Stability and vibration of a nanoplate under body force using nonlocal elasticity theory

DOI10.1007/s00707-017-1962-9zbMath1381.74101OpenAlexW2756959847MaRDI QIDQ1703771

Nikola Despotovic

Publication date: 7 March 2018

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

Full work available at URL: https://doi.org/10.1007/s00707-017-1962-9

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Stability of dynamical problems in solid mechanics (74H55)

Related Items (8)

A review of dynamic analyses of single- and multi-layered graphene sheets/nanoplates using various nonlocal continuum mechanics-based plate theories ⋮ Vibration energy flow analysis of periodic nanoplate structures under thermal load using fourth-order strain gradient theory ⋮ Stress-driven nonlocal integral elasticity for axisymmetric nano-plates ⋮ Analyzing the bond behavior of fiber-reinforced polymer (FRP) bars embedded in engineered cementitious composites (ECCs) with the nonlocal continuum rod model ⋮ Stabilization and asymptotic behavior of non local damped wave equations ⋮ Free vibration analysis of graded porous circular micro/nanoplates with various boundary conditions based on the nonlocal elasticity theory ⋮ Modeling size-dependent thermoelastic energy dissipation of graphene nanoresonators using nonlocal elasticity theory ⋮ Comparison of nano-plate bending behaviour by eringen nonlocal plate, Hencky bar-net and continualised nonlocal plate models

Cites Work

• Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory
• Thermal buckling of a nanoplate with small-scale effects
• Small-scale effects on the buckling of quadrilateral nanoplates based on nonlocal elasticity theory using the Galerkin method
• Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity
• Free vibration analysis of nano-plate using three-dimensional theory of elasticity
• An analytical study on the buckling and free vibration of rectangular nanoplates using nonlocal third-order shear deformation plate theory
• Fundamental size dependent natural frequencies of non-uniform orthotropic nano scaled plates using nonlocal variational principle and finite element method
• VIBRATION AND STABILITY OF A HEAVY AND HEATED VERTICAL CIRCULAR PLATE
• BUCKLING OF STANDING VERTICAL PLATES UNDER BODY FORCES
• Nonlocal Continuum Field Theories
• Analysis of Heterogeneous Anisotropic Plates
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