Shear excitation of a multilayered magneto-electro-elastic half-space considering a vast frequency content

Moshtagh, Ehsan; Pan, Ernian; Eskandari‐Ghadi, Morteza

doi:10.1016/j.ijengsci.2017.11.012

Cited by 10 publications

(8 citation statements)

References 39 publications

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“…where σ ij , D i , B i , ρ , and u i are the elastic stresses, electrical displacements, magnetic fluxes (induction), material density, and elastic displacements, respectively. In terms of the elastic displacements, electric potential, and magnetic potential and further making use of the constitutive relations for the TI MEE materials (Moshtagh et al, 2018; Xue and Pan, 2013), equation (1) can be expressed as follows…”

Section: Definition Of the Problem And Basic Equationsmentioning

confidence: 99%

“…where U L , U M , U N , Φ, Ψ, T L , T M , T N , D L , D M , D N , B L , B M , and B N are the unknown expansion coefficients in terms of z, t, λ , and m (Moshtagh et al, 2018).…”

Section: Definition Of the Problem And Basic Equationsmentioning

confidence: 99%

“…Then, in terms of the expansion coefficients, the original governing equations of motion, the Gauss equations, and the constitutive relations can be converted into the following two decoupled sets of ordinary differential equations (Moshtagh et al, 2018)…”

Section: Definition Of the Problem And Basic Equationsmentioning

confidence: 99%

“…To treat the multilayered case, the DVP method (Liu et al, 2018) is applied. The layer matrix and recursive relation of Group I ( LM -type) are, respectively (Moshtagh et al, 2017, 2018)…”

Section: General Solution In Any Layer and Recursive Relation Among Different Layersmentioning

confidence: 99%

“…In analyzing the dynamic response of a solid, the time variation of the ambient effect is usually expressed in the frequency domain via Fourier transform (Sneddon, 1951). Such a time-harmonic (dynamic) phenomenon in MEE media or solids is inevitable (Eskandari-Ghadi et al, 2013; Kattimani and Ray, 2015; Liu et al, 2014; Mahmoud, 2013; Moshtagh et al, 2017, 2018; Sharma et al, 2008), especially for devices operating under time and/or frequency domain (Yang et al, 2017). The time-harmonic dislocation can be modeled as a jump in elastic displacement, electric potential, and/or magnetic potential in the environment or devices (Harrington, 2001; Namias, 1988; Pamyatnykh et al, 2017; Selvanayagam and Eleftheriades, 2013; Siebrits and Crouch, 1994; Wendland and Efendiev, 2003).…”

Section: Introductionmentioning

confidence: 99%

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Time-harmonic dislocations in a multilayered transversely isotropic magneto-electro-elastic half-space

Moshtagh

Eskandari‐Ghadi

Pan

2019

Journal of Intelligent Material Systems and Structures

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Modeling layered systems with dislocations is very challenging; yet, it is important since most smart structures are made of multilayers to make best use of the combined effective property. As such, during the manufactures, defects, such as dislocations, could be introduced in the multilayers. In this article, we analytically find, for the first time, the response of three-dimensional multilayered magneto-electro-elastic systems due to time-harmonic dislocations. The dislocations are the most general, containing the elastic dislocations and discontinuity of the electric potential and/or magnetic potential over a circular region in any layer in the medium. The fully coupled partial differential equations of motion and the Gauss law for the magneto-electro-elastic materials are solved in terms of cylindrical system of vector functions, and the dual variable and position method is further introduced to treat the multilayers. Numerical examples are carried out based on the derived analytical solution to demonstrate the effects of the time-harmonic dislocations on the induced magneto-electro-elastic fields. This analytical solution is important in both electrodynamics and elastodynamics, with possible applications in material sciences and physics. The numerical results are useful in design process of smart devices made of magneto-electro-elastic solids applicable to other engineering fields like renewable energy.

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Section: Definition Of the Problem And Basic Equationsmentioning

confidence: 99%

“…where U L , U M , U N , Φ, Ψ, T L , T M , T N , D L , D M , D N , B L , B M , and B N are the unknown expansion coefficients in terms of z, t, λ , and m (Moshtagh et al, 2018).…”

Section: Definition Of the Problem And Basic Equationsmentioning

confidence: 99%

Section: Definition Of the Problem And Basic Equationsmentioning

confidence: 99%

“…To treat the multilayered case, the DVP method (Liu et al, 2018) is applied. The layer matrix and recursive relation of Group I ( LM -type) are, respectively (Moshtagh et al, 2017, 2018)…”

Section: General Solution In Any Layer and Recursive Relation Among Different Layersmentioning

confidence: 99%