INTERFACIAL ENERGIES ON PENROSE LATTICES

DOI10.1142/S0218202511005295zbMath1317.74076MaRDI QIDQ3008657

Margherita Solci, Andrea Braides

Publication date: 22 June 2011

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

homogenizationaperiodic tilingsdiscrete energiesPenrose latticediscrete-to-continuum

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (8)

Compactness by Coarse-Graining in long-range lattice systems ⋮ Design of lattice surface energies ⋮ Asymptotic analysis of a ferromagnetic Ising system with ``diffuse interfacial energy ⋮ A note on the homogenization of incommensurate thin films ⋮ Homogenization of singular elliptic systems with nonlinear conditions on the interfaces ⋮ An example of non-existence of plane-like minimizers for an almost-periodic Ising system ⋮ Domain formation in magnetic polymer composites: an approach via stochastic homogenization ⋮ Non-standard coupled extensional and bending bias tests for planar pantographic lattices. I: Numerical simulations

Cites Work

• Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint
• Homogenization of Penrose tilings
• Approximation of free-discontinuity problems
• Homogenization by blow-up
• Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
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