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On integral and differential formulations in nonlocal elasticity [PDF]

open access: yesEuropean Journal of Mechanics, A/Solids, 2023
The paper is concerned with comparative analysis of differential and integral formulations for boundary value problems in nonlocal elasticity. For the sake of simplicity, the focus is on an antiplane problem for a half-space for an exponential kernel. First, a surface loading in the form of a travelling harmonic wave is studied. This provides a counter-
Julius Kaplunov, Danila Prikazchikov
exaly   +3 more sources
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Thermoelastic analysis of nanobar based on nonlocal integral elasticity and nonlocal integral heat conduction

Journal of Thermal Stresses, 2021
The thermoelastic analysis is extremely important due to the highly integrated characteristics in micro- and nano-electro-mechanical systems.
Pei Zhang, Hai Qing, Pei Zhang
exaly   +2 more sources

Nonlocal integral elasticity: 2D finite element based solutions

open access: yesInternational Journal of Solids and Structures, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aurora Angela Pisano, Alba Sofi
exaly   +4 more sources

On the carbon nanotube mass nanosensor by integral form of nonlocal elasticity

International Journal of Mechanical Sciences, 2019
Abstract In many researches, mass nanosensors have been modeled as a cantilever nanobeam in presence of nonlocal elasticity that produces paradoxical results so that the nanostructure shows hardening behavior in the first mode of vibration when the differential form of nonlocal elasticity is assumed.
Shahrokh Hosseini-Hashemi
exaly   +2 more sources

A comparative study of 1D nonlocal integral Timoshenko beam and 2D nonlocal integral elasticity theories for bending of nanoscale beams

Continuum Mechanics and Thermodynamics, 2021
In this paper, the bending behavior of nanoscale beams is studied using the 1D nonlocal integral Timoshenko beam theory (NITBT) and the 2D nonlocal integral elasticity theory (2D-NIET) using two types of nonlocal kernels, i.e., the two-phase kernel and a modified kernel which compensates the boundary effects.
Hooman Danesh   +2 more
exaly   +2 more sources

Nonlocal elasticity in nanobeams: the stress-driven integral model

International Journal of Engineering Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giovanni Romano, Raffaele Barretta
exaly   +4 more sources

Nonlocal integral static problems of nanobeams resting on an elastic foundation

European Journal of Mechanics - A/Solids, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C.Chr. Koutsoumaris, K.G. Eptaimeros
openaire   +1 more source

Stress-driven nonlocal integral elasticity for axisymmetric nano-plates

International Journal of Engineering Science, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaele Barretta   +2 more
exaly   +4 more sources

Finite Element Nonlocal Integral Elasticity Approach

2021
In the current chapter, a finite element theory has been developed based on the nonlocal integral elasticity using Hamilton’s principle. Formulations have been derived using Euler-Bernoulli beam theory and classical plate theory in order to study the bending, buckling and vibration behavior of nanostructures.
Maysam Naghinejad   +3 more
openaire   +1 more source

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