A size‐dependent Bernoulli‐Euler beam model based on strain gradient elasticity theory incorporating surface effects

DOI10.1002/zamm.201800048OpenAlexW2932804587WikidataQ128095683 ScholiaQ128095683MaRDI QIDQ6183599

Shen-Jie Zhou, Guangyang Fu, Lu Qi

Publication date: 4 January 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201800048

zbMATH Keywords

Hamilton's principlesurface effectsBernoulli-Euler beamstrain gradient effectssize-dependent

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Micromechanics of solids (74M25) Elastic materials (74B99)

Related Items (3)

A simplified deformation gradient theory and its experimental verification ⋮ Vibrations and buckling of orthotropic small‐scale plates with complex shape based on modified couple stress theory ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates

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