Analysis on different types of imperfect interfaces between two dissimilar piezothermoelastic half-spaces on reflection and refraction phenomenon of plane waves

Guha, Sayantan; Singh, Abhishek Kumar; Das, Amrita

doi:10.1080/17455030.2019.1610198

Cited by 31 publications

(8 citation statements)

References 26 publications

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“…Equation (3) gives the strain-displacement relations, equation ( 4) represents the stress-strain relations in presence of temperature and electric field, equation (5) gives the equations of motion in the presence of initial stresses, equation ( 6) is the heat conduction equation, equation (7) relates electric field to the respective potential function, and equations (8a) and (8b) are the well-known Gauss equations. s ij , e kl , T , D i , E k , and f are the stress tensors, strain tensors, temperature, electric displacement component, electric field vector, and electric potential function, respectively.…”

Section: Basic Equationsmentioning

confidence: 99%

Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions

Karmakar

Sahu

Goyal

2022

Mathematics and Mechanics of Solids

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The present paper deals with the study of the reflection and refraction of plane waves (quasi P wave, quasi SV wave, electroacoustic wave, and thermal wave) at the common interface of two dissimilar initially stressed functionally graded piezothermoelastic media. The problem has been formulated and solved using suitable boundary conditions, and the results are obtained in a closed matrix form. The effect of mechanical, electrical, and thermal loose bonding of the common interface on the reflection and refraction coefficients are analyzed and theoretical outcomes are presented through graphs under two generalized forms of thermoelasticity (namely, Lord and Shulman (LS) theory, Green and Lindsay (GL) theory). A particular model of CdSe and PZT-5A materials has been considered for the numerical illustration. Moreover, the effect of material gradient; horizontal, transverse, and normal initial stresses; thermal relaxation parameters; and material coefficients on the reflection and refraction coefficients are demonstrated with the help of graphs. The expressions for energy ratios of reflected and refracted waves are derived, and energy conservation is validated with the help of obtained graphs under LS and GL theories. The study finds its application toward the efficient optimization of force sensors, surface acoustic wave (SAW) devices, temperature sensors, and Love wave sensors.

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Section: Basic Equationsmentioning

confidence: 99%

Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions

Karmakar

Sahu

Goyal

2022

Mathematics and Mechanics of Solids

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“…17 Guha et al considered reflection and refraction characteristics of the wave propagation at the interfaces under various imperfect assumptions. 18 Anh et al presented an analytical treatment on the propagation of Stoneley waves for evaluating the quality of imperfect interfaces. 19 In this paper, we consider the resonance behavior of a pre-stressed sandwich plate-strip, which rests on a rigid foundation, with a piezoelectric core and elastic faces.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effects of poling direction and imperfection of interfaces on a pre-stressed system with a piezoelectric core bonded to elastic faces

Daşdemir

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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This paper models the resonance behavior of an initially stressed sandwich plate-strip consisting of a piezoelectric core and elastic faces, based on a rigid foundation, exposed to a time-harmonic force. Our research is conducted according to the linearized theory of electro-elasticity for solids under initial stress. This model assumes that there is a spring-type imperfectness at interfaces between the piezoelectric core and the face materials, both in the normal and tangential directions, and the core layer is poling in various directions. A mathematical model is created for the current problem, and then the finite element method (FEM) is used to solve it. Further, attention is focused on the influence of the mentioned imperfectness and the poling directions on the frequency response of plate-strip, in addition to the effects of the most important parameters on this response. The results show that as the imperfectness at the interface planes has the greatest effect on the horizontal polarization of the piezoelectric core, the mentioned polling direction inhibits the resonance mode of the system.

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“…Chandrasekharaiah [15] extended the physical law of piezothermoelectricity. Recently, Kumar and Sharma [16], [17], [18], and Guha et al [19] studied the various reflection problems at the interface of piezothermoelastic medium under different piezothermoelasticity theories. Several researchers, Vashishth and Sukhija [20], Barak et al [21], and Kumar et al [22] [23] [24], verified the energy balance law of incident, reflected and transmitted waves at the interface of various media.…”

Section: Introductionmentioning

confidence: 99%

Behavior of Energy Ratios Under Higher-order Mdd at Distinct Media

Barak

Kumar

et al. 2022

Preprint

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This paper presents a novel mathematical model of orthotropic piezothermoelastic half-space under the reference of three-phase lags heat transfer law with higher-order memory-dependent derivatives (HPS) underlying a thermoelastic half-space (TS). Thermoelastic plane waves involving longitudinal P wave, thermal T wave, or transversal SV wave propagating via TS medium and hitting at the interface x3 =0 results in three waves reflected in the TS medium and four waves transmitted in the HPS medium. Amplitude ratios are determined at the boundary interface x3 =0 and used to obtain the energy ratios of various reflected and transmitted waves. It is noticed that these ratios are under the impact of phase lags, higher order MDD parameters, frequency of the waves, and other physical parameters involved in the model. The balance law of energy conservation is justified. Graphically illustrated the impact of higher order memory-dependent derivatives parameters on the energy ratios variation with the incidence angle. Some unique cases of interest are also deduced

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Analysis on different types of imperfect interfaces between two dissimilar piezothermoelastic half-spaces on reflection and refraction phenomenon of plane waves

Cited by 31 publications

References 26 publications

Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions

Reflection and refraction of plane wave at the junction of two dissimilar pre-stressed functionally graded piezothermoelastic media under different interfacial conditions

Effects of poling direction and imperfection of interfaces on a pre-stressed system with a piezoelectric core bonded to elastic faces

Behavior of Energy Ratios Under Higher-order Mdd at Distinct Media

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