An optimal design method based on small amplitude homogenization

DOI10.1007/s11401-015-0979-4zbMath1328.49010OpenAlexW1762102279MaRDI QIDQ746379

Sergio Gutiérrez

Publication date: 16 October 2015

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-015-0979-4

zbMATH Keywords

inverse problemshomogenizationrelaxationstress concentrationelastic bodiesoptimal design method

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) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems in optimal control (49N45)

Related Items

On the effective properties of composite elastic plate

Cites Work

• Detection of weak defects in elastic bodies through small amplitude homogenization
• OPTIMAL DESIGN OF LOW-CONTRAST TWO-PHASE STRUCTURES FOR THE WAVE EQUATION
• Optimal design in small amplitude homogenization
• H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations
• Shape optimization by the homogenization method

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