781193MaRDI QIDQ707612

Xianming Wang, Shao-Qiang Tang

Publication date: 8 October 2010

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0515-z

zbMATH Keywords

dispersion relationdiatomic chainmultiscale computationmatching boundary conditionoptical phonon

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Phase transformations in solids (74N99) Numerical and other methods in solid mechanics (74S99)

Related Items (9)

Stable absorbing boundary conditions for molecular dynamics in general domains ⋮ Artificial boundary conditions for out-of-plane motion in penta-graphene ⋮ Matching boundary conditions for lattice dynamics ⋮ Bridging scale simulation of lattice fracture using enriched space-time Finite Element Method ⋮ Artificial boundary conditions for atomic simulations of face-centered-cubic lattice ⋮ Accurate boundary treatment for Riesz space fractional diffusion equations ⋮ Nonlocal matching boundary conditions for non-ordinary peridynamics with correspondence material model ⋮ Eliminating corner effects in square lattice simulation ⋮ Sine-Gordon Solitons and Breathers in Rod-like Magnetic Liquid Crystals under External Magnetic Field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An introduction to computational nanomechanics and materials
• Time history interfacial conditions in multiscale computations of lattice oscillations
• Exact non-reflecting boundary conditions
• A perfectly matched layer for the absorption of electromagnetic waves
• Coupling of atomistic and continuum simulations using a bridging scale decomposition.
• Three-dimensional bridging scale analysis of dynamic fracture
• A dynamic atomistic--continuum method for the simulation of crystalline materials
• A finite difference approach with velocity interfacial conditions for multiscale computations of crystalline solids
• A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations
• A mathematical framework of the bridging scale method
• A Green's function approach to deriving non‐reflecting boundary conditions in molecular dynamics simulations

This page was built for publication: Matching boundary conditions for diatomic chains