From the Euler-Bernoulli beam to the Timoshenko one through a sequence of Reddy-type shear deformable beam models of increasing order

DOI10.1016/j.euromechsol.2015.03.005zbMath1406.74404OpenAlexW2002129076MaRDI QIDQ1657684

Castrenze Polizzotto

Publication date: 14 August 2018

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2015.03.005

zbMATH Keywords

elastic beam theorieshigher order beamsshear deformable beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Composite and mixture properties (74E30)

Related Items (9)

A 2D warping theory for shear deformable elastic beams of axisymmetric cross section in flexure ⋮ Unified theory of \(2n+1\) order size-dependent beams: mathematical difficulty for functionally graded size-effect parameters solved ⋮ A class of shear deformable isotropic elastic plates with parametrically variable warping shapes ⋮ Size effects on centrosymmetric anisotropic shear deformable beam structures ⋮ On the application of fractional calculus for the formulation of viscoelastic Reddy beam ⋮ The tale of shear coefficients in Timoshenko-Ehrenfest beam theory: 130 years of progress ⋮ Analytical solutions of Reddy, Timoshenko and Bernoulli beam models: a comparative analysis ⋮ Rigorous amendment of Vlasov's theory for thin elastic plates on elastic Winkler foundations, based on the principle of virtual power ⋮ Shear locking in one-dimensional finite element methods

Cites Work

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• Nonlocal theories for bending, buckling and vibration of beams
• Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity.
• A new zig-zag model for laminated composite beams: free vibration analysis
• A higher order beam finite element for bending and vibration problems
• A Simple Higher-Order Theory for Laminated Composite Plates
• A new rectangular beam theory
• The Shear Coefficient in Timoshenko’s Beam Theory

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