Reconsiderations on boundary conditions of Kirchhoff micro-plate model based on a strain gradient elasticity theory

DOI10.1016/j.apm.2016.03.014zbMath1471.74049OpenAlexW2308947684MaRDI QIDQ2293368

Shenghua Huang, Jun-Feng Zhao, Shen-Jie Zhou, Bing-Lei Wang

Publication date: 5 February 2020

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

Full work available at URL: https://doi.org/10.1016/j.apm.2016.03.014

zbMATH Keywords

boundary conditionssize effectstrain gradient elasticity theoryextended Kantorovich methodKirchhoff micro-plate

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Plates (74K20) Micromechanics of solids (74M25)

Related Items (8)

Stress analysis of rotating nano-disks of variable thickness made of functionally graded materials ⋮ Strong unique continuation and global regularity estimates for nanoplates ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates ⋮ Inverse load identification in vibrating nanoplates ⋮ A size-dependent elastic theory for magneto-electro-elastic materials ⋮ Small scale effects on buckling and postbuckling behaviors of axially loaded FGM nanoshells based on nonlocal strain gradient elasticity theory ⋮ Strain gradient differential quadrature Kirchhoff plate finite element with the \(C^2\) partial compatibility ⋮ The effect of bi-axial in-plane loads on nonlinear dynamics of micro-plates under harmonic excitation

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