Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case

DOI10.1007/s10255-007-0364-5zbMath1177.65091OpenAlexW2019595014MaRDI QIDQ1036868

Frédéric Legoll, Xavier Blanc, Claude Le Bris

Publication date: 13 November 2009

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-007-0364-5

zbMATH Keywords

error analysiscontinuum mechanicsvariational problemsatomistic modelmultiscale methodsdiscrete mechanicsmacroscopic model

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stress concentrations, singularities in solid mechanics (74G70) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Existence theories for optimal control problems involving ordinary differential equations (49J15) Analysis of microstructure in solids (74N15) Discrete approximations in optimal control (49M25)

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Cites Work

• Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case
• From molecular models to continuum mechanics
• Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics
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