Analytical study of Love wave propagation in functionally graded piezo-poroelastic media with electroded boundary and abruptly thickened imperfect interface

Singh, Abhishek Kumar; Rajput, Pragati; Chaki, Mriganka Shekhar

doi:10.1080/17455030.2020.1779387

Cited by 9 publications

(6 citation statements)

References 45 publications

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“…with 𝜁(𝑘 − 𝜆) = [𝐺 1 + 𝐺 2 + 𝐺 3 + 𝐺 4 + 𝐺 5 ] 𝜂=𝑘−𝜆 , where, the definitions of 𝐺 1 , 𝐺 2 , 𝐺 3 , 𝐺 4 , 𝐺 5 are in the Appendix, and the argument of 𝜁(𝑘 − 𝜆) results from the fact that 𝜂 + 𝜆 = 𝑘 . Using the asymptotic formula [32,33] and hating terms with 2/s and more extensive powers of 2/s for large s, we obtain…”

Section: Frequency Equation For Rectangular-shaped Irregularity At Th...mentioning

confidence: 99%

“…The mechanically displaced element of the irregularly FGMEE substrate for the ESMS situation may be calculated as follows by following the same procedure as in Section 6.1 and using the same asymptotic formulas [32,33]…”

Section: Frequency Equation For Rectangular-shaped Irregularity At Th...mentioning

confidence: 99%

“…Chaki et al [32] discussed the effects of rectangular/parabolic-shaped irregularities on the propagation of shear horizontal waves in a slightly compressible layered structure. In functionally graded piezo-poroelastic mediums with electrode boundaries and suddenly thickened imperfect interface, Singh et al [33] analytical analysis of Love wave propagation was encountered. In functionally graded fracturing porous sedimentary with interfacial irregularity, Gupta et al [34] investigated the flexoelectric influence on SH-wave propagation.…”

Section: Introductionmentioning

confidence: 99%

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SH-Wave Propagation in Functionally Graded Magneto-Electro-Elastic Substrate at Irregular Boundaries

Kulandhaivel,

Kumar

2024

MMEP

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The current study examines the behavior of an SH wave traveling over a functionally graded magneto-elastic substrate arrangement. At the substrate-vacuum interface, two irregularities with different shapes-rectangular and parabolically shaped-are considered in electrically and magnetically open cases and electrically and magnetically short cases. A study is also done on the combined impact of inhomogeneity, depth source, and irregularity. With the help of the Fourier transform, inverse Fourier transform, and perturbation technique, complex frequency relation has been derived for each type of irregular interface. The results' key characteristics are highlighted. In order to know the impact of the parameters involved, a particular model consisting of BaTiO3-CoFe2O4 magneto-electro-elastic material has been taken. The findings were presented in the form of graphs, which were created using Mathematica 7. Graphs are plotted for variations in wavenumber and phase velocity. This calculation model could be the ideal match for laminated FGMEE structures utilized as surface acoustic wave devices since the variation of the film's magneto-electromechanical characteristics changes gradually with depth and throughout the production process (SAW). As a result, it can serve as a theoretical foundation for the design of high-performance SAW devices.

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Section: Frequency Equation For Rectangular-shaped Irregularity At Th...mentioning

confidence: 99%

Section: Frequency Equation For Rectangular-shaped Irregularity At Th...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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SH-Wave Propagation in Functionally Graded Magneto-Electro-Elastic Substrate at Irregular Boundaries

Kulandhaivel,

Kumar

2024

MMEP

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“…In [22], the result of studying the thermomechanical behavior of multilayer media is given on the basis of the Lord-Shulman model; the interactions of media were not considered. Paper [23] shows the propagation of SH-waves in two anisotropic layers associated with isotropic half-space under the influence of gravity; there are no results of studies into wave propagation in deformable media and the interaction of two deformable media under dynamic mobile intense loads. In [24], three-dimensional numerical modeling of methane and air combustion in inert porous media on a pore scale under conditions of propagation of the combustion wave in the medium up and downstream was considered; there are no results of studies into wave propagation in deformable media and the interaction of two deformable media under dynamic mobile intense loads.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…The displacements u, v, w, the deformations ε ij , and the stresses σ ij in the Cartesian coordinates through the potentials Ф and Ψ of the longitudinal and transverse waves are determined from the following formulas from [22][23][24] for displacements…”

Section: X Y Zmentioning

confidence: 99%

Construction of mathematical models of the stressed-strained state of a material with a porous water-saturated base under dynamic load

Aidosov¹,

Narbayeva

2021

EEJET

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Materials of beams, plates, slabs, strips have been commonly applied in various fields of industry and agriculture as flat elements in the structures for machinery and construction. They are associated with the design of numerous engineering structures and facilities, such as the foundations of various buildings, airfield and road surfaces, floodgates, including underground structures. This paper reports a study into the interaction of the material (of beams, plates, slabs, strips) with the deformable base as a three-dimensional body and in the exact statement of a three-dimensional problem of mathematical physics under dynamic loads. The tasks of studying the interaction of a material (beams, plates, slabs, strips) with a deformable base have been set. A material lying on a porous water-saturated viscoelastic base is considered as a viscoelastic layer of the same geometry. It is assumed that the lower surface of the layer is flat while the upper surface, in a general case, is not flat and is given by some equation. Classical approximate theories of the interaction of a layer with a deformable base, based on the Kirchhoff hypothesis, have been considered. Using the well-known hypothesis by Timoshenko and others, the general three-dimensional problem is reduced to a two-dimensional one relative to the displacement of points of the median plane of the layer, which imposes restrictions on external efforts. In the examined problem, there is no median plane. Therefore, as the desired values, displacements and deformations of the points in the plane have been considered, which, under certain conditions, pass into the median plane of the layer. It is not possible to find a closed analytical solution for most problems while experimental studies often turn out to be time-consuming and dangerous processes

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SH-type wave motion in a geophysical model with monoclinic and heterogeneous media due to a point source at the interface

2023

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Analytical study of Love wave propagation in functionally graded piezo-poroelastic media with electroded boundary and abruptly thickened imperfect interface

Cited by 9 publications

References 45 publications

SH-Wave Propagation in Functionally Graded Magneto-Electro-Elastic Substrate at Irregular Boundaries

SH-Wave Propagation in Functionally Graded Magneto-Electro-Elastic Substrate at Irregular Boundaries

Construction of mathematical models of the stressed-strained state of a material with a porous water-saturated base under dynamic load

SH-type wave motion in a geophysical model with monoclinic and heterogeneous media due to a point source at the interface

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