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Three-Dimensional Multiferroic Structures under time-harmonic Loading

Computer Modeling in Engineering & Sciences 2024年第11期141卷 1165-1191页

作者： Sonal Nirwal Ernian Pan Chih-Ping Lin Quoc Kinh Tran Department of Civil Engineering National Yang Ming Chiao Tung UniversityHsinchu300TaiwanChina Disaster Prevention and Water Environment Research Center National Yang Ming Chiao Tung UniversityHsinchu300TaiwanChina Department of Applied Science Krishna Institute of Engineering and TechnologyGhaziabad201206India

Magneto-electro-elastic(MEE)materials are a specific class of advanced smart materials that simultaneouslymanifest the coupling behavior under electric,magnetic,and mechanical *** unique combination ofproperties allows MEE materials to respond to mechanical,electric,and magnetic stimuli,making them versatile forvarious *** 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 ***’s functionscorresponding to the applied uniform load(in both horizontal and vertical directions)are derived using the Fourier-Bessel series(FBS)system of vector *** 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 *** 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 *** 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(i.e.,DVP)is unconditionally stable when propagating solutions throughdifferent *** 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 *** 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

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On the Uniqueness Theorem of time-harmonic Electromagnetic Fields

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Journal of Electromagnetic Analysis and Applications 2011年第1期3卷 13-21页

作者： Yongfeng Gui Pei Li 不详

The uniqueness theorem of time-harmonic electromagnetic fields, which is the theoretical basis of boundary value problem (BVP) of electromagnetic fields, is reviewed. So far there are many versions of the statements and proofs on the theorem. However, there exist some limitations and lack of strictness in these versions, for instance, the discussion of the uniqueness of solution without considering the existence of solution and the lack of strictness in the case of loss-less medium. In contrast with the traditional statements and proofs, this paper introduces some important conclusions on operator equation from modern theory of partial differential equation (PDE) and attempts to solve the problems on the existence and uniqueness of the solution to operator equation which is derived from Maxwell’s equations of time-harmonic electromagnetic fields. This method provides a novel and rigorous approach to discuss and solve the existence and uniqueness of the solution to time- harmonic fields in the new mathematical framework. Some important conclusions are presented.

关键词： time-harmonic Fields The Existence and Uniqueness of Solution the Case of Lossless Medium Operator Equation Variational Principles Weak Solution Coercive Condition

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THE FACTORIZATION METHOD FOR A MIXED SCATTERING PROBLEM FROM A BOUNDED OBSTACLE AND AN OPEN ARC

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Journal of Computational Mathematics 2019年第3期37卷 384-402页

作者： Qinghua Wu Meilan Zeng Wentao Xiong Guozheng Yan Jun Guo School of Mathematics and Statistics Hubei Engineering UniversityXiaogan 432100China School of Mathematics and Statistics Central China Normal UniversityWuhan 430079China School of Mathematics and Statistics South-Central University For NationalitiesWuhan 430074China

In this paper,we consider the scattering problem of time-harmonic electromagnetic waves from an infinite cylinder having an open arc Γ and a bounded domain D in R^2 as cross *** focus on the inverse scattering problem,that is,to reconstruct the shape of Γ and D from the far-field pattern by using the factorization *** establishing a mixed reciprocity relation,we prove that the scatters Γ and D can be uniquely determined by the far-field ***,the mathematical basis is given to explain that the factorization method is feasible to our *** the end of this paper,we give some numerical examples to show the efficaciousness of the algorithms.

关键词： Factorization method Inverse scattering problem Mixed scattering time-harmonic electromagnetic wave

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Dynamic Stress Intensity Factors for Three Parallel Cracks in an Infinite Plate Subject to harmonic Stress Waves

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Engineering（科研） 2010年第7期2卷 485-495页

作者： Shouetsu Itou 不详

Dynamic stresses around three parallel cracks in an infinite elastic plate that is subjected to incident time-harmonic stress waves normal to the cracks have been solved. Using the Fourier transform technique, the boundary conditions are reduced to six simultaneous integral equations. To solve these equations, the differences of displacements inside the cracks are expanded in a series. The unknown coefficients in those series are solved using the Schmidt method such that the conditions inside the cracks are satisfied. Numerical calculations are carried out for some crack configurations.

关键词： Three Cracks time-harmonic Problem Stress Intensity Factor Integral Equation The Schmidt Method

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