Behavior of Love-Wave Fields Due to the Reinforcement, Porosity Distributions, Non-Local Elasticity and Irregular Boundary Surfaces

Bhat, Manasa; Manna, Santanu

doi:10.1142/s1758825123500424

Cited by 7 publications

(3 citation statements)

References 26 publications

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“…Assume that the plate thickness is measured along the

x_3

axis, with the plate's mid‐plane lying on the

x_1x_2

plane. The stress–strain relation for MEE fluid‐saturated medium can be written as [50–61],

\begin{matrix} (}, \begin{matrix} σ_{11} = S_{11} ε_{11} + S_{12} ε_{22} + S_{13} ε_{33} - e_{31} E_{3} - q_{31} H_{3} + M_{1} ζ, \\ σ_{22} = S_{12} ε_{11} + S_{11} ε_{22} + S_{13} ε_{33} - e_{31} E_{3} - q_{31} H_{3} + M_{1} ζ, \\ σ_{33} = S_{13} ε_{11} + S_{13} ε_{22} + S_{33} ε_{33} - e_{33} E_{3} - q_{33} H_{3} + M_{3} ζ, \\ σ_{23} = S_{44} ε_{23}, \\ σ_{13} = S_{44} ε_{13}, \\ σ_{12} = false(S_{11} goodbreak- S_{12} false) ε_{12}, \\ D_{3} = e_{31} false(ε_{11} goodbreak+ ε_{22...} \end{matrix}) \end{matrix}

…”

Section: Mathematical Modelmentioning

confidence: 99%

Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate

Som,

Manna

2024

Z Angew Math Mech

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This study investigates the localized wave propagation at the free edge of a thin semi‐infinite Magneto‐Electro‐Elastic (MEE) plate. The plate is supported by a two‐parameters elastic foundation. Biot's porosity theory is considered to formulate the porosity in the model, and the pore structure is saturated with an incompressible fluid. The Kirchhoff–Love plate theory determines the plate displacement field. A non‐homogeneity in the material parameters is considered, which varies with the spatial coordinate along the thickness direction of the plate. In order to illustrate the impacts of the surface elements on bending wave propagation, the model incorporates the surface elasticity theory. The short circuit boundary conditions are implemented to derive the general form of the potential function connected with the electric and magnetic fields, respectively. The dispersion relation for bending edge wave on a MEE fluid‐saturated porous plate is obtained by considering a sinusoidal waveform, which propagates along the free edge of the plate. A numerical method named Finite Difference (FD) scheme is employed to analyze the stability of the numerical scheme and also extract the expression of the velocity profiles of the bending edge wave in the absence of the pore structure. The impacts of the various parameters included in the considered model are examined using a numerical example, from which conclusions regarding their sensitivity are derived.

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“…Assume that the plate thickness is measured along the

x_3

axis, with the plate's mid‐plane lying on the

x_1x_2

plane. The stress–strain relation for MEE fluid‐saturated medium can be written as [50–61],

\begin{matrix} (}, \begin{matrix} σ_{11} = S_{11} ε_{11} + S_{12} ε_{22} + S_{13} ε_{33} - e_{31} E_{3} - q_{31} H_{3} + M_{1} ζ, \\ σ_{22} = S_{12} ε_{11} + S_{11} ε_{22} + S_{13} ε_{33} - e_{31} E_{3} - q_{31} H_{3} + M_{1} ζ, \\ σ_{33} = S_{13} ε_{11} + S_{13} ε_{22} + S_{33} ε_{33} - e_{33} E_{3} - q_{33} H_{3} + M_{3} ζ, \\ σ_{23} = S_{44} ε_{23}, \\ σ_{13} = S_{44} ε_{13}, \\ σ_{12} = false(S_{11} goodbreak- S_{12} false) ε_{12}, \\ D_{3} = e_{31} false(ε_{11} goodbreak+ ε_{22...} \end{matrix}) \end{matrix}

…”

Section: Mathematical Modelmentioning

confidence: 99%

Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate

Som,

Manna

2024

Z Angew Math Mech

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“…Manna et al [50] and Pramanik et al [51] explored Love wave propagation in a coated anisotropic porous layer with the influence of a point source as an earthquake epicentre. Vashishth & Bareja [52], as well as Bhat & Manna [53], analysed Love wave propagation in composite porous media with piezoelectric and fibre-reinforced material, respectively. Kumar et al [54] also discussed the propagation of Love-type waves in thermoelastic solids, considering porous rock as a double-porous medium.…”

Section: Introductionmentioning

confidence: 99%

Theory of elastic wave propagation in a fluid-saturated multi-porous medium with multi-permeability

Pramanik,

Manna,

Nobili

2024

Proc. R. Soc. A.

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This paper establishes the concept of elastic wave propagation in a multi-porous medium with different permeabilities by assuming there are n distinct pore fluid phases. The dynamic equation of motion of elastic wave propagation through this multi-porous medium is derived based on Lagrangian mechanics. In this regard, the generalized form of mass coefficients and then the energy loss due to the fluid phases in terms of dissipation coefficients are presented for low-frequency limits with the help of Darcy’s Law of multi-phases system. The elastic coefficients of the constitutive equation in terms of compliance matrix are identified using a series of Gedanken experiments. Some significant results regarding the compressional and rotational waves in a multi-porosity medium are derived. The validation of the theory has been shown by comparing it with the existing theory of single and double porosity. It is observed that there are ( n + 1 ) compressional waves corresponding to solid and fluid phases, whereas only one rotational wave is associated with the solid phase. The concept of multi-porosity theory can contribute to a deeper understanding of wave behaviour in a porous medium.

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“…Love wave propagation in an isotropic fluid-saturated porous material under the influence of parabolic irregularity was discussed by Saini and Poonia [35]. According to Bhat and Manna [36], the reinforcing, porosity distributions, non-local elasticity, and uneven boundary surfaces all affect the behaviour of Love-wave fields. Singh et al [37] studied the scattering processes of Love-type wave propagation in a multilayer porous piezoelectric structure with surface irregularity.…”

Section: Introductionmentioning

confidence: 99%

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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Behavior of Love-Wave Fields Due to the Reinforcement, Porosity Distributions, Non-Local Elasticity and Irregular Boundary Surfaces

Cited by 7 publications

References 26 publications

Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate

Bending edge wave on a functionally graded fluid‐saturated porous magneto‐electro‐elastic plate

Theory of elastic wave propagation in a fluid-saturated multi-porous medium with multi-permeability

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

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