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

Author

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  • Leilei Chen

    (College of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, China
    Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian 463003, China)

  • Juan Zhao

    (Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian 463003, China
    College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, China
    Henan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang 464000, China)

  • Haozhi Li

    (College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, China
    Henan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang 464000, China)

  • Yajun Huang

    (College of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, China)

  • Xiaohui Yuan

    (College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, China
    Henan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang 464000, China)

Abstract

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.

Suggested Citation

  • Leilei Chen & Juan Zhao & Haozhi Li & Yajun Huang & Xiaohui Yuan, 2023. "A Polynomial Chaos Expansion Method for Mechanical Properties of Flexoelectric Materials Based on the Isogeometric Finite Element Method," Sustainability, MDPI, vol. 15(4), pages 1-13, February.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:4:p:3417-:d:1067012
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    References listed on IDEAS

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    1. Dariush Khezrimotlagh & Yao Chen, 2018. "The Optimization Approach," International Series in Operations Research & Management Science, in: Decision Making and Performance Evaluation Using Data Envelopment Analysis, chapter 0, pages 107-134, Springer.
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