Three-Dimensional Multiferroic Structures under Time-Harmonic Loading  

作　　者：Sonal Nirwal Ernian Pan Chih-Ping Lin Quoc Kinh Tran 

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

出　　处：《Computer Modeling in Engineering & Sciences》2024年第11期1165-1191,共27页工程与科学中的计算机建模（英文）

基　　金：The National Science and Technology Council of Taiwan(Grant No.NSTC 111-2811-E-516 A49-534)provided financial support for this study。

摘　　要：Magneto-electro-elastic(MEE)materials are a specific class of advanced smart materials that simultaneouslymanifest the coupling behavior under electric,magnetic,and mechanical loads.This unique combination ofproperties allows MEE materials to respond to mechanical,electric,and magnetic stimuli,making them versatile forvarious applications.This paper investigates the static and time-harmonic field solutions induced by the surface loadin a three-dimensional(3D)multilayered transversally isotropic(TI)linear MEE layered solid.Green’s functionscorresponding 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 ordinarydifferential 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-typecorresponds 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 andposition(DVP)method.This method(i.e.,DVP)is unconditionally stable when propagating solutions throughdifferent layers.Numerical examples illustrate the impact of load types,layering,and frequency on the response ofthe structure,as well as the accuracy and convergence of the proposed approach.The numerical results are usefulin designing smart devices made of MEE solids,which are applicable to engineering fields like renewable energy.

关 键 词：MULTIFERROICS MULTILAYERS Love numbers Fourier-Bessel series dual-variable and position method time-harmonic 

分 类 号：O17[理学—数学]