One-dimensional equations of deformation of thin slightly curved rods. Asymptotical analysis and justification

DOI10.1070/IM2000v064n03ABEH000290zbMath0996.74051OpenAlexW2073548511MaRDI QIDQ4523904

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Publication date: 31 October 2002

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2000v064n03abeh000290

zbMATH Keywords

small parameterapproximationanisotropyerror estimateasymptotic analysisrodelasticity theoryKorn's inequalitynon-homogeneitythin bodyweighting factorsone-dimensional equationsexternal loadsthree-dimensional displacementthree-dimensional stress field

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

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