Effect of surface stresses on the dynamic behavior of bi-directional functionally graded nonlocal strain gradient nanobeams via generalized differential quadrature rule

DOI10.1016/J.EUROMECHSOL.2021.104376zbMath1486.74085OpenAlexW3183157524MaRDI QIDQ1982371

Nagarajan Sukavanam, Chinika Dangi, Roshan Lal

Publication date: 8 September 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104376

zbMATH Keywords

material length scale parameternonlocal strain gradient theoryEuler-Bernoulli nanobeamGurtin-Murdoch surface elasticity theoryHamilton energy principle

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Elastic materials (74B99) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

Hygrothermal effects on buckling behaviors of porous bi-directional functionally graded micro-/nanobeams using two-phase local/nonlocal strain gradient theory ⋮ Development of spectral element method for free vibration of axially-loaded functionally-graded beams using the first-order shear deformation theory ⋮ Buckling analysis of orthotropic nanoplates based on nonlocal strain gradient theory using the higher-order finite strip method (H-FSM) ⋮ Vibrations of fluid-conveying nonuniform bi-directional functionally graded nanotubes based on the refined beam theory in a thermal environment

Cites Work

• Coupling effects of nonlocal and surface energy on vibration analysis of nanobeams
• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• Atomistic viewpoint of the applicability of microcontinuum theories
• On the mechanics of functionally graded nanobeams with the account of surface elasticity
• Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
• Surface effects on nonlinear free vibration of functionally graded nanobeams using nonlocal elasticity
• A well-posed Euler-Bernoulli beam model incorporating nonlocality and surface energy effect
• A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells
• A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects
• Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams
• On the resonance of functionally graded nanoplates using bi-Helmholtz nonlocal strain gradient theory
• A review on the mechanics of functionally graded nanoscale and microscale structures
• Some fundamental aspects of surface modelling
• Dynamic analysis of bi-directional functionally graded Timoshenko nanobeam on the basis of Eringen's nonlocal theory incorporating the surface effect
• Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule

This page was built for publication: Effect of surface stresses on the dynamic behavior of bi-directional functionally graded nonlocal strain gradient nanobeams via generalized differential quadrature rule