Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Yuan, Xunhui; Jiang, Quan

doi:10.1002/zamm.201500223

Cited by 3 publications

(3 citation statements)

References 44 publications

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“…Using the main results obtained earlier, we can receive the basic equations describing any wave propagation in the piezoelectric crystal under the electric bias and rotation

\begin{matrix} right ρ ([], \frac{\partial^{2} u_{j}}{\partial t^{2}} + ε_{j i k} ε_{k m n} {normalΩ}_{i} {normalΩ}_{m} u_{n} + 2 ε_{j i k} {normalΩ}_{i} \frac{\partial u_{k}}{\partial t}) & - & left {\overset{normalo}{C}}_{i j k l} u_{k, l i} - {\overset{o}{e}}_{k i j} ϕ_{, k i} = 0 \\ - & left {\overset{o}{\in}}_{i j} ϕ_{, j i} + {\overset{o}{e}}_{i k l} u_{k, l i} = 0 \end{matrix}

…”

Section: Problem Formulationmentioning

confidence: 99%

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Electric bias dependence of piezoelectric wave reflection upon a rotating half‐plane

Yuan

2019

Z Angew Math Mech

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Main theory concerned with the piezoelectric wave reflection subjected the action of electric bias and rotation is presented, in which the higher order tensors of piezoelectric, elastic, dielectric and electrostrictive constants are involved. Some calculations for Lithium Niobate reveals that the electric bias and rotation are important factors of the wave reflection problems. K E Y W O R D Scoriolis acceleration, electric bias, nonlinear tensors, wave reflection

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“…Using the main results obtained earlier, we can receive the basic equations describing any wave propagation in the piezoelectric crystal under the electric bias and rotation

\begin{matrix} right ρ ([], \frac{\partial^{2} u_{j}}{\partial t^{2}} + ε_{j i k} ε_{k m n} {normalΩ}_{i} {normalΩ}_{m} u_{n} + 2 ε_{j i k} {normalΩ}_{i} \frac{\partial u_{k}}{\partial t}) & - & left {\overset{normalo}{C}}_{i j k l} u_{k, l i} - {\overset{o}{e}}_{k i j} ϕ_{, k i} = 0 \\ - & left {\overset{o}{\in}}_{i j} ϕ_{, j i} + {\overset{o}{e}}_{i k l} u_{k, l i} = 0 \end{matrix}

…”

Section: Problem Formulationmentioning

confidence: 99%

“…On the other hand, the roles of the Coriolis and centripetal acceleration on waves in the rotary working conditions were investigated in references . The author and his colleagues also solved the problem of wave propagation, refection or transmission phenomena under rotation in piezo/pyro‐electrics.…”

Section: Introductionmentioning

confidence: 99%

Electric bias dependence of piezoelectric wave reflection upon a rotating half‐plane

Yuan

2019

Z Angew Math Mech

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“…Othman and Eraki [43] studied the effect of initial stress and magnetic field on thermoelastic interactions in half-space under mechanical and thermal loads. Yuan and Jiang [44] presented the initial stresses and rotation impacts on the wave reflection in the pyroelectric half-plane using the wave approach. Abo-Dahab et al [45] discussed the influence of the rotation, thermal field, initial stress, gravity field, electromagnetic, and voids on the reflection of the P wave under three models of generalized thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Effect of Hydrostatic Initial Stress on a Rotating Half-Space in the Context of a Two-Relaxation Power-Law Model

Aljadani

Zenkour

2022

Mathematics

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The simple and refined Lord–Shulman theories, the simple and refined Green–Lindsay theories as well as the coupled thermoelasticity theory were all employed to investigate the deformation of a rotating thermoelastic half-space. The present medium is subjected to initial pressure, bounded by hydrostatic initial stress and rotation. A unified heat conduction equation is presented. The normal mode strategy is applied to get all analytical expressions of temperature, stresses, and displacements. Some outcomes are tabulated to validate the present refined theories with the simple and classical thermoelasticity theories. The effect of hydrostatic initial stress was investigated on all field quantities of the rotating thermoelastic half-space with and without initial pressure. Two- and three-dimensional plots are illustrated in the context of refined theories to discuss the behaviors of all variables through the coordinate axes. Some particular cases of special interest have been deduced from the present investigation.

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Constant electric bias dependence of wave propagation in a rotating piezoelectric crystal

2020

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Reflection of plane waves from rotating pyroelectric half‐space under initial stresses

Cited by 3 publications

References 44 publications

Electric bias dependence of piezoelectric wave reflection upon a rotating half‐plane

Electric bias dependence of piezoelectric wave reflection upon a rotating half‐plane

Effect of Hydrostatic Initial Stress on a Rotating Half-Space in the Context of a Two-Relaxation Power-Law Model

Constant electric bias dependence of wave propagation in a rotating piezoelectric crystal

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