Multi-scale homogenization procedure for continuum-atomistic, thermo-mechanical problems

DOI10.1016/j.cma.2010.08.016zbMath1225.74009OpenAlexW2169206044MaRDI QIDQ643971

Karthikeyan Chockalingam, L. Carter jun. Wellford

Publication date: 2 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.08.016

zbMATH Keywords

continuummulti-scalethermo-mechanicalatomisticvirial stress

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Molecular, statistical, and kinetic theories in solid mechanics (74A25)

Related Items

A multiscale molecular dynamics method for isothermal dynamic problems using the seamless heterogeneous multiscale method

Cites Work

• Unnamed Item
• Unnamed Item
• A bridging domain method for coupling continua with molecular dynamics
• An atomistic-to-continuum coupling method for heat transfer in solids
• Non-periodic finite-element formulation of orbital-free density functional theory
• Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
• The partition of unity finite element method: basic theory and applications
• Coupling of atomistic and continuum simulations using a bridging scale decomposition.
• On a formulation for a multiscale atomistic-continuum homogenization method.
• Multiscale modeling of the dynamics of solids at finite temperature
• Generalized mathematical homogenization of atomistic media at finite temperatures in three dimensions
• A generalized space–time mathematical homogenization theory for bridging atomistic and continuum scales
• Statistical Mechanics of Nonequilibrium Liquids
• Error Estimation and Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation of a Frenkel–Kontorova Model
• On the theory of the \(\alpha\)-\(\beta\) phase transition in quartz