Nonlocal integral static problems of nanobeams resting on an elastic foundation
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Publication:2049656
DOI10.1016/j.euromechsol.2021.104295zbMath1480.74185OpenAlexW3154176879MaRDI QIDQ2049656
K. G. Eptaimeros, C. Chr. Koutsoumaris
Publication date: 27 August 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.2021.104295
finite element methodintegral equationPasternak elastic foundationmodified kernel modelnonlocal Eringen elasticitytwo-phase stress model
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Elastic materials (74B99)
Related Items (3)
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Cites Work
- On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- A sixth-order compact finite difference method for vibrational analysis of nanobeams embedded in an elastic medium based on nonlocal beam theory
- Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
- Nonlocal theories for bending, buckling and vibration of beams
- Uniqueness of initial-boundary value problems in nonlocal elasticity
- Dynamic analysis of beams on viscoelastic foundation
- Exact analysis of beams on two-parameter elastic foundations
- Crack-tip problem in non-local elasticity
- Two-field variational formulations for the problem of the beam on a continuous elastic support
- A symmetric nonlocal damage theory.
- A unified integro-differential nonlocal model
- Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
- On vibrations of nanobeam systems
- Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
- Screw dislocation in nonlocal anisotropic elasticity
- An explicit solution for bending of nanowires lying on Winkler-Pasternak elastic substrate medium based on the Euler-Bernoulli beam theory
- A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation
- Statics and dynamics of nanorods embedded in an elastic medium: nonlocal elasticity and lattice formulations
- A research into bi-Helmholtz type of nonlocal elasticity and a direct approach to Eringen's nonlocal integral model in a finite body
- Bending and stability analysis of gradient elastic beams
- Closed form solution for a nonlocal elastic bar in tension.
- Discrete kernel functions for fcc crystals within Eringen's nonlocal theory of elasticity
- Eigenfrequencies of microtubules embedded in the cytoplasm by means of the nonlocal integral elasticity
- Constitutively optimal governing equations for higher-grade elastic beams
- Interior penalty discontinuous Galerkin FEMs for a gradient beam and cnts
- Bending of beams on three-parameter elastic foundation
- Structural analysis of gradient elastic components
- Steady-state response of a finite beam on a Pasternak-type foundation
- Defects in gradient micropolar elasticity. I: Screw dislocation
- A finite element analysis of beams on elastic foundation including shear and axial effects
- Nonlocal Continuum Field Theories
- The Mode III Crack Problem in Microstructured Solids Governed by Dipolar Gradient Elasticity: Static and Dynamic Analysis
- Beam bending problems on a Pasternak foundation using reciprocal variational inequalities
- Vibrations of continuous Timoshenko beams on Winkler-Pasternak foundations
- The Numerical Solution of Integral Equations of the Second Kind
- Free vibrations of Timoshenko beams on two-parameter elastic foundation
- Elastic and Viscoelastic Foundation Models
- Buckling characteristics of embedded multi-walled carbon nanotubes
- Nonlocal elasticity and related variational principles
- A generalized integro-differential theory of nonlocal elasticity of \(n\)-Helmholtz type. I: Analytical formulation and thermodynamic framework
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