Elastica solution for thermal bending of a functionally graded beam

DOI10.1007/S00707-013-0834-1zbMath1321.74037OpenAlexW2043397551MaRDI QIDQ359439

S. V. Levyakov

Publication date: 12 August 2013

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

Full work available at URL: https://doi.org/10.1007/s00707-013-0834-1

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thermal effects in solid mechanics (74F05)

Related Items (7)

On boundary conditions for thermally loaded FG beams ⋮ On the thermally induced non-linear response of functionally graded beams ⋮ Nonlinear thermal dynamic buckling of FGM beams ⋮ Vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving load ⋮ Homogenized and classical expressions for static bending solutions for functionally graded material Levinson beams ⋮ Nonlinear bending of elastoplastic functionally graded ceramic-metal beams subjected to nonuniform distributed loads ⋮ Thermal elastica of shear-deformable beam fabricated of functionally graded material

Cites Work

• Unnamed Item
• Exact solutions for nonlinear static responses of a shear deformable FGM beam under an in-plane thermal loading
• Nonlinear analysis of functionally graded plates in cylindrical bending under thermomechanical loadings based on a layerwise theory
• A continuum mechanics based derivation of Reissner's large-displacement finite-strain beam theory: the case of plane deformations of originally straight Bernoulli-Euler beams

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