Asymptotic analysis of an elastic rod with rounded ends

DOI10.1002/mma.6380zbMath1451.74141OpenAlexW3017362479MaRDI QIDQ5131600

Jari Taskinen, Andrey S. Slutskij, Sergueï A. Nazarov

Publication date: 9 November 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6380

zbMATH Keywords

linear elasticityerror estimateanisotropic weighted Korn inequalityroundness exponent

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) PDEs in connection with mechanics of deformable solids (35Q74)

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Asymptotics of the spectrum of the mixed boundary value problem for the Laplace operator in a thin spindle-shaped domain ⋮ Asymptotic analysis for plane stress problems. A classroom note ⋮ Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape

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