Two-dimensional elasticity solution for bending of functionally graded beams with variable thickness

DOI10.1007/S11012-014-9958-1zbMath1299.74111OpenAlexW2069075795MaRDI QIDQ475623

Yepeng Xu, Ding Zhou, Tian Tang Yu

Publication date: 27 November 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-014-9958-1

zbMATH Keywords

variable thicknessanalytical methodtwo-dimensional elasticityfunctionally graded beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05)

Cites Work

• Shear deformation effect in non-linear analysis of composite beams of variable cross section
• Two-dimensional analysis of simply supported piezoelectric beams with variable thickness
• Semi-analytical elasticity solutions for bi-directional functionally graded beams
• Static analysis of functionally graded beams using higher order shear deformation theory
• Elasticity solution of clamped-simply supported beams with variable thickness
• Elasticity solution of multi-span beams with variable thickness under static loads
• Elasticity solutions for plane anisotropic functionally graded beams
• Deflections of Timoshenko beam with varying cross-section
• A new beam finite element for the analysis of functionally graded materials.
• Elastic behaviour of an orthotropic beam/one-dimensional plate of uniform and variable thickness
• An analytical study on the nonlinear vibration of functionally graded beams
• Static analysis of anisotropic functionally graded magneto-electro-elastic beams subjected to arbitrary loading
• Static and vibration analysis of functionally graded beams using refined shear deformation theory
• A Combined Fourier Series–Galerkin Method for the Analysis of Functionally Graded Beams
• Exact static deflection of a non-uniform bernoulli-euler beam with general elastic end restraints
• Static analysis of nonuniform timoshenko beams

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