Models of defects in atomistic systems

DOI10.1007/s00526-010-0354-yzbMath1216.49012OpenAlexW2060587885MaRDI QIDQ532554

Andrea Braides, Laura Sigalotti

Publication date: 5 May 2011

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-010-0354-y

zbMATH Keywords

behavior of discrete systemsdiscrete Neumann sievefree-discontinuity continuous energieslimit surface energy densities

Mathematics Subject Classification ID

Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Theories of fracture and damage (74A45) Homogenization in equilibrium problems of solid mechanics (74Q05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Discrete approximations in optimal control (49M25)

Related Items (2)

Quantitative analysis of finite-difference approximations of free-discontinuity problems ⋮ A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions

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