Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (7): 1511-1532.doi: https://doi.org/10.1007/s10483-026-3408-6

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Effective magneto-electro-elastic moduli of elliptical multi-coated multiferroic nanocomposites with surface effects

Tingting SA1, Yan LI2, Lihong CHANG1,(), Fanfan NAI1, Fusheng MIAO2, Wenshuai WANG2   

  1. 1.School of Mathematics and Computer Science, Ningxia Normal University, Guyuan 756000, Ningxia Hui Autonomous Region, China
    2.School of Mathematics and Statistics, Ningxia Basic Science Research Center of Mathematics, Ningxia University, Yinchuan 750021, China
  • Received:2026-02-23 Revised:2026-05-06 Published:2026-06-30
  • Contact: Lihong CHANG, E-mail: changlihong@nxnu.edu.cn
  • Supported by:
    Project supported by the Natural Science Foundation of Ningxia Hui Autonomous Region (Nos. 2026AAC030921 and 2025AAC030158)

Abstract:

Multiferroic composites hold great promise in electronic devices because of their exceptional magnetoelectric coupling effects, and multilayer core-shell nanofibers are considered as ideal carriers for achieving high-performance responses. However, existing theories often assume perfectly circular fiber cross-sections while neglecting the interfacial effects. This makes it difficult to accurately characterize the elliptical cross-sections and nanoscale interface properties commonly observed in practical fabrication. To address this issue, this study establishes a theoretical model for multilayer multiferroic nanofiber composites. The model simultaneously accounts for both the fiber shape and interfacial effects. Using the generalized self-consistency method and complex function approach, this work further derives analytical solutions for the effective magneto-electric-elastic (MEE) moduli. Based on this model, the study systematically investigates the influence of the coated fiber shape, fiber size, coated fiber volume fraction, and inner-to-outer coating thickness ratio on the composite’s effective MEE moduli. The findings reveal the synergistic mechanism, by which the elliptical fiber shape and multiple interfacial effects regulate the magnetoelectric anisotropy, thereby providing crucial theoretical guidance for designing the structure of high-performance multiferroic nanocomposites and optimizing their performance.

Key words: multiferroic nanocomposite, multilayer coated fiber, surface effect, conformal mapping, effective modulus

2010 MSC Number: 

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