The multi-physic cell-based smoothed finite element method for dynamic characterization of magneto-electro-elastic structures under thermal conditions

Zhou, Liming; Li, Ming; Cai, Yan; Zhao, Hongwei; Zhao, Erfei

doi:10.1016/j.compstruct.2020.112045

Cited by 20 publications

(8 citation statements)

References 70 publications

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“…A centered penny-shaped impermeable crack in the magneto-electro-elastic medium is shown in Figure 2. Impermeable cracks face boundary conditions and the material properties of BaTi O 3 − CoF e 2 O 4 with volume fraction v f = 0 . 5 given in Table 1 (Bui and Zhang, 2013; Feng et al, 2011; Zhou et al, 2020) have been used throughout the study.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…A centered penny-shaped impermeable crack in the magnetoelectro-elastic medium is shown in Figure 2. Impermeable cracks face boundary conditions and the material properties of BaTiO 3 À CoFe 2 O 4 with volume fraction v f = 0:5 given in Table 1 (Bui and Zhang, 2013;Feng et al, 2011;Zhou et al, 2020) have been used throughout the study. And further, the method is then used for some case study, the magneto-electro-elastic cantilever with center penny-shaped crack and having uniformly distributed load acting on the surface is analyzed.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Interaction integral approach for the Evaluation of Crack-front Singularities in a Solid Cantilever Beam under Magneto-Electro-Elastic loading using XFEM

Chadaram

Yadav

2022

Journal of Intelligent Material Systems and Structures

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In the piezoelectric energy harvesting devices, the most preferred is the cantilever beam orientation that can produce maximum deflection. Therefore, in this paper, three-dimensional fracture analysis of a cracked magneto-electro-elastic cantilever beam is studied using extended finite element methods (XFEM). The crack-front singularities like stress intensity factors (SIFs), electric displacement intensity factor (EDIF), and magnetic induction intensity factor (MIIF) are evaluated using the MEE interaction integral approach. The contour J-integral in domain form is solved with the asymptotic crack front fields as auxiliary fields using the Stroh formalism. The numerical results showed good agreement with the benchmark problem. Few case studies for the crack front singularities are presented using the proposed method. The results provided give useful guidance in the designing and manufacturing of smart devices.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Interaction integral approach for the Evaluation of Crack-front Singularities in a Solid Cantilever Beam under Magneto-Electro-Elastic loading using XFEM

Chadaram

Yadav

2022

Journal of Intelligent Material Systems and Structures

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“…Since last two decades, magneto-electro-elastic (MEE) composites have gained great importance due to their ability of transforming one form of energy to another, having simple geometry and economic design and being useful in smart or intelligent structure applications [1]. Much studies are done for examining on several properties of MEE structures and they can be summarized as follows, but not limited to [2][3][4][5][6][7][8][9][10][11][12]. The original contribution of the present paper is that magneto-electrically induced vibration control of a plate contacted with fluid is firstly studied by means of maximum principle in this paper.…”

Section: Introduction and Problem Formulationmentioning

confidence: 99%

Magneto-electrically induced vibration control of a plate contacted with fluid

Yildirim

Şi̇mşek

2022

THERM SCI

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In this paper, magneto-electrically induced vibration control of a magneto-electro-elastic plate in contact with fluid is studied by means of maximum principle. The performance index functional to be minimized at the predetermined control duration is considered as a modified kinetic energy of the magneto-electro-elastic plate and it is defined as a weighted quadratic functional of displacement and velocity and also includes as a penalty function of the control force spent in control duration. Two numerical examples are presented and results indicate that introduced control algorithm for damping the vibrations due to magneto-electric load on magneto-electro-elastic plate is very robust and effective

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“…Such models include the high-precision lumped parameter model, 26 finite element method multimode analytical model, 27 unimode cantilever enclosed frequency-varying functional model, 8 disorderly loosely-coupled resonator model, 28 nonlinear model based on Hamilton’s principle 29 and its electromechanical coupling dynamic model, 30 and shearing piezoelectric cantilever electromechanical coupling model. 31 In particular, for nonlinear processes in which different geometric features, material constructions, and damping are considered, the strain gradient theory, 32 Timoshenko model, 33,34 and Hamiltonian principle 35,36 are effective in analyzing free vibration, bending, and electric potential effects, 37,38 thermal effects, 39 humidity, 40 and multiphysics loads 41 on sandwich transducers. Further, under varying geometric features, 42 material composition, 43 and additional damping, 44 studies on the nonlinear motion processes have demonstrated the effectiveness of this method.…”

Section: Introductionmentioning

confidence: 99%

Piezoelectric generator with nonlinear structure

Wang

Liu

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part L:

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Motion in nature is usually a low-frequency vibration such as walking, running, swinging arms, and so on, but traditional piezoelectric cantilever structures are inefficient at harvesting energy from low-frequency vibrations. T in the environment. To overcome this, a novel piezoelectric generator was designed. A cantilevered bimorph with a tip mass and a pair of preloading springs were fixed on its base to form a nonlinear piezoelectric generator. The energy transmission in the structure was analyzed. The harvester was modeled as a Euler–Bernoulli beam, and the piezoelectric material was assumed to be linear. The bending vibration was calculated using the Rayleigh–Ritz procedure, and the frequency characteristics of the output voltage were analyzed under different preloading distances. It was found that changing the preloading of the spring helped reduce the natural frequency of the cantilever, which facilitated conversion of ambient low-frequency vibrations into electrical energy. Then, the characteristics of low frequency energy harvesting were investigated experimentally. The theoretical results were consistent with the experimental data; moreover, the resonance frequency, which changes with the preloading distance, reduced from 43 to 35 Hz when the preloading distance was increased from 0 to 1 mm. In this paper, an effective structure to control the resonant frequency is proposed and its motion equation stated. The structure has potential for applications in predicting the effect of preloading distance on resonance frequency.

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The multi-physic cell-based smoothed finite element method for dynamic characterization of magneto-electro-elastic structures under thermal conditions

Cited by 20 publications

References 70 publications

Interaction integral approach for the Evaluation of Crack-front Singularities in a Solid Cantilever Beam under Magneto-Electro-Elastic loading using XFEM

Interaction integral approach for the Evaluation of Crack-front Singularities in a Solid Cantilever Beam under Magneto-Electro-Elastic loading using XFEM

Magneto-electrically induced vibration control of a plate contacted with fluid

Piezoelectric generator with nonlinear structure

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