Static and dynamic response of graphene nanocomposite plates with flexoelectric effect

Shingare, K.B.; Kundalwal, S. I.

doi:10.1016/j.mechmat.2019.04.006

Cited by 51 publications

(13 citation statements)

References 84 publications

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“…Contrary to the piezoelectricity, flexoelectricity exits only in all dielectric materials. In addition to this, for the active control of lightweight smart structures subjected to static/dynamic loading conditions, these piezoelectric structures with flexoelectric effect plays significant role [6][7][8][9][10]. For instance, the most common and extensively used monolithic piezoelectric materials are lead zirconate titanate (PZT) and polyvinylidene fluoride (PVDF).…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution for Static and Dynamic Analysis of Graphene-Based Hybrid Flexoelectric Nanostructures

Shingare

Naskar

2021

J. Compos. Sci.

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Owing to their applications in devices such as in electromechanical sensors, actuators and nanogenerators, the consideration of size-dependent properties in the electromechanical response of composites is of great importance. In this study, a closed-form solution based on the linear piezoelectricity, Kirchhoff’s plate theory and Navier’s solution was developed, to envisage the electromechanical behaviors of hybrid graphene-reinforced piezoelectric composite (GRPC) plates, considering the flexoelectric effect. The governing equations and respective boundary conditions were obtained, using Hamilton’s variational principle for achieving static deflection and resonant frequency. Moreover, the different parameters considering aspect ratio, thickness of plate, different loadings (inline, point, uniformly distributed load (UDL), uniformly varying load (UVL)), the combination of different volume fraction of graphene and piezoelectric lead zirconate titanate are considered to attain the desired bending deflection and frequency response of GRPC. Different mode shapes and flexoelectric coefficients are also considered and the results reveal that the proper addition of graphene percentage and flexoelectric effect on the static and dynamic responses of GRPC plate is substantial. The obtained results expose that the flexoelectric effect on the piezoelastic response of the bending of nanocomposite plates are worth paying attention to, in order to develop a nanoelectromechanical system (NEMS). Our fundamental study sheds the possibility of evolving lightweight and high-performance NEMS applications over the existing piezoelectric materials.

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Section: Introductionmentioning

confidence: 99%

Analytical Solution for Static and Dynamic Analysis of Graphene-Based Hybrid Flexoelectric Nanostructures

Shingare

Naskar

2021

J. Compos. Sci.

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“…In the MOM approach, isofield conditions and rule of mixtures (ROM) are applied to obtain expressions for the stress and strain vector of the composite material in terms of the stress and strain vector of the constituent phases (Hyer & White, 2009;Smith & Auld, 1991); afterwards, the effective elastic coefficient matrix can be achieved. Shingare & Kundalwal (2019) used MOM in conjunction with Kirchhoff's plate theory, Navier's solution and extended linear piezoelectricity theory to study the electromechanical behavior of graphene reinforced nano-composite (GRNC) plates with flexoelectric effect. In a similar fashion, a MOM model was developed (Shingare et al, 2020) to predict the effective properties of GRNC plates subjected to electromechanical loading, obtaining similar results regarding Finite Element Method (FEM) simulations when load is applied along the longitudinal direction.…”

Section: 𝛽 = 4𝐺mentioning

confidence: 99%

Mori-Tanaka-based statistical methodology to compute the effective Young modulus of polymer matrix nano-composites considering the experimental quantification of nanotubes dispersion and alignment degree

Patiño¹,

Isaza²

2022

10.5267/j.esm

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This paper presents a Mori-Tanaka-based statistical methodology to predict the effective Young modulus of carbon nanotubes (CNTs)-reinforced composites considering three variables: weight content, reinforcement dispersion and orientation. Last two variables are quantified by two parameters, namely, free-path distance between nano-reinforcements and orientation angle regarding the loading direction. To validate the present methodology, samples of multi-walled CNTs (MWCNTs)-reinforced polyvinyl alcohol (PVA)-matrix composite were manufactured by mixing solution. The MWCNT/PVA Young modulus was measured by nano-indentation, while the MWCNTs Young modulus was quantified by micro-Raman spectroscopy. Both stretched and unstretched composite specimens were fabricated. Transmission electron microscopy (TEM) and in-plane image analysis were used to obtain fitting coefficients of log-normal frequency distribution functions for the free-path distance and orientation angle. It was evidenced that numerical results fit well to measured values of effective Young modulus of MWCNTs and MWCNT/PVA, with exception of some particular cases where significant differences were found. Microstructural heterogeneities, cluster formation, polymer chains alignment, errors associated with the dispersion, orientation and mechanical characterization procedures, as well as idealization and statistical errors, were identified as possible causes of these differences. Finally, using the proposed methodology and the dispersion and orientation distribution functions experimentally obtained, the effective Young modulus is estimated for three kinds of thermoplastic matrices (polyvinyl alcohol, polyethylene ketone, and ultra-high molecular weight polyethylene) with different kinds of nanotubes (single wall, double wall, and multi-walled), at different weight contents, finding the superior mechanical performance for double-walled CNTs-reinforced composites and the lower one for multi-walled CNTs-reinforced ones.

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“…Recently, three such models have been proposed for MEE Timoshenko homogeneous beams [39] and MEE homogeneous plates [42,43] based on the extended modified couple stress theory. However, to the best of our knowledge, the extended modified couple stress theory is not applicable to MEE-FGM microbeams, which are inhomogeneous and might be helpful for smart devices miniaturization [44][45][46][47][48]. This motivated the present work.…”

Section: Introductionmentioning

confidence: 95%

On the Bending and Vibration Analysis of Functionally Graded Magneto-Electro-Elastic Timoshenko Microbeams

et al. 2021

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In this paper, a new magneto-electro-elastic functionally graded Timoshenko microbeam model is developed by using the variational formulation. The new model incorporates the extended modified couple stress theory in order to describe the microstructure effect. The power-law variation through the thickness direction of the two-phase microbeams is considered. By the direct application of the derived general formulation, the static bending and free vibration behavior of the newly developed functionally graded material microbeams are analytically determined. Parametric studies qualitatively demonstrate the microstructural effect as well as the magneto-electro-elastic multi-field coupling effect. The proposed model and its classic counterpart produce significant differences for thin graded magneto-electro-elastic Timoshenko microbeams. The thinner the microbeam is, the larger the difference becomes.

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Static and dynamic response of graphene nanocomposite plates with flexoelectric effect

Cited by 51 publications

References 84 publications

Analytical Solution for Static and Dynamic Analysis of Graphene-Based Hybrid Flexoelectric Nanostructures

Analytical Solution for Static and Dynamic Analysis of Graphene-Based Hybrid Flexoelectric Nanostructures

Mori-Tanaka-based statistical methodology to compute the effective Young modulus of polymer matrix nano-composites considering the experimental quantification of nanotubes dispersion and alignment degree

On the Bending and Vibration Analysis of Functionally Graded Magneto-Electro-Elastic Timoshenko Microbeams

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