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Stress-driven versus strain-driven nonlocal integral model for elastic nano-beams

Composites Part B: Engineering, 2017
Abstract In the strain-driven model of nonlocal elasticity proposed by Eringen , the elastic strain is defined by a Fredholm integral equation in which the stress is the output of a convolution between the local response to an elastic strain and a smoothing kernel dependent on a nonlocal parameter.
Romano, Giovanni, BARRETTA, RAFFAELE
openaire   +2 more sources

Local–nonlocal integral theories of elasticity with discontinuity for longitudinal vibration analysis of cracked rods

Acta Mechanica
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pei Zhang, Peter Schiavone, Hai Qing
openaire   +1 more source

Nano-scaled plate free vibration analysis by nonlocal integral elasticity theory

2018
In the current study, a finite element method is developed using the principle of total potential energy based on nonlocal integral elasticity theory to investigate the free vibration behavior of nano-scaled plates. The classical plate theory is considered for deriving the formulations of the plate.
Ovesy, Hamidreza, Naghinejad, Maysam
openaire   +1 more source

A multimesh finite element method for integral nonlocal elasticity using mesh-decoupling technique

International Journal of Mechanical Sciences
Fabio Semperlotti, Wei Ding
exaly   +2 more sources

Finite element analysis of nano-scale Timoshenko beams using the integral model of nonlocal elasticity

Physica E: Low-dimensional Systems and Nanostructures, 2017
Abstract Stress-strain relation in Eringen's nonlocal elasticity theory was originally formulated within the framework of an integral model. Due to difficulty of working with that integral model, the differential model of nonlocal constitutive equation is widely used for nanostructures. However, paradoxical results may be obtained by the differential
A. Norouzzadeh, R. Ansari
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Rayleigh Waves: Do They Exist as an Exact Solution of Eringen’s Nonlocal Elasticity Theory in Its Integral Formulation?

Journal of Elasticity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Energy distribution of plane waves in functionally graded nonlocal integral thermo-electro-elastic nanoplates in liquid

Mechanics of Advanced Materials and Structures, 2023
Xianhui Wang   +4 more
openaire   +1 more source

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