Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method

Li, Haozhi; Zhao, Juan; Guo, Xiaokun; Yu, Chongxiu; Xu, Yong; Yuan, Xiaohui

doi:10.3389/fphy.2022.1111159

Cited by 3 publications

(2 citation statements)

References 34 publications

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“…The polynomial chaos expansion method has the advantages of constructing surrogate models with high accuracy, computing system responses efficiently, and handling systems with cross-terms effectively. It has been widely used in different engineering fields, such as heat conduction [32], structural mechanics [33,34], fluid mechanics [35], environmental and acoustic fields [36,37], electrical properties of nanomaterials [38], flexoelectric materials [39], and stochastic difference equations [40].…”

Section: Introductionmentioning

confidence: 99%

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

Yuan

Huang

et al. 2023

Front. Phys.

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An efficient method of moments (MoM) based on polynomial chaos expansion (PCE) is applied to quickly calculate the electromagnetic scattering problems. The triangle basic functions are used to discretize the surface integral equations. The polynomial chaos expansion is utilized to accelerate the MoM by constructing a surrogate model for univariate and bivariate analysis. The mathematical expressions of the surrogate model for the radar cross-section (RCS) are established by considering uncertain parameters such as bistatic angle, incident frequency, and dielectric constant. By using the example of a scattering cylinder with analytical solution, it is verified that the MoM accelerated by PCE presents a considerable advantage in computational expense and speed.

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Section: Introductionmentioning

confidence: 99%

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

Yuan

Huang

et al. 2023

Front. Phys.

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“…Numerous areas are affected practically by wave propagation in an unlimited domain [1][2][3][4][5][6][7][8]. Although a lot of efforts have been put into modeling this issue, it focuses on deterministic systems.…”

Section: Introductionmentioning

confidence: 99%

A generalized isogeometric boundary element method for the uncertain analysis of infinite domain two-dimensional acoustic problems

Yang,

Huo,

Yuan

et al. 2023

Front. Phys.

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The key aim of this paper is to provide a new nth generalized order perturbed isogeometric fast multistage technique of boundary elements to compute the propagation of time harmonics in an infinite region. Structural geometry and boundary integral equations are constructed by using non-uniform rational B-splines. The source of system uncertainty is believed to be the incident plane wave number’s unpredictability. The actual field, depending on the input random variables, is simulated using the extended nth-order perturbation method. The field and kernel values for boundary integral formulas are generated via the nth-order generalized series of Taylor expansions using perturbation parameters. The fast multipole method (FMM) is utilized to speed up the process. The effectiveness and correctness of the proposed algorithm are verified by Monte Carlo simulations (MCs) with numerical examples.

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A Polynomial Chaos Expansion Method for Mechanical Properties of Flexoelectric Materials Based on the Isogeometric Finite Element Method

Chen

Zhao

et al. 2023

Sustainability

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The paper proposes a method for analyzing the mechanical properties of flexoelectric materials based on the isogeometric finite element method (IGA-FEM) and polynomial chaos expansion (PCE). The method discretizes the flexoelectric governing equations utilizing the B-spline shape functions that satisfy the continuity requirement to obtain the mechanical properties (electric potential) of the material. To obtain a mechanical property with different input parameters, we choose the truncated pyramid model as the object of study, and use IGA-FEM and PCE to solve different single uncertain parameters, including independent Young’s modulus and uniformly distributed force, and two kinds of flexoelectric constants, respectively. Numerical examples are presented to bear out the accuracy and viability of the proposed methodology.

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Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method

Cited by 3 publications

References 34 publications

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

A generalized isogeometric boundary element method for the uncertain analysis of infinite domain two-dimensional acoustic problems

A Polynomial Chaos Expansion Method for Mechanical Properties of Flexoelectric Materials Based on the Isogeometric Finite Element Method

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