Electromechanical response of thin shell laminated with flexoelectric composite layer

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

doi:10.1016/j.tws.2020.107138

Cited by 13 publications

(5 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They have also carried out static and dynamic characteristic including sensitivity and frequency analysis of laminated composite and FG material by using probabilistic and non-probabilistic uncertainty quantification approach. Recently, Kundalwal and co-authors [10,[33][34][35] studied the electromechanical response of graphene-based nanocomposite (GNC) and its different structural elements, such as beam, plate, wire and shell, by incorporating piezoelectric graphene nanofiber in polyimide matrix. They predicted the overall effective properties of GNC, using analytical and numerical models.…”

Section: Introductionmentioning

confidence: 99%

“…By observing Equations ( 26)- (33), it is obvious that the flexoelectric effect has significant influence on the distribution of stress and higher-order stresses. Therefore, the higher-order stress disappears as the effect of flexoelectricity is not considered, while it does not have any influence on conservative bending moments.…”

mentioning

confidence: 99%

“…Making use of Equations ( 30)- (33) into Equation ( 21), one can find the following governing Equation (34)…”

mentioning

confidence: 99%

See 2 more Smart Citations

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

Shingare

Naskar

2021

J. Compos. Sci.

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

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

Shingare

Naskar

2021

J. Compos. Sci.

View full text Add to dashboard Cite

show abstract

“…A piezoelectric micro/nanoscale structure such as beams, plates, rods, and panels is found to be having massive capabilities for numerous applications including energy harvesters which contain sensors, actuators, parallel plate capacitors, and nanogenerators. 3–10 Nanoscale beams and rods are extensively used in several NEMS applications. Precisely from the past couple of years, piezoelectric/non-piezoelectric materials have fascinated great interest for producing energy harvesters to generate the electric response on the application of mechanical load to the structure.…”

Section: Introductionmentioning

confidence: 99%

Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod

Shingare

Naskar

2022

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

Nanoscale beams and rods are extensively used in several nano-electro-mechanical systems (NEMS) and their applications such as sensors and actuators. The surface and flexoelectricity phenomena have an extensive effect on nanosized structures and are related to their scale-dependent characteristics. This article presents the effect of different surface parameters and flexoelectricity on the electrostatic response of graphene-reinforced hybrid composite (GRHC) nanorods (NRs) using the theory of linear piezoelectricity, Euler-Bernoulli (EB), and Galerkin residual method. Based on these theories, the theoretical and finite element (FE) model is produced to investigate the static bending deflection of GRHC NRs when subjected to point and uniformly distributed load (UDL) considering different boundary conditions: cantilever (FC), fixed-fixed (FF), and simply supported (SS). This proposed FE model provides a useful tool for analyzing and investigating the outcomes of analytical models, which are found to be in good agreement. Our results presented in this article reveal that the effect of surface and flexoelectricity on the static bending response of GRHC NRs is noteworthy. These effects diminish with increased thickness/diameter of NR, and hence, these effects can be neglected for large-sized structures. The results presented here would help to identify the desired electrostatic response of GRHC NRs in terms of static bending response for a range of NEMS using different loading and boundary conditions as well as graphene volume fraction. This current study offers pathways for developing new proficient novel GRHC materials with enhanced control authority and present models can be exploited for numerous other materials as well as line-type structural systems such as beams, wires, rods, column/piers, and piles to study their global response.

show abstract

“…The pioneering contributions with respect to gradient effects are attributed to the nonlocal theory developed by Mindlin [20] who formulated a comprehensive linear model for the deformation of an elastic body based on the functional dependence of the potential energy density on both strain as well as its first and second gradients. Since then, and more systematically in recent years, a significant volume of associated works has been disseminated in the literature pertaining to various modeling aspects such as topology optimization of multimaterial flexoelectric composites [21][22][23], numerical and/or analytical determination of the effective properties of flexoelectric structures [24][25][26][27][28][29], bending and vibration analysis of flexoelectric beams [30][31][32][33], dynamic analysis and control of flexoelectric plates and shells [34][35][36][37][38], and many others. Ever since the rapid growth of the additive manufacturing industry has significantly facilitated fabrication of composites and metamaterials with arbitrary architectures, it stands to reason that the development of models that predict their behavior and properties a priori is a step in the right direction.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness

Kalamkarov

Hadjiloizi

Georgiades

2022

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

A micromechanical model for the analysis of structurally periodic flexoelectric plates with periodically varying thickness is developed on the basis of asymptotic homogenization. The period of thickness variation is small and comparable to the plate thickness; accordingly, the plate is usually referred to as having a “rapidly varying thickness.” The stipulation for rapidly varying thickness is important because it is envisioned that the developed model can be applied to a broad range of thin plates, both stratified as well as plates endowed with an arbitrary distribution of reinforcements attached to the surface or embedded within the plate. The microscopic problem is implemented in two steps pertaining, respectively, to first- and second-gradient asymptotic homogenization. Each level of homogenization culminates in its own set of unit cell problems from which the effective coefficients of the homogenized structure can eventually be obtained. These effective coefficients couple the force and moment resultants as well as the averaged electric displacement with the first and second gradients of the macroscopic displacement and electric potential. Once the effective coefficients are obtained, the macroscopic problem is invoked, which provides a set of four differential equations from which the macroscopic variables of mechanical displacement and electric potential can be obtained. The model is illustrated by means of laminated flexoelectric composites as well as simple rib-reinforced plates. It is shown that in the limiting case of a thin, purely elastic plate, the derived model converges to the familiar classical plate model.

show abstract

Electromechanical response of thin shell laminated with flexoelectric composite layer

Cited by 13 publications

References 44 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

Compound influence of surface and flexoelectric effects on static bending response of hybrid composite nanorod

Asymptotic homogenization of flexoelectric composite plates with periodically varying thickness

Contact Info

Product

Resources

About