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Analytical solutions of bending analysis and vibration of rectangular nano laminates with surface effects

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Publication:2110055
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DOI10.1016/J.APM.2022.06.012zbMath1505.74080OpenAlexW4282977086MaRDI QIDQ2110055

Jie Wang, Junhua Xiao

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.06.012


zbMATH Keywords

free vibrationsurface effectsbending deflectionLévy methodnano laminates


Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)


Related Items (1)

Variational analysis of laminated nanoplates for various boundary conditions




Cites Work

  • Size dependent forced vibration of nanoplates with consideration of surface effects
  • A continuum theory of elastic material surfaces
  • Addenda to our paper: A continuum theory of elastic material surfaces
  • Surface stress in solids
  • Static and dynamic analyses of nanoscale rectangular plates incorporating surface energy
  • Surface effect on the biaxial buckling and free vibration of FGM nanoplate embedded in visco-Pasternak standard linear solid-type of foundation
  • Thin plate theory including surface effects




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