Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

Wei, Wei; Zheng, Rong; Liu, Ganbin; Tao, Haibin

doi:10.1007/s11242-016-0659-1

Cited by 24 publications

(5 citation statements)

References 27 publications

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“…Marin et al (2015) studied an extension of the domain of influence theorem for anisotropic thermoelastic material with voids. Xiong and Tian (2016), Ansari et al (2021), Wei et al (2016) and Haibing et al (2014) investigated numerous problems based on the propagation of waves in a thermoelastic porous medium.…”

Section: Memorydependent Derivativementioning

confidence: 99%

A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

Said

Othman

Eldemerdash

2022

MMMS

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PurposeIn the present article, the three-phase-lag (3PHL) model and the Green-Naghdi theory of types II, III with memory-dependent derivative is used to study the effect of rotation on a nonlocal porous thermoelastic medium.Design/methodology/approachIn this study normal mode analysis is used to obtain analytical expressions of the physical quantities. The numerical results are given and presented graphically when mechanical force is applied.FindingsThe model is illustrated in the context of the Green-Naghdi theory of types II, III and the three-phase lags model. Expressions for the physical quantities are solved by using the normal mode analysis and represented graphically.Originality/valueComparisons are made with the results predicted in the absence and presence of the rotation as well as a nonlocal parameter. Also, the comparisons are made with the results of the 3PHL model for different values of time delay.

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Section: Memorydependent Derivativementioning

confidence: 99%

A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

Said

Othman

Eldemerdash

2022

MMMS

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“…The interaction of waves within a fluid-porous piezoelectric multilayered structure was investigated by Vashishth et al [24,25]. Wei et al [26] delved into the analysis of the reflection and refraction behaviours of P waves in the porous thermoelastic medium. Vashishth et al [27] studied ultrasonic waves in porous piezo-thermoelastic structure.…”

Section: Introductionmentioning

confidence: 99%

Reflection and transmission of ultrasonic waves in a layered structure with a functionally graded porous piezoelectric base

Vashishth,

Bareja,

Gupta

2024

Phys. Scr.

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The phenomenon of reflection and transmission of waves offers valuable insights into the internal composition and structural characteristics of materials. This study investigates the reflection and transmission of waves in functionally graded porous piezoelectric materials. These materials, distinguished by their customised electromechanical attributes and gradual property variations, present a promising avenue for optimizing performance across diverse applications, including ultrasonics. The reflection and transmission of ultrasonic waves in a novel structure, consisting of a fluid half-space (FHS) positioned above n porous piezoelectric layers, situated on top of a functionally graded porous piezoelectric half-space (FGPPHS) is studied in this paper. The material properties of FGPPHS are considered to vary along the vertical direction and and resulting equations are solved analytically and numerically. The transfer matrix method is employed to analytically determine the energy ratios and amplitude ratios for reflected and transmitted waves. Numerical computations are performed to study the impacts of frequency, gradation, angle of incidence, and porosity on the energy ratios. Furthermore, the influence of stacking of the number of porous piezoelectric layers above FGPPHS, and the choice of materials (Barium Titanate (BaTiO 3), PZT − 5H, PZT − 7H) in layers and half-space, on the energy ratios are studied. The absolute value of acoustic impedance is plotted for various angles of incidence and porosities. From the graph, it is found that the acoustic impedance can be controlled by adjusting porosity in the structure. This will be helpful in minimizing the energy loss at ceramic-medium interface and improving the mismatch of acoustic impedances at the interfaces of medical ultrasonic imaging devices or underwater sonar detectors, and NDE applications. Further, because of lower acoustic impedance, lower density and stiffness of porous piezoelectric materials, the outcomes of this study will be helpful in designing SAW devices.

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“…Kumar and Sarthi (2006) solved the R/T problem, but ignoring energy dissipation, and Singh and Chakraborty (2013) assumed an initial stress at a solid-liquid interface, while Sharma (2018) considered a poroelastic/elastic interface. More recently, Sarkar and Mondal (2020) considered a stress-free and thermally insulated surface on the basis of the modified Green-Lindsay theory, but their formulation neglects the presence of inhomogeneous plane waves, violating Snell's law, which is inappropriate but appears in many papers (e.g., Sinha and Elsibai, 1997;Wei et al, 2016;. Wang et al (2021) studied the scattering coefficients at a free surface in the framework of the thermo-poroelasticity theory.…”

Section: Introductionmentioning

confidence: 99%

Reflection and Transmission of Inhomogeneous Plane Waves in Thermoelastic Media

Hou

Carcione

et al. 2022

Front. Earth Sci.

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We study the reflection and transmission coefficients of plane waves incident at an interface between two isotropic thermoelastic half spaces and compare them with those of the elastic case. The models include the classical-Biot (B) and extended Lord-Shulman (LS) theories, and predict reflected and transmitted fast-compressional (P), thermal (T) and shear (S) waves. The coefficients are formulated in terms of incidence and inhomogeneity angles, medium properties and potential functions. We consider different incident wave types and inhomogeneity angles to analyze the magnitude, phase and energy ratio of the plane waves, and perform a comparison with the isothermal (elastic) theory. The thermoelastic and elastic models predict different energy partitions between the P and S modes, satisfying the conservation of energy. The LS model exhibits higher T-wave thermal attenuation with increasing inhomogeneity angle at high frequencies, accordingly predicting more interference energy. The angle affects the energy partitions, particularly at the critical angle and near grazing incidence for an incident P wave, which satisfies the conservation of energy. Beyond the critical angle, the energy flux perpendicular to the interface of the isothermal model vanishes, while it is significant in the thermoelastic case. The T-wave magnitudes increase when the thermal conductivity (relaxation time) increases.

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Reflection and Refraction of P Wave at the Interface Between Thermoelastic and Porous Thermoelastic Medium

Cited by 24 publications

References 27 publications

A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

A novel model on nonlocal thermoelastic rotating porous medium with memory-dependent derivative

Reflection and transmission of ultrasonic waves in a layered structure with a functionally graded porous piezoelectric base

Reflection and Transmission of Inhomogeneous Plane Waves in Thermoelastic Media

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