Mechanical-electric-magnetic-thermal coupled enriched finite element method for magneto-electro-elastic structures

IF 1.9 4区材料科学 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY Modelling and Simulation in Materials Science and Engineering Pub Date : 2024-09-09 DOI:10.1088/1361-651x/ad747c

Liming Zhou, Pengxu Chen, Yan Gao, Jiye Wang

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Abstract

Magneto-electro-elastic (MEE) materials possess the ability to convert mechanical, electrical, and magnetic energies, playing a critical role in smart devices. To improve the accuracy and efficiency of solving the mechanical properties of MEE structures in mechanical-electrical-magnetic-thermal (MEMT) environments, an MEMT coupled multiphysics enriched finite element method (MP-EFEM) is proposed. Based on the fundamental equations and boundary conditions of MEE materials, the interpolation coverage function is introduced into the MEMT coupled finite element method (FEM) to construct higher-order approximate interpolation displacement shape functions, electric potential shape functions, and magnetic potential shape functions. Combined with the variational principle, MP-EFEM is proposed, and the governing equations of MP-EFEM are derived. Numerical examples validate the accuracy and high efficiency of MP-EFEM in solving the mechanical properties of MEE structures in MEMT environments. When compared to the MEMT coupled FEM (MEMT-FEM), the results show that this method offers higher accuracy and efficiency. Therefore, MP-EFEM can effectively analyze the mechanical properties of MEE structures under multiphysics coupling, providing a new method for the design and development of smart devices.

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磁弹性结构的机械-电气-磁-热耦合富集有限元法

磁电弹性（MEE）材料具有转换机械能、电能和磁能的能力，在智能设备中发挥着至关重要的作用。为了提高在机电磁热（MEMT）环境中求解 MEE 结构力学特性的精度和效率，提出了一种 MEMT 耦合多物理场增强有限元法（MP-EFEM）。基于 MEE 材料的基本方程和边界条件，在 MEMT 耦合有限元法（FEM）中引入插值覆盖函数，构造高阶近似插值位移形状函数、电势形状函数和磁势形状函数。结合变分原理，提出了 MP-EFEM，并导出了 MP-EFEM 的支配方程。数值实例验证了 MP-EFEM 在求解 MEMT 环境中 MEE 结构的力学性能时的准确性和高效性。与 MEMT 耦合有限元（MEMT-FEM）相比，结果表明该方法具有更高的精度和效率。因此，MP-EFEM 能有效分析多物理场耦合下 MEE 结构的力学性能，为智能设备的设计和开发提供了一种新方法。

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来源期刊

Modelling and Simulation in Materials Science and Engineering 工程技术-材料科学：综合

CiteScore

3.30

自引率

5.60%

发文量

审稿时长

1.7 months

期刊介绍： Serving the multidisciplinary materials community, the journal aims to publish new research work that advances the understanding and prediction of material behaviour at scales from atomistic to macroscopic through modelling and simulation. Subject coverage: Modelling and/or simulation across materials science that emphasizes fundamental materials issues advancing the understanding and prediction of material behaviour. Interdisciplinary research that tackles challenging and complex materials problems where the governing phenomena may span different scales of materials behaviour, with an emphasis on the development of quantitative approaches to explain and predict experimental observations. Material processing that advances the fundamental materials science and engineering underpinning the connection between processing and properties. Covering all classes of materials, and mechanical, microstructural, electronic, chemical, biological, and optical properties.