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Three-dimensional general magneto-electro-elastic finite element model for multiphysics nonlinear analysis of layered composites

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  • 1. School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China;
    2. Joint International Research Laboratory of Impact Dynamics and Its Engineering Applications, Xi'an 710072, China;
    3. Civil Engineering and Institute of Pioneer Semiconductor Innovation, Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan, China;
    4. School of Civil Aviation, Northwestern Polytechnical University, Xi'an 710072, China

Received date: 2022-07-16

  Revised date: 2022-10-08

  Online published: 2022-12-24

Supported by

the National Natural Science Foundation of China (Nos. 12172303 and 12111530222), the Shaanxi Key Research and Development Program for International Cooperation and Exchanges (No. 2022KWZ-23), the Fundamental Research Funds for the Central Universities (No. 5000220118), and the Center for Foreign Talent Introduction and Academic Exchange Project (No. BP0719007), and the Yushan Fellowship, the Science and Technology Council of Taiwan of China (No. NSTC 111-2811-E-A49-534)

Abstract

In this paper, by defining a general potential energy for the multiphase coupled multiferroics and applying the minimum energy principle, the coupled governing equations are derived. This system of equations is then discretized as a general three-dimensional (3D) finite element (FE) model based on the COMSOL software. After validating the formulation, it is then applied to the analysis and design of the common sandwich structure of multiferroics composites. Under the typical static loading, the effects of general lateral boundary conditions, material grading, nonlinearity, as well as polarization orientation on the composites are analyzed. For the magneto-electro-elastic (MEE) sandwich made of piezoelectric BaTiO3 and magnetostrictive CoFe2O4 with different stacking sequences, various interesting features are observed which should be very helpful for the design of high-performance multiphase composites.

Cite this article

Zheng GONG, Yinxiao ZHANG, Ernian PAN, Chao ZHANG . Three-dimensional general magneto-electro-elastic finite element model for multiphysics nonlinear analysis of layered composites[J]. Applied Mathematics and Mechanics, 2023 , 44(1) : 53 -72 . DOI: 10.1007/s10483-023-2943-8

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