Domain-switching embedded nonlinear electromechanical finite element method for ferroelectric ceramics

Liu, Bin; Fang, Daining

doi:10.1007/s11433-011-4288-y

Cited by 4 publications

(4 citation statements)

References 45 publications

(51 reference statements)

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“…where = 42 is the number of electric domains at each material point. In deriving (27), the Reuss assumption is adopted so that the stress and the electric field are the same for all domains at each material point.…”

Section: Determine Magnetic Domain Distribution From Magnetomechanical Fieldmentioning

confidence: 99%

“…For the ferroelectric material, the nonlinearity originates from domain switching under electric field and stresses. In our FEM, this ferroelectric behavior is modeled using a FEM developed by Liu et al [27,29] which reveals the fully coupled behaviors of electromechanical field and electric domainswitching, and the computation is quite efficient.…”

Section: Introductionmentioning

confidence: 99%

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A Nonlinear Finite Element Method for Magnetoelectric Composite and the Study on the Influence of Interfacial Bonding

Wang

Liu

Fang

2013

Mathematical Problems in Engineering

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Magnetoelectric composite material is effective in transferring magnetic field into electric signal. In this paper, a nonlinear finite element method is present to model the magnetoelectric composite of ferroelectric and magnetostrictive material. In the method, the nonlinear and coupling behavior of magnetostrictive material such as Terfenol-D is considered. The nonuniform magnetic, electric, and mechanical field distributions are present. An interfacial transferring coefficient is defined to investigate the performance of interfacial mechanical coupling quantitatively, and the influence of the properties of interfacial bonding material and interfacial cracks on magnetoelectric coefficient is discussed. A new laminate ME composite of curved interface is proposed to overcome weak interfacial bonding.

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Section: Determine Magnetic Domain Distribution From Magnetomechanical Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Nonlinear Finite Element Method for Magnetoelectric Composite and the Study on the Influence of Interfacial Bonding

Wang

Liu

Fang

2013

Mathematical Problems in Engineering

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“…Considering the symmetries of structure geometry and sensors placement, FEM simulations are performed to acquire the response Lamb wave signals of only A1-S1 sensing path. The PZT sensor is modeled by an electromechanical coupling plate element, and the positive and negative piezo-conductive effects of actuators and sensors can be realized [ 41 ]. In order to simulate the uncertainty of the actual crack morphology, fatigue crack is modeled with a notch of 0.05 mm width, different length, and different orientations.…”

Section: Experimental Validationmentioning

confidence: 99%

FEM Simulation-Based Adversarial Domain Adaptation for Fatigue Crack Detection Using Lamb Wave

Wang

Liu²,

Zhang

et al. 2023

Sensors

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Lamb wave-based damage detection technology shows great potential for structural integrity assessment. However, conventional damage features based damage detection methods and data-driven intelligent damage detection methods highly rely on expert knowledge and sufficient labeled data for training, for which collecting is usually expensive and time-consuming. Therefore, this paper proposes an automated fatigue crack detection method using Lamb wave based on finite element method (FEM) and adversarial domain adaptation. FEM-simulation was used to obtain simulated response signals under various conditions to solve the problem of the insufficient labeled data in practice. Due to the distribution discrepancy between simulated signals and experimental signals, the detection performance of classifier just trained with simulated signals will drop sharply on the experimental signals. Then, Domain-adversarial neural network (DANN) with maximum mean discrepancy (MMD) was used to achieve discriminative and domain-invariant feature extraction between simulation source domain and experiment target domain, and the unlabeled experimental signals samples will be accurately classified. The proposed method is validated by fatigue tests on center-hole metal specimens. The results show that the proposed method presents superior detection ability compared to other methods and can be used as an effective tool for cross-domain damage detection.

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“…For the material behavior investigations, the development of the domain-switching embedded nonlinear electromechanical finite element method is carried out to study the ferroelectric ceramics [17]. Some researchers are focused on developing the plane hybrid stress-function element method for anisotropic materials, which is one of the shape-free …”

Section: Materials Behavior and Constitutive Investigationsmentioning

confidence: 99%

Recent research progress in computational solid mechanics

Zhuang

Maitireyimu

2012

Chin. Sci. Bull.

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Computational mechanics has had a profound impact on science and technology over the past five decades. It has numerically transformed much of the classical theory models into practical tools for predicting and understanding the complex engineering and science system. A short review is given in this paper on some recent progress in computational solid mechanics at multi-scales.computational solid mechanics, extended finite element method, molecule dynamic, multi-scales Citation:Zhuang Z, Maitireyium M. Recent research progress in computational solid mechanics. Chin Sci Bull, 2012Bull, , 57: 46834688, doi: 10.1007 Computational mechanics has had a profound impact on science and technology over the past five decades. It has numerically transformed much of the classical Newtonian theory into practical tools for predicting and understanding the complex engineering and science system, which have some limitations using the classic analytical solutions. Finite element methodology (FEM), which is one of the most powerful computation tools, has been widely used in the simulation-based engineering and science. There are a number of methods based on FEM dealing with the problem of material behaviors and structural mechanics, for example, damage and fracture. Since the limitation of FEM is in the continuum problem ranging from micro-meter to macro scales, the molecule dynamic (MD) computation is used at nano-scale research. A short review is given in this paper on the recent progress in computational solid mechanics related to length scales. MD simulation at nano-scaleThe carbon nano-tube (CNT) as a representative nano-scale material was invented twenty years ago. Its material behavior and mechanics has been interested by many researchers and engineers. The investigations were carried out from the aspects of theory, experiment and simulation. Since it is discrete at atomic length, the MD method is the best tool in the numerical analysis. Another purpose using MD simulation is to provide the failure criterion for dislocation initiation in the crystals, which can link the scales from nano-meter to micron. The minimum energy principle for the dislocation nucleation or initiation was predicted for inhomogeneous atomic system [1]. The simulation results illustrated that the thin film is easily nucleated on the surface because the atomic bonds lose. Based on MD simulation at nano-size and theoretical analysis, an investigation of the combined size and rate effects on the mechanical responses of faced cubic crystal (FCC) metals has been made to develop a hyper-surface (Figure 1) crossing the length scales [2]. The high strength and hard toughness properties of crystalline solid were intensively investigated at sub-micron and nanoscales. In these scales, the forms of defects in a crystal material are dislocation and grain boundary. A majority of research papers were focused on the dislocation nucleation and the interactions between dislocation and grain boundary [3]. The yield strength of perfect crystal depends on dislocation nu...

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Domain-switching embedded nonlinear electromechanical finite element method for ferroelectric ceramics

Cited by 4 publications

References 45 publications

A Nonlinear Finite Element Method for Magnetoelectric Composite and the Study on the Influence of Interfacial Bonding

A Nonlinear Finite Element Method for Magnetoelectric Composite and the Study on the Influence of Interfacial Bonding

FEM Simulation-Based Adversarial Domain Adaptation for Fatigue Crack Detection Using Lamb Wave

Recent research progress in computational solid mechanics

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