A research into bi-Helmholtz type of nonlocal elasticity and a direct approach to Eringen's nonlocal integral model in a finite body
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Publication:1798615
DOI10.1007/s00707-018-2180-9zbMath1398.74194OpenAlexW2808175836WikidataQ129693204 ScholiaQ129693204MaRDI QIDQ1798615
C. Chr. Koutsoumaris, K. G. Eptaimeros
Publication date: 23 October 2018
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-018-2180-9
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Micromechanics of solids (74M25) Elastic materials (74B99)
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Cites Work
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- On the capability of generalized continuum theories to capture dispersion characteristics at the atomic scale
- Plane stress problems in nonlocal elasticity: finite element solutions with a strain-difference-based formulation
- Nonlocal continuum mechanics based on distributions
- Nonlocal theories for bending, buckling and vibration of beams
- Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes
- Uniqueness of initial-boundary value problems in nonlocal elasticity
- Nonlocal integral elasticity: 2D finite element based solutions
- Theory of nonlocal thermoelasticity
- A symmetric nonlocal damage theory.
- Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
- Bending of Euler-Bernoulli beams using Eringen's integral formulation: a paradox resolved
- Buckling analysis of Euler-Bernoulli beams using Eringen's two-phase nonlocal model
- Prediction of the nonlocal scaling parameter for graphene sheet
- Closed form solution for a nonlocal elastic bar in tension.
- On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
- A unified theory of thermomechanical materials
- Elasticity theory of materials with long range cohesive forces
- Nonlocal continuum mechanics
- Linear theory of nonlocal elasticity and dispersion of plane waves
- On nonlocal fluid mechanics
- On nonlocal elasticity
- On nonlocal microfluid mechanics
- On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach
- Nonlocal Continuum Field Theories
- Exact solutions for the bending of Timoshenko beams using Eringen’s two-phase nonlocal model
- Theory of nonlocal piezoelectricity
- The Numerical Solution of Integral Equations of the Second Kind
- Theory of nonlocal electromagnetic elastic solids
- Linear integral equations
- Nonlocal elasticity and related variational principles