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

doi:10.1007/s10483-026-3408-6

Abstract

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:

TB331

Tingting SA, Yan LI, Lihong CHANG, Fanfan NAI, Fusheng MIAO, Wenshuai WANG. Effective magneto-electro-elastic moduli of elliptical multi-coated multiferroic nanocomposites with surface effects. Applied Mathematics and Mechanics (English Edition), 2026, 47(7): 1511-1532.

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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-026-3408-6

https://www.amm.shu.edu.cn/EN/Y2026/V47/I7/1511

Figures/Tables 10

Fig. 1

Fig. 2

Table 1

MEE material properties[19]"

Material	c₄₄/GPa	e₁₅/(C·m²)	q₁₅/(N·A^-1·m^-1)	ε₁₁/(C²·N^-1·m^-2)	μ₁₁/(N·s²·C^-2)
BaTiO₃ (piezoelectric)	43.0	11.6	0.0	$11.20 × 10 − 9$	$5.0 × 10 − 6$
CoFe₂O₄ (piezomagnetic)	45.3	0.0	550.0	$0.08 × 10 − 9$	$590.0 × 10 − 6$
Terfenol-D (piezomagnetic)	13.6	0.0	108.3	$0.05 × 10 − 9$	$5.4 × 10 − 6$
Epoxy (elastic)	1.28	0.0	0.0	$0.10 × 10 − 9$	$1.0 × 10 − 6$

Table 1

Table 2

Properties of two kinds of MEE materials at the interface[37]"

Material	c₄₄/GPa	e₁₅/(C·m²)	q₁₅/(N·A^-1·m^-1)	ε₁₁/(C²·N^-1 m^-2)
Piezomagnetic material	10	0	330	$3 × 10 − 11$
Piezoelectric material	2	50	0	0

Table 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

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