A variational model of interaction between continuum and discrete systems

DOI10.1142/S0218202514500134zbMath1293.49028OpenAlexW2140678017MaRDI QIDQ5494820

Roberto Alicandro, Nadia Ansini

Publication date: 30 July 2014

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

Full work available at URL: https://doi.org/10.1142/s0218202514500134

zbMATH Keywords

\(\Gamma\)-convergenceperforated domainsatomistic-to-continuum limit

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Homogenization, determination of effective properties in solid mechanics (74Q99)

Related Items (1)

A compactness theorem for functions on Poisson point clouds

Cites Work

• Unnamed Item
• Asymptotic analysis of periodically-perforated nonlinear media.
• Validity and failure of the Cauchy-Born hypothesis in a two-dimensional mass-spring lattice
• The Passage from Discrete to Continuous Variational Problems: a Nonlinear Homogenization Process
• Analysis of Concentration and Oscillation Effects Generated by Gradients
• A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth
• THE NEUMANN SIEVE PROBLEM AND DIMENSIONAL REDUCTION: A MULTISCALE APPROACH
• SURFACE ENERGIES IN NONCONVEX DISCRETE SYSTEMS

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