Dynamic and instability analyses of FG graphene-reinforced sandwich deep curved nanobeams with viscoelastic core under magnetic field effect

Sobhy, Mohammed; Abazid, Mohammad Alakel

doi:10.1016/j.compositesb.2019.106966

Cited by 50 publications

(10 citation statements)

References 70 publications

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“…Upon solving the above coupled problem for u 0 and w, required displacement fields follow from decoupled equations Eqs. (45). The solution will involve ten unknown integration constants that are solved from boundary conditions Eqs.…”

Section: Solution By Substitutionmentioning

confidence: 99%

“…Nonlinear vibration in the case of sandwich beams that are graded with carbon nanotubes is researched in [42]. Free vibration of curved sandwich-FG beams, again with various patterns of carbon nanotube distribution are examined in [43], piezoelectric and electrostatic actuation of laminated microarches in [44] and influence of a viscoelastic core in [45]. As a special case, formulations developed for vibrations of curved sandwich beams can be applied to straight beams by considering a very large curvature radius [46].…”

Section: Introduction Motivation and Outlinementioning

confidence: 99%

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On thermomechanics of multilayered beams

Barretta

Čanađija

Sciarra

2020

International Journal of Engineering Science

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In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven integral formulation of elasticity. The present research extends the treatment in [1] confined to elastically homogeneous nano-scopic structures. It is shown that the non-locality leads to a complex coupling between axial and transverse elastic displacements. Such a size-dependent phenomenon makes the solution of the relevant nonlocal thermoelastostatic problem, governed by a system of two ordinary differential equations with ten standard boundary conditions and non-classical constitutive boundary conditions, significantly more involved with respect to treatments in literature. Thus, a novel solution methodology, based on Laplace transforms, is proposed and illustrated by examining simple structural schemes of current

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Section: Solution By Substitutionmentioning

confidence: 99%

Section: Introduction Motivation and Outlinementioning

confidence: 99%

On thermomechanics of multilayered beams

Barretta

Čanađija

Sciarra

2020

International Journal of Engineering Science

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“…where q G and q m indicate the densities of the GPLs and Al, respectively; a G and a m are, respectively, the thermal expansion coefficients of the GPLs and Al, and b G and b m are, respectively, the moisture expansion coefficients of the GPLs and Al. According to a modified piece-wise law, the weight fraction of graphene is varied across the thickness of the face sheets, and three cases of sandwich-curved beams (see Figure 2) can be introduced as follows [29] Case A In this case, the graphene may be uniformly dispersed through the two face sheets. Therefore, the volume fraction of ith layer can be written as…”

Section: Configuration Of Honeycomb Sandwich-curved Beamsmentioning

confidence: 99%

“…Sobhy [28] investigated the magnetoelectro-thermal bending response of graphene/polymer nanocomposite doubly curved nanoshells integrated with piezoelectromagnetic sheets under different boundary conditions. Moreover, Sobhy and Abazid [29] elucidated the vibration and buckling analyses of FG sandwich graphene-reinforced curved nanobeams with viscoelastic core resting on viscoelastic foundations subjected to an axial magnetic field and external compressions based on the nonlocal strain-gradient theory.…”

Section: Introductionmentioning

confidence: 99%

Differential quadrature method for magneto-hygrothermal bending of functionally graded graphene/Al sandwich-curved beams with honeycomb core via a new higher-order theory

Sobhy

2020

Jnl of Sandwich Structures & Materials

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Based on the differential quadrature method (DQM), the bending of sandwich-curved beams with graphene platelets/aluminum (GPLs/Al) nanocomposite face sheets and aluminum honeycomb core is investigated using a new shear and normal deformations curved beam theory. The present new model is resting on elastic foundation and subjected to a circumferential magnetic field, thermal load, and humid conditions. The face sheets are made of several bonded composite layers with randomly oriented and uniformly distributed graphene platelets in each layer. The mechanical and hygrothermal properties of the faces are assumed to be functionally graded (FG) using a piece-wise law by varying the weight fraction of the GPLs in the face thickness direction. Four governing differential equations are derived based on a novel four-variable curved beam theory taking into account the thickness stretching effect. The governing equations are solved for various boundary conditions on the basis of the DQM.

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“…This strategy, based on the differential law associated with the strain-driven nonlocal strain gradient integral model, was originally conceived by Lim et al (2015) for applications in wave propagation. In curved structures, the non-standard constitutive boundary conditions associated with the nonlocal gradient integral convolutions have been ignored (She et al, 2019a,b;Karami et al, 2019b;Sobhy and Abazid, 2019;Barati, 2018, 2017) and non-pertinent higher-order boundary conditions of strain gradient theory have been enforced. This issue has been recently addressed by Marotti de Sciarra (2018, 2019) for straight nanobeams, and advantageously exploited by Apuzzo et al (2018Apuzzo et al ( , 2019.…”

Section: Introductionmentioning

confidence: 99%

On nonlocal mechanics of curved elastic beams

Barretta

Sciarra

Vaccaro

2019

International Journal of Engineering Science

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Curved beams are basic structural components of Nano-Electro-Mechanical-Sistems (NEMS) whose design requires appropriate modelling of scale effects. In the present paper, the size-dependent static behaviour of curved elastic nano-beams is investigated by stress-driven nonlocal continuum mechanics. Axial strain and flexural curvature fields are integral convolutions between equilibrated axial force and bending moment fields and an averaging kernel. The nonlocal integral methodology formulated here is the generalization to curved structures of the treatment in [Int. J. Eng. Science 115 (2017) 14-27] confined to straight beams. The corresponding nonlocal differential problem, supplemented with non-standard boundary conditions, is highlighted and shown to lead to mathematically well-posed problems of nano-engineering. The theoretical predictions, exhibiting stiffening nonlocal behaviours, are therefore appropriate to significantly model a wide range of small-scale devices of nanotechnological interest. The nonlocal approach is exploited by analytically establishing size-dependent responses of curved elastic nano-sensors and nano-actuators that are driven by the small-scale characteristic parameter.

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Dynamic and instability analyses of FG graphene-reinforced sandwich deep curved nanobeams with viscoelastic core under magnetic field effect

Cited by 50 publications

References 70 publications

On thermomechanics of multilayered beams

On thermomechanics of multilayered beams

Differential quadrature method for magneto-hygrothermal bending of functionally graded graphene/Al sandwich-curved beams with honeycomb core via a new higher-order theory

On nonlocal mechanics of curved elastic beams

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