Analogies between Kirchhoff plates and Saint-Venant beams under flexure

DOI10.1007/s00707-013-1085-xzbMath1401.74181OpenAlexW2044770630MaRDI QIDQ398564

Raffaele Barretta

Publication date: 15 August 2014

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-1085-x

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Saint-Venant's principle (74G50) Plates (74K20) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (7)

On non-linear flexure of beams based on non-local elasticity theory ⋮ Analogies between \textsc{Kirchhoff} plates and functionally graded \textsc{Saint-Venant} beams under torsion ⋮ Linear and nonlinear flexural analysis of higher-order shear deformation laminated plates with circular delamination ⋮ Generalized Timoshenko‐Reissner models for beams and plates, strongly heterogeneous in the thickness direction ⋮ An elastic plate bending equation of second-order accuracy ⋮ Two-dimensional linear models of multilayered anisotropic plates ⋮ Buckling of carbon nanotube (CNT)-reinforced composite skew plates by the discrete singular convolution method

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• Analogy between refined beam theories and the Bernoulli-Euler theory
• On Cesàro-Volterra method in orthotropic Saint-Venant beam
• Existence Theorems in Linear and Semi-Linear Elasticity

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