A Beam—Just a Beam in Linear Plane Bending

DOI10.1007/978-3-030-17747-8_18zbMath1464.74094OpenAlexW2976709889MaRDI QIDQ5131284

R. Kienzler, Patrick Schneider

Publication date: 5 November 2020

Published in: Advanced Structured Materials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-17747-8_18

zbMATH Keywords

Timoshenko beamuniform approximationEuler-Bernoulli beamTaylor series expansionpseudo-reductionconsistent beam theory

Mathematics Subject Classification ID

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

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Cites Work

• Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
• On consistent plate theories
• A Reissner-type plate theory for monoclinic material derived by extending the uniform-approximation technique by orthogonal tensor decompositions of \( n\)th-order gradients
• Two-dimensional model of order h⁵ for the combined bending, stretching, transverse shearing and transverse normal stress effect of homogeneous plates derived from three-dimensional elasticity
• [https://portal.mardi4nfdi.de/wiki/Publication:3960282 Eine Erweiterung der klassischen Schalentheorie; der Einflu� von Dickenverzerrungen und Querschnittsverw�lbungen]
• A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
• Modeling of consistent second‐order plate theories for anisotropic materials
• On the Theory of Bending of Elastic Plates
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