Multiscale Analysis by Γ‐Convergence of a One‐Dimensional Nonlocal Functional Related to a Shell‐Membrane Transition

DOI10.1137/050630829zbMath1117.49016OpenAlexW2085843513MaRDI QIDQ3440237

Andrea Braides, Vanda Valente, Nadia Ansini

Publication date: 22 May 2007

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050630829

zbMATH Keywords

energy minimizationshell theoryrelaxationGibbs phenomenonmultiscale analysis\(\Gamma\)-convergencemembrane theory

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Shells (74K25) Methods involving semicontinuity and convergence; relaxation (49J45) Membranes (74K15)

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