Optimization of Textile-Like Materials via Homogenization and Beam Approximations

DOI10.1137/15M1017193zbMath1338.35424OpenAlexW2345548318MaRDI QIDQ2806421

Julia Orlik, Gregory P. Panasenko, V. I. Shiryayev

Publication date: 18 May 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1017193

zbMATH Keywords

optimizationlinear elasticityhomogenizationdimension reductionbeam models

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods involving duality (49M29) Numerical methods based on necessary conditions (49M05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with control and optimization (35Q93)

Related Items (9)

Asymptotic behavior of \(3D\) unstable structures made of beams ⋮ Mixed isogeometric collocation for geometrically exact 3D beams with elasto-visco-plastic material behavior and softening effects ⋮ Asymptotic behavior for textiles with loose contact ⋮ On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition ⋮ Identification of microstructural information from macroscopic boundary measurements in steady‐state linear elasticity ⋮ Symbolic homogenization and structure optimization for a periodically perforated cylindrical shell ⋮ Asymptotic behavior of stable structures made of beams ⋮ Asymptotic Behavior for Textiles ⋮ On the effective stiffnesses of corrugated plates of various geometries

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