Nonlocal Mechanical Behavior of Layered Nanobeams

Barretta, Raffaele; Čanađija, Marko; Sciarra, Francesco Marotti de

doi:10.3390/sym12050717

Cited by 8 publications

(4 citation statements)

References 50 publications

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“…The identification of the shear modulus for the material of the second type (see relations (10)) according to the results of dynamic tests is implemented by minimizing the error function in the form of the total square deviation between the calculated and experimentally measured [22][23][24][25][26] Eigen frequency values:…”

Section: Identification Of Mr Layer Modulesmentioning

confidence: 99%

Identification of Magnetorheological Layer Properties by Using Refined Plate Theory

et al. 2021

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In this paper, the dynamic characteristics of sandwich plates with external rigid layers and an upper layer with magnetorheological properties (MR) are investigated. An analysis of the effect of the magnetic field on frequency and loss factor is presented. Vibration can be controlled by a magnetic-rheological viscoelastomer (MRVE), when used in sandwich plates. During vibration, MRVE exhibits an inhomogeneous complex module, which is controlled by an applied magnetic field and depends on the oscillation frequency. Using the dynamic equilibrium conditions, physical and kinematic relationships, and the partial differential equations for the conjugate transverse and longitudinal oscillations of a sandwich plate, are derived. This paper presents a new method for stress analysis that provides accurate stress distributions for multilayer plates subject to cylindrical bending. It uses an adaptive method that does not make strict assumptions about the plate model. Based on the depicted theoretical model, the deformations of each layer of the plate are accounted for, including both transverse shear deformations and transverse normal deformations where the thickness is concerned, and nonlinear displacement changes. The magnetorheological (MR) identification of an inner layer is carried out using refined plate theory and sandwich bending tests. Using combined methods, the possibility of determining the MRVE parameters robustly, is examined.

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Section: Identification Of Mr Layer Modulesmentioning

confidence: 99%

Identification of Magnetorheological Layer Properties by Using Refined Plate Theory

et al. 2021

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“…Furthermore, available classical structural models (e.g. bar, beam, shell, and plate models) are inadequate to characterize the structural response at nanoscale since the material small-scale effect and the size dependency inherent to nano-sized structures are not considered [5][6][7][8][9][10][11][12][13]. Therefore, a rational mathematical model capable of representing the material smallscale effect and the size dependency is deemed necessary and is the main emphasis of the present study.…”

Section: Introductionmentioning

confidence: 99%

Bending, Buckling and Free Vibration Analyses of Nanobeam-Substrate Medium Systems

et al. 2022

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This study presents a newly developed size-dependent beam-substrate medium model for bending, buckling, and free-vibration analyses of nanobeams resting on elastic substrate media. The Euler-Bernoulli beam theory describes the beam-section kinematics and the Winkler-foundation model represents interaction between the beam and its underlying substrate medium. The reformulated strain-gradient elasticity theory possessing three non-classical material constants is employed to address the beam-bulk material small-scale effect. The first and second constants is associated with the strain-gradient and couple-stress effects, respectively while the third constant is related to the velocity-gradient effect. The Gurtin-Murdoch surface elasticity theory is adopted to account for the surface-free energy. To obtain the system governing equation as well as corresponding boundary conditions, Hamilton’s principle is called for. Three numerical simulations are presented to characterize the influences of the material small-scale effect, the surface-energy effect, and the surrounding substrate medium on bending, buckling, and free vibration responses of nanobeam-substrate medium systems. The first simulation focuses on the bending response and shows the ability of the proposed model to eliminate the paradoxical characteristic inherent to nanobeam models proposed in the literature. The second and third simulations perform the sensitivity investigation of the system parameters on the buckling load and the natural frequency, respectively. All analytical results reveal that both material small-scale and surface-energy effects consistently stiffen the system response while the velocity-gradient effect weakens the system response. Furthermore, these sized-scale effects are more pronounced when the underlying substrate medium becomes softer.

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“…Previous results [49] are now extended to account for initially present axial loading in the case of free vibrations of nonlocal nanobeams/nanotubes. Note that temperature effects can give rise to axial loading [51][52][53][54] as well, thus the model developed in the present research includes temperature variations along the length of the nanobeam.…”

Section: Introductionmentioning

confidence: 99%

Dynamic behavior of nanobeams under axial loads: Integral elasticity modeling and size‐dependent eigenfrequencies assessment

Barretta

Čanađija

Sciarra

et al. 2021

Math Methods in App Sciences

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In this article, eigenfrequencies of nano-beams under axial loads are assessed by making recourse to the well-posed stress-driven nonlocal model (SDM) and strain-driven two-phase local/nonlocal formulation (NstrainG) of elasticity and Bernoulli-Euler kinematics. The developed nonlocal methodology is applicable to a wide variety of nano-engineered materials, such as carbon nanotubes, and modern small-scale beam-like devices of nanotechnological interest. Eigenfrequencies calculated using SDM, are compared with NstrainG and other pertinent results in literature obtained by other nonlocal strategies. Influence of nonlocal thermoelastic effects and initial axial force (tension and compression) on dynamic responses are analyzed and discussed. Model hardening size effects from stress-driven approach is compared to model softening size effects from strain-driven two-phase local/nonlocal approach for increasing nonlocal parameters.

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Nonlocal Mechanical Behavior of Layered Nanobeams

Cited by 8 publications

References 50 publications

Identification of Magnetorheological Layer Properties by Using Refined Plate Theory

Identification of Magnetorheological Layer Properties by Using Refined Plate Theory

Bending, Buckling and Free Vibration Analyses of Nanobeam-Substrate Medium Systems

Dynamic behavior of nanobeams under axial loads: Integral elasticity modeling and size‐dependent eigenfrequencies assessment

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