Analysis of a curved Timoshenko nano-beam with flexoelectricity

DOI10.1007/S00707-020-02901-6zbMath1475.74084OpenAlexW3129290768MaRDI QIDQ2234201

Seyed Mahmoud Hosseini, Jan Sladek, Vladimir Sládek

Publication date: 18 October 2021

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

Full work available at URL: https://doi.org/10.1007/s00707-020-02901-6

zbMATH Keywords

convergencevariational principlestrain gradientbeam deflectionTaylor series solutionelectric intensity vector

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) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15)

Related Items (1)

On the calibration of size parameters related to non-classical continuum theories using molecular dynamics simulations

Cites Work

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• A Timoshenko dielectric beam model with flexoelectric effect
• A theory of flexoelectricity with surface effect for elastic dielectrics
• A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
• Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity
• Theories and analyses of thin and moderately thick laminated composite curved beams
• Timoshenko curved beam bending solutions in terms of Euler-Bernoulli solutions
• On nonlinear bending behavior of FG porous curved nanotubes
• Effects of electric field and strain gradients on cracks in piezoelectric solids
• On nonlocal mechanics of curved elastic beams
• Free Vibrations Of Circular Arches: A Review

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