Variational evolution of one-dimensional Lennard-Jones systems

DOI10.3934/nhm.2014.9.217zbMath1321.35229OpenAlexW2067446371MaRDI QIDQ480067

Anneliese Defranceschi, Andrea Braides, Enrico Vitali

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.217

zbMATH Keywords

minimizing movementsvariational evolutionFracture MechanicsLennard-Jones systems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Theories of fracture and damage (74A45) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Minimizing movements along a sequence of functionals and curves of maximal slope ⋮ On continuum limits of heterogeneous discrete systems modelling cracks in composite materials ⋮ Static, quasistatic and dynamic analysis for scaled Perona-Malik functionals

Cites Work

• Local minimization, variational evolution and \(\Gamma\)-convergence
• Motion and pinning of discrete interfaces
• Asymptotic expansions by \(\Gamma \)-convergence
• An introduction to \(\Gamma\)-convergence
• Effective cohesive behavior of layers of interatomic planes
• Gamma-convergence of gradient flows with applications to Ginzburg-Landau
• On the heat flow on metric measure spaces: existence, uniqueness and stability
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