Multi-materials with strong interface: Young measures formulation

DOI10.1016/J.MATPUR.2009.08.004zbMath1218.49019OpenAlexW2024009330MaRDI QIDQ968872

Anne-Laure Bessoud

Publication date: 10 May 2010

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.08.004

zbMATH Keywords

Young measuresmicrostructures\(\varGamma \)-convergencevariational convergences

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15)

Cites Work

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• Characterizations of Young measures generated by gradients
• Gradient Young measures generated by sequences in Sobolev spaces
• Parametrized measures and variational principles
• Interchange of infimum and integral
• The energy density of martensitic thin films via dimension reduction
• A theory of thin films of martensitic materials with applications to microactuators
• Q-superlinear convergence of the GMRES algorithm for multi-materials with strong interface
• The nonlinear membrane model: a Young measure and varifold formulation
• Multi-materials with strong interface: Variational modelings
• Thin inclusions in linear elasticity: a variational approach.
• Analysis of Concentration and Oscillation Effects Generated by Gradients

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