Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory

DOI10.1016/j.apm.2014.03.036zbMath1428.74115OpenAlexW2011609148MaRDI QIDQ1634561

Y. Aharonov

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.apm.2014.03.036

zbMATH Keywords

finite element methodelastic substratenonlocal elasticity theorybuckling analysismulti-layered graphene sheet

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Bifurcation and buckling (74G60)

Related Items (10)

A review of dynamic analyses of single- and multi-layered graphene sheets/nanoplates using various nonlocal continuum mechanics-based plate theories ⋮ Exact solution of Eringen's nonlocal integral model for bending of Euler-Bernoulli and Timoshenko beams ⋮ Analogies between nonlocal and local Bernoulli-Euler nanobeams ⋮ Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method ⋮ Buckling analysis of graphene sheets embedded in an elastic medium based on the kp-Ritz method and non-local elasticity theory ⋮ Viscoelastic wave propagation analysis of axially motivated double-layered graphene sheets via nonlocal strain gradient theory ⋮ On the importance of proper kernel normalization procedure in nonlocal integral continuum modeling of nanobeams ⋮ Large deflection of thermo-mechanical loaded bilayer orthotropic graphene sheet in/on polymer matrix based on nonlocal elasticity theory ⋮ Nonlinear dynamic analysis for a corrugated thin film on a pre-strained finite-thickness bi-layer substrate ⋮ On the nano-structural dependence of nonlocal dynamics and its relationship to the upper limit of nonlocal scale parameter

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