Finite element modeling of mechanical behaviors of piezoelectric nanoplates with flexoelectric effects

Thai, Le Minh; Luat, Doan Trac; Phung, Van Binh; Minh, Phung Van; Thom, Do Van

doi:10.1007/s00419-021-02048-3

Cited by 58 publications

(11 citation statements)

References 24 publications

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“…Le et al used the FEM to simulate the mechanical, electric, and polarization behaviors of piezoelectric nanoplates resting on elastic foundations subjected to static loads, considering the flexoelectric effect. The numerical results showed that the flexoelectric effect significantly affected the mechanical responses of the nanoplates [ 40 ].…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Piezoelectric and Electromagnetic Broadband Harvester with Double Cantilever Beams

et al. 2023

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Vibration-energy harvesting is an effective strategy for replacing batteries and provides a long-term power supply to microelectronic devices. Harvesting vibration energy from human motions has attracted research attention in recent years. Here, a novel low-frequency hybrid piezoelectric and electromagnetic broadband harvester is proposed. Two parallel piezoelectric cantilever beams support the harvester and capture environmental vibration energy based on the piezoelectric effect. A permanent magnet is connected by springs to the two beams, and a fixed coil surrounds the moving permanent magnet, enabling energy conversion via the electromagnetic effect and the proof mass. The parameters influencing the output power of the harvester are optimized numerically to boost the harvester’s performance. The output power of the proposed hybrid harvester is compared with that of a piezoelectric harvester and an electromagnetic harvester. The simulation results show that the output power is significantly higher for the hybrid harvester than for the piezoelectric and electromagnetic harvesters, and the bandwidth is broader owing to the double cantilevers. An experiment is conducted using a prototype of the hybrid harvester to evaluate its output power. The results show multiple resonant peaks, an extended bandwidth, and a maximum power of 6.28 mW. In contrast, the maximum harvested power of the piezoelectric harvester is only 5.15 mW at 9.6 Hz.

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Section: Introductionmentioning

confidence: 99%

A Hybrid Piezoelectric and Electromagnetic Broadband Harvester with Double Cantilever Beams

et al. 2023

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“…Researchers use a variety of techniques to analyze an element or structure, such as a rod, beam, plate, frame, etc., whether at the macro, nano, or micro level. Some of these techniques are: the finite element method [ 1 , 33 , 41 , 42 , 54 , 55 ], artificial neural networks [ 56 ], the Laplace transform [ 57 ], Stokes’ transformation [ 18 , 28 , 43 , 45 ], the perturbation technique [ 5 ] and the Chebyshev–Ritz method [ 19 ]. This is the first work to investigate the longitudinal vibration behavior of short-fiber-reinforced micro-/nano-rods embedded in an elastic medium via Fourier sine series with Stokes’ transformation.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Free Vibration of Embedded Short-Fiber-Reinforced Nano-/Micro-Rods with Deformable Boundary Conditions

2022

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An efficient eigenvalue algorithm is developed for the axial vibration analysis of embedded short-fiber-reinforced micro-/nano-composite rods under arbitrary boundary conditions. In the formulation, nonlocal elasticity theory is used to capture the size effect, and the deformable boundary conditions at the ends are simulated using two elastic springs in the axial direction. In addition, to determine the reinforcing effect of restrained nano-/micro-rods, a new system of linear equations with the concept of the infinite power series is presented. After performing the mathematical processes known as Fourier sine series, Stokes’ transformation and successive integration, we finally obtain a coefficient matrix in terms of infinite series for various rigid or deformable boundary conditions. Some accurate eigenvalue solutions of the free axial vibration frequencies of the short-fiber-reinforced micro-/nano-composite rods with and without being restrained by the means of elastic springs are given to show the performance of the present method. The presence of the elastic spring boundary conditions changes the axial vibration frequencies and corresponding mode shapes.

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“…As a result, they are used in a variety of engineering fields, such as nanoelectromechanical systems, and their low mass and great sensitivity make them ideal for applications in medicine, biosensors, computers, industrial development, and other fields. Several studies have reported on nanostructure mechanical properties [ 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 ].…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates

Alghanmi

2022

Materials

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Many investigators have become interested in nanostructures due to their outstanding mechanical, chemical, and electrical properties. Two-dimensional nanoplates with higher mechanical properties compared with traditional structural applications are a common structure of nanosystems. Nanoplates have a wide range of uses in various sectors due to their unique properties. This paper focused on the static analysis of functionally graded (FG) nanoplates with porosities. The nonlocal strain gradient theory is combined with four-variable shear deformation theory to model the nanoplate. The proposed model captures both nonlocal and strain gradient impacts on FG nanoplate structures by incorporating the nonlocal and strain gradient factors into the FG plate’s elastic constants. Two different templates of porosity distributions are taken into account. The FG porous nanoplate solutions are compared with previously published ones. The impact of nonlocal and strain gradient parameters, side-to-thickness ratio, aspect ratio, and porosity parameter, are analyzed in detail numerically. This paper presents benchmark solutions for the bending analysis of FG porous nanoplates. Moreover, the current combination of the nonlocal strain gradient theory and the four-variable shear deformation theory can be adapted for various nanostructured materials such as anisotropic, laminated composites, FG carbon nanotube reinforced composites, and so on.

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Finite element modeling of mechanical behaviors of piezoelectric nanoplates with flexoelectric effects

Cited by 58 publications

References 24 publications

A Hybrid Piezoelectric and Electromagnetic Broadband Harvester with Double Cantilever Beams

A Hybrid Piezoelectric and Electromagnetic Broadband Harvester with Double Cantilever Beams

Nonlocal Free Vibration of Embedded Short-Fiber-Reinforced Nano-/Micro-Rods with Deformable Boundary Conditions

Nonlocal Strain Gradient Theory for the Bending of Functionally Graded Porous Nanoplates

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