A homotopy analysis solution to large deformation of a nanowire based on nonlocal elasticity theory

DOI10.1007/S40314-022-02010-1zbMath1498.74046OpenAlexW4297903047MaRDI QIDQ2085004

Batoul Yousefi, Hossein Baradaran

Publication date: 14 October 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02010-1

zbMATH Keywords

deflectionEuler-Bernoulli beambending momenthomotopy analysis methodEringen nonlocal elasticity

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) Elastic materials (74B99)

Cites Work

• Nonlocal theories for bending, buckling and vibration of beams
• Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory
• A nonlocal beam theory for bending, buckling, and vibration of nanobeams
• A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams
• Nonlinear finite element modeling of large deformation of nanobeams
• A homotopy analysis solution to large deformation of beams under static arbitrary distributed load
• Numerical analysis and simulation for Rayleigh beam equation with dynamical boundary controls
• Large deflection analysis of nanowires based on nonlocal theory using total Lagrangian finite element method
• Nonlocal Continuum Field Theories
• Beyond Perturbation

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