Multi-fields in multiferroic materials induced by eigenfields and remote loads

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal of Engineering Science Pub Date : 2024-02-01 DOI:10.1016/j.ijengsci.2024.104028
Xiaochang Liu , Wei Ye
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Abstract

This work presents the analytical solution to the multi-fields in the whole domain of 3D multiferroic materials with an ellipsoidal inclusion/inhomogeneity induced by eigenfields and remote loads. It is a unified approach for the fully-coupled analysis of single-phase multiferroic materials and multiferroic composite materials, which are verified by comparing with available results in the literature and finite element analysis. It is found that, inside the inclusion, the magnetic field due to the spontaneous polarization and the electric field due to the spontaneous magnetization increase monotonically with the aspect ratio of the inclusion for single-phase multiferroic materials, but they first increase and then decrease with the aspect ratio of the inclusion for multiferroic composite materials with much larger maximum magnitudes. Moreover, in the matrix of the piezoelectric-piezomagnetic heterostructure, some components of the multi-fields change dramatically with the aspect ratio of the inhomogeneity, but other components vary insignificantly. Furthermore, although the generalized strain field is usually not uniform in the matrix, the uniformity condition could be still achieved by tuning the eigenfields and remote loads even regardless of the specific shape of the ellipsoidal inhomogeneity. These results could be helpful for the design of multiferroic materials.

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特征场和远程负载诱发多铁氧体材料中的多重场
本研究提出了由特征场和远程载荷诱导的具有椭圆形内含物/非均质性的三维多铁素体材料全域多场的分析解法。这是对单相多铁素体材料和多铁素体复合材料进行全耦合分析的统一方法,并通过与现有文献和有限元分析结果的比较进行了验证。研究发现,对于单相多铁氧体材料,在包体内部,自发极化产生的磁场和自发磁化产生的电场随包体的长宽比单调增大,但对于多铁氧体复合材料,它们随包体的长宽比先增大后减小,且最大值更大。此外,在压电压磁异质结构的基体中,多场的某些分量会随着不均匀性的纵横比发生急剧变化,但其他分量变化不大。此外,尽管广义应变场在基体中通常并不均匀,但即使椭圆形非均质体的具体形状如何,仍可通过调整特征场和远程载荷实现均匀性条件。这些结果有助于多铁氧体材料的设计。
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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
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