Optimization of finite rod structures and L-convergence

DOI10.1023/A:1022894003445zbMath0952.74054OpenAlexW207046604MaRDI QIDQ1972774

R. Chiheb, Gregory P. Panasenko

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022894003445

zbMATH Keywords

small parameterboundary value problemsshape optimizationlattice structureasymptotic reduction\(L\)-convergencethin cylindersfinite rod structuresiterative numerical method of frozen fluxes

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization of other properties in solid mechanics (74P10) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization of shapes other than minimal surfaces (49Q10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Junctions (74K30)

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