Bending solutions of Levinson beams and plates in terms of the classical theories

DOI10.1016/S0020-7683(00)00298-5zbMath0990.74032OpenAlexW1993438708WikidataQ126551291 ScholiaQ126551291MaRDI QIDQ5939463

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Publication date: 19 August 2002

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(00)00298-5

zbMATH Keywords

shear deformationKirchhoff platebending solutionsEuler-Bernoulli beamLevinson beamLevinson plate

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20)

Related Items (8)

Exact mixed-classical solutions for the bending analysis of shear deformable rectangular plates. ⋮ A microstructure- and surface energy-dependent third-order shear deformation beam model ⋮ Moving element method for dynamic analyses of functionally graded plates resting on Pasternak foundation subjected to moving harmonic load ⋮ Bending solutions of FGM Timoshenko beams from those of the homogenous Euler-Bernoulli beams ⋮ A size-dependent Reddy-Levinson beam model based on a strain gradient elasticity theory ⋮ Homogenized and classical expressions for static bending solutions for functionally graded material Levinson beams ⋮ Axisymmetric bending analysis of thick functionally graded circular plates using fourth-order shear deformation theory ⋮ Uncertainty quantification via \(\lambda\)-Neumann methodology of the stochastic bending problem of the Levinson-Bickford beam

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