Shock-induced thermal wave propagation and response analysis of a viscoelastic thin plate under transient heating loads

Chenlin, Li; Guo, Hongjian; Tian, Xiaogeng

doi:10.1080/17455030.2017.1341670

Cited by 18 publications

(1 citation statement)

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“…Reddy [5] presents a general formulation of the behavior of the FGM plate by considering the Von-Karman type of non-linearity and linear third-order plate theory. Since a beam or plate made by FGM and supported with an elastic foundation is a common engineering structure with significant applications, such as slabs, platforms, landing strips, helipads, buildings and machine foundations, therefore, to analyze these structures, the wave propagation technique [6,7] has proven to be an efficient tool, which is greatly used in structural health monitoring. Liang and Wang [8] studied the wave propagation on a FGM sandwich porous plate and showed that the velocity of the wave is higher if the plate is supported by an elastic foundation.…”

Section: Introductionmentioning

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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