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Three-Dimensional Multiferroic Structures under Time-Harmonic Loading

Sonal Nirwal1,3,*, Ernian Pan1,2,*, Chih-Ping Lin1,2, Quoc Kinh Tran1

1 Department of Civil Engineering, National Yang Ming Chiao Tung University, Hsinchu, 300, Taiwan
2 Disaster Prevention and Water Environment Research Center, National Yang Ming Chiao Tung University, Hsinchu, 300, Taiwan
3 Department of Applied Science, Krishna Institute of Engineering and Technology, Ghaziabad, 201206, India

* Corresponding Authors: Sonal Nirwal. Email: email; Ernian Pan. Email: email

Computer Modeling in Engineering & Sciences 2024, 141(2), 1165-1191. https://doi.org/10.32604/cmes.2024.054255

Abstract

Magneto-electro-elastic (MEE) materials are a specific class of advanced smart materials that simultaneously manifest the coupling behavior under electric, magnetic, and mechanical loads. This unique combination of properties allows MEE materials to respond to mechanical, electric, and magnetic stimuli, making them versatile for various applications. This paper investigates the static and time-harmonic field solutions induced by the surface load in a three-dimensional (3D) multilayered transversally isotropic (TI) linear MEE layered solid. Green’s functions corresponding to the applied uniform load (in both horizontal and vertical directions) are derived using the Fourier-Bessel series (FBS) system of vector functions. By virtue of this FBS method, two sets of first-order ordinary differential equations (i.e., N-type and LM-type) are obtained, with the expansion coefficients being Love numbers. It is noted that the LM-type system corresponds to the MEE-coupled P-, SV-, and Rayleigh waves, while the N-type corresponds to the purely elastic SH- and Love waves. By applying the continuity conditions across interfaces, the solutions for each layer of the structure (from the bottom to the top) are derived using the dual-variable and position (DVP) method. This method (i.e., DVP) is unconditionally stable when propagating solutions through different layers. Numerical examples illustrate the impact of load types, layering, and frequency on the response of the structure, as well as the accuracy and convergence of the proposed approach. The numerical results are useful in designing smart devices made of MEE solids, which are applicable to engineering fields like renewable energy.

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APA Style
Nirwal, S., Pan, E., Lin, C., Tran, Q.K. (2024). Three-dimensional multiferroic structures under time-harmonic loading. Computer Modeling in Engineering & Sciences, 141(2), 1165-1191. https://doi.org/10.32604/cmes.2024.054255
Vancouver Style
Nirwal S, Pan E, Lin C, Tran QK. Three-dimensional multiferroic structures under time-harmonic loading. Comput Model Eng Sci. 2024;141(2):1165-1191 https://doi.org/10.32604/cmes.2024.054255
IEEE Style
S. Nirwal, E. Pan, C. Lin, and Q.K. Tran "Three-Dimensional Multiferroic Structures under Time-Harmonic Loading," Comput. Model. Eng. Sci., vol. 141, no. 2, pp. 1165-1191. 2024. https://doi.org/10.32604/cmes.2024.054255



cc Copyright © 2024 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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