On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements

DOI10.1016/0045-7825(75)90001-8zbMath0301.73023OpenAlexW2076735422MaRDI QIDQ1215426

Fumio Kikuchi

Publication date: 1975

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(75)90001-8

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Thin bodies, structures (74K99) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

• A note on the convergence of finite element approximations for problems formulated in curvilinear coordinate systems
• Ein Kriterium für die Quasi-Optimalität des Titzschen Verfahrens
• On the validity of an approximation available in the finite element shell analysis
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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