Variational analysis of laminated nanoplates for various boundary conditions
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Publication:2092952
DOI10.1007/S00707-022-03352-XzbMath1505.74140OpenAlexW4297491925MaRDI QIDQ2092952
Publication date: 4 November 2022
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-022-03352-x
residual stresseffective bending stiffnessfree vibrationbending deflectionGurtin-Murdoch theorydisplacement variational methodfirst-order frequencysurface Lamé constant
Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Micromechanics of solids (74M25) Composite and mixture properties (74E30)
Cites Work
- A continuum theory of elastic material surfaces
- Addenda to our paper: A continuum theory of elastic material surfaces
- Surface stress in solids
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- Free vibration analysis of nano-plate in viscous fluid medium using nonlocal elasticity
- Bending of circular nanoplates with consideration of surface effects
- Analytical solutions of bending analysis and vibration of rectangular nano laminates with surface effects
- A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects
- Thin plate theory including surface effects
- Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
- Some fundamental aspects of surface modelling
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