Homogenized and classical expressions for static bending solutions for functionally graded material Levinson beams

DOI10.1007/S10483-015-1956-9zbMath1322.74034OpenAlexW1196059327MaRDI QIDQ748135

Xu An Wang, Ze-Qing Wan, Shi-Rong Li

Publication date: 20 October 2015

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-015-1956-9

zbMATH Keywords

functionally graded material (FGM) beambending solutionEuler- Bernoulli beam theory (EBBT)Levinson beam theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30)

Related Items (2)

Free vibration analysis of functionally graded material beams based on Levinson beam theory ⋮ Thermal buckling analysis of functionally graded cylindrical shells

Cites Work

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• Mathematical solution for bending of short hybrid composite beams with variable fibers spacing
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• Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory
• Bending solutions of FGM Timoshenko beams from those of the homogenous Euler-Bernoulli beams
• Post-buckling and nonlinear free vibration analysis of geometrically imperfect functionally graded beams resting on nonlinear elastic foundation
• A new rectangular beam theory
• Bending solutions of Levinson beams and plates in terms of the classical theories

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