Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method

DOI10.1007/S10483-019-2515-9zbMath1431.74067OpenAlexW2953711299WikidataQ127750887 ScholiaQ127750887MaRDI QIDQ2304184

Yang Zhao, Xin Lin, Tian-Shu Wang, Yi-Xin Huang

Publication date: 6 March 2020

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

Full work available at URL: https://doi.org/10.1007/s10483-019-2515-9

zbMATH Keywords

Euler-Bernoulli beamhomotopy analysis method (HAM)axially functionally graded (AFG) materiallarge deformation 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) Composite and mixture properties (74E30)

Related Items (4)

Application of the homotopy analysis method to nonlinear characteristics of a piezoelectric semiconductor fiber ⋮ Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory ⋮ Analytical solution for arbitrary large deflection of geometrically exact beams using the homotopy analysis method ⋮ Static analysis of composite beams on variable stiffness elastic foundations by the homotopy analysis method

Cites Work

• Series solution for large deflections of a cantilever beam with variable flexural rigidity
• Large deflection of cantilever beams with geometric non-linearity: analytical and numerical approaches
• Large deflections of tapered functionally graded beams subjected to end forces
• An explicit solution of the large deformation of a cantilever beam under point load at the free tip
• Beyond Perturbation

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