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

Leilei Chen, Juan Zhao, Haozhi Li (), Yajun Huang and Xiaohui Yuan
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Leilei Chen: College of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, China
Juan Zhao: Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian 463003, China
Haozhi Li: College of Architecture and Civil Engineering, 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

Sustainability, 2023, vol. 15, issue 4, 1-13

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.

Keywords: two-dimensional flexoelectric structure; finite element method; polynomial chaos expansion; surrogate model (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2023
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