Konenkov’s bending wave on an FGM plate supported by a semi-infinite viscoelastic Pasternak foundation

Som, Rahul; Manna, Santanu

doi:10.1016/j.apm.2023.02.026

Cited by 4 publications

(2 citation statements)

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“…Nobili et al [22] investigate the generation of edge waves due to the propagating crack and load motion, then analyze the dynamic stress intensity factor to extract the resonance behavior of the model. Bending edge wave propagation on an FGM plate under a thermal environment and the effect of non-local elasticity is investigated by Kumari et al [23], and Som and Manna [24]. The qualitative behavior of the bending wave on an elastic plate reinforced by a strip beam and plate is investigated by Alzaidi et al [25,26].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

“…Bending edge wave propagation on an FGM plate under a thermal environment and the effect of non‐local elasticity is investigated by Kumari et al. [23], and Som and Manna [24]. The qualitative behavior of the bending wave on an elastic plate reinforced by a strip beam and plate is investigated by Alzaidi et al.…”

Section: Introductionmentioning

confidence: 99%