Flexoelectric control of beams with atomic force microscope probe excitation

Zhang, X.F.; Yu, Weiping; Fu, Jiahong; Tzou, H. S.

doi:10.1177/0954406220907938

Cited by 5 publications

(2 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, flexoelectric materials are used as micro-transducers in MEMS and NEMS applications [5,6]. Specifically, they have been explored in applications like micro-actuators [7,8], structural health monitoring [9], vibration control [10], curvature sensors [11], and energy harvesting [12][13][14], to name a few.…”

Section: Introductionmentioning

confidence: 99%

A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects

Joshan

Santapuri

2022

Z. Angew. Math. Phys.

View full text Add to dashboard Cite

This work presents the development of a unified gradient electromechanical theory for thin flexoelectric beams considering both direct and converse flexoelectric effects. The two-way coupled electromechanical theory is developed starting from 3D variational formulation by considering an electric field-strain based free energy function. The formulation incorporates mechanical as well as electrical size effects. The coupled 3D theory is specialized to isotropic materials and a 1D beam theory for composite flexoelectric curved beams is derived using the classical Kirchhoff assumptions. The beam theory is solved using a novel C 2 continuous finite element framework for different loading and boundary conditions. Our finite element results are verified with analytical solutions for a simply-supported flexoelectric beam operating in both actuator and sensor modes. The results are also compared with existing literature for the special case of a passive micro-beam. Our computational framework is subsequently used to perform various parametric studies to analyze the effect of electrical and mechanical length scale parameters, geometric parameters like the radius of curvature, flexoelectric layer thickness etc., on the response of the beam. Also, contribution of converse flexoelectricity in the overall response of the flexoelectric beam is compared with that of the direct effect. Our simulation results predict that the converse effect is significant (≈ 10-25% of the direct effect) for a wide range of thickness and length scale parameter values. It is also observed that the effective electromechanical coupling coefficient, calculated in terms of the voltage developed across the flexoelectric layer thickness, is higher in flexoelectric materials compared to piezoelectric materials at smaller length scales (thickness of the order of a few microns). Our simulation results also agree well with the trends observed in recent experimental work [1].

show abstract

Section: Introductionmentioning

confidence: 99%

A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects

Joshan

Santapuri

2022

Z. Angew. Math. Phys.

View full text Add to dashboard Cite

show abstract

“…Electric field/polarization gradients may arise from non-uniformity of the polarization or electric field. Zhang et al employed an atomic force microscope probe to generate an inhomogeneous electric field and successfully controlled the dynamic vibration of a cantilever beam with a flexoelectric actuator [15]. Fan et al [16,17] studied the active actuating and vibration control of beams and plates with multiple flexoelectric actuators.…”

Section: Introductionmentioning

confidence: 99%

Active Actuating of a Simply Supported Beam with the Flexoelectric Effect

Fan

Min

2020

Materials

View full text Add to dashboard Cite

Piezoelectric materials with the electro-mechanical coupling effect have been widely utilized in sensors, dampers, actuators, and so on. Engineering structures with piezoelectric actuators and sensors have provided great improvement in terms of vibration and noise reduction. The flexoelectric effect—which describes the coupling effect between the polarization gradient and strain, and between the strain gradient and electric polarization in solids—has a fourth-rank order tensor electro-mechanical coupling coefficient, and in principle makes the flexoelectricity existing in all insulating materials and promises an even wider application potential in vibration and noise control. In the presented work, a flexoelectric actuator was designed to actuate a simply supported beam. The electric field gradient was generated by an atomic force microscopy probe. Flexoelectric control force and moment components could be induced within the flexoelectric control layer. As flexoelectricity is size-dependent, the key parameters that could affect the actuating effect were examined in case studies. Analytical results showed that the induced flexoelectric control moment was strongly concentrated at the probe location. The controllable transverse displacement of the simply supported beam was calculated with the modal expansion method. It was found that the controllable transverse displacement was dependent on the probe location as well.

show abstract

Finite element modeling and analysis of flexoelectric plates using gradient electromechanical theory

Joshan,

Santapuri

2023

Continuum Mech. Thermodyn.

View full text Add to dashboard Cite

Flexoelectric control of beams with atomic force microscope probe excitation

Cited by 5 publications

References 38 publications

A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects

A gradient electromechanical theory for thin dielectric curved beams considering direct and converse flexoelectric effects

Active Actuating of a Simply Supported Beam with the Flexoelectric Effect

Finite element modeling and analysis of flexoelectric plates using gradient electromechanical theory

Contact Info

Product

Resources

About