Nonlocal integral static problems of nanobeams resting on an elastic foundation
type: Item
instance of: scholarly article
title: Nonlocal integral static problems of nanobeams resting on an elastic foundation
zbMATH Open document ID: 1480.74185
author: C. Chr. Koutsoumaris
author: K. G. Eptaimeros
published in: European Journal of Mechanics. A. Solids
publication date: 2021-08-27T00:00:00Z
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 7387229
zbMATH Keywords: nonlocal Eringen elasticity
zbMATH Keywords: integral equation
zbMATH Keywords: modified kernel model
zbMATH Keywords: two-phase stress model
zbMATH Keywords: finite element method
zbMATH Keywords: Pasternak elastic foundation
MaRDI profile type: Publication
full work available at URL: j.euromechsol.2021.104295
OpenAlex ID: W3154176879
cites work: Uniqueness of initial-boundary value problems in nonlocal elasticity
cites work: Constitutively optimal governing equations for higher-grade elastic beams
cites work: A sixth-order compact finite difference method for vibrational analysis of nanobeams embedded in an elastic medium based on nonlocal beam theory
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: Bending of beams on three-parameter elastic foundation
cites work: A symmetric nonlocal damage theory.
cites work: Dynamic analysis of beams on viscoelastic foundation
cites work: Two-field variational formulations for the problem of the beam on a continuous elastic support
cites work: Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations
cites work: A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation
cites work: A generalized integro-differential theory of nonlocal elasticity of \(n\)-Helmholtz type. I: Analytical formulation and thermodynamic framework
cites work: Free vibrations of Timoshenko beams on two-parameter elastic foundation
cites work: Eigenfrequencies of microtubules embedded in the cytoplasm by means of the nonlocal integral elasticity
cites work: Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts
cites work: Nonlocal Continuum Field Theories
cites work: Crack-tip problem in non-local elasticity
cites work: On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale
cites work: Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
cites work: Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
cites work: The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
cites work: Exact analysis of beams on two-parameter elastic foundations
cites work: Structural analysis of gradient elastic components
cites work: Elastic and Viscoelastic Foundation Models
cites work: An explicit solution for bending of nanowires lying on Winkler-Pasternak elastic substrate medium based on the Euler-Bernoulli beam theory
cites work: On vibrations of nanobeam systems
cites work: A unified integro-differential nonlocal model
cites work: Beam bending problems on a Pasternak foundation using reciprocal variational inequalities
cites work: A research into bi-Helmholtz type of nonlocal elasticity and a direct approach to Eringen's nonlocal integral model in a finite body
cites work: Screw dislocation in nonlocal anisotropic elasticity
cites work: Defects in gradient micropolar elasticity. I: Screw dislocation
cites work: Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
cites work: Buckling characteristics of embedded multi-walled carbon nanotubes
cites work: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
cites work: A finite element analysis of beams on elastic foundation including shear and axial effects
cites work: Bending and stability analysis of gradient elastic beams
cites work: Closed form solution for a nonlocal elastic bar in tension.
cites work: Nonlocal elasticity and related variational principles
cites work: Steady-state response of a finite beam on a Pasternak-type foundation
cites work: Nonlocal theories for bending, buckling and vibration of beams
cites work: Discrete kernel functions for fcc crystals within Eringen's nonlocal theory of elasticity
cites work: Vibrations of continuous Timoshenko beams on Winkler-Pasternak foundations
DOI: 10.1016/J.EUROMECHSOL.2021.104295
description: scientific article; zbMATH DE number 7387229