The Energy Process of Pyroelectric Medium

Yuan, Xunhui

doi:10.1080/01495731003733094

Cited by 13 publications

(8 citation statements)

References 22 publications

(30 reference statements)

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“…In addition, we can define the energy coefficients of different wave modes as follows

κ^{(i)} = \frac{(〈〉, P_{⊥}^{(i)})}{(〈〉, P_{⊥}^{(0)})}

where

⟨ P_{⊥}^{(i)} ⟩

is the vertical component of averaged energy flux in one period at the boundary. In In the case of pyroelectric body, the energy flux is defined as

P_{i} = - σ_{j i} {\overset{u}{true}}_{j} + ϕ {\overset{D}{true}}_{i} - κ_{i j} θ_{, j} \frac{θ}{T_{0}} .

…”

Section: The Reflection Waves Upon the Free Boundary Surfacementioning

confidence: 99%

“…Yuan and Li analyzed the wave propagation in a rotating pyroelelctric body in the presence of initial stresses or not. Further, it is of interest to investigate the wave reflection upon the boundary surface of pyroelectric medium with the inhomogeneous wave theory .…”

Section: Introductionmentioning

confidence: 99%

“…is the vertical component of averaged energy flux in one period at the boundary. In In the case of pyroelectric body, the energy flux is defined as [35]…”

Section: Introductionmentioning

confidence: 99%

“…Reflection of plane waves from rotating pyroelectric half-space under initial stresses Fig. 1 Illustration of equiphase and equiamplitude planes and exponential variation of the amplitude along the phase propagation direction.is of interest to investigate the wave reflection upon the boundary surface of pyroelectric medium with the inhomogeneous wave theory [34][35][36][37].Additionally, the initial stress is unavoidable due to various reasons, such as the difference of temperature, process of quenching, slow process of creep, differential external forces, gravity variations, different material properties, thermal expansion coefficients and the shrinkage and growth during the processing at different temperature. Meanwhile, to prevent the piezoelectric material from brittle fracture, structure is usually pre-stressed during the manufacture process.…”

mentioning

confidence: 99%

“…is of interest to investigate the wave reflection upon the boundary surface of pyroelectric medium with the inhomogeneous wave theory [34][35][36][37].…”

mentioning

confidence: 99%

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

Yuan

Jiang

2016

Z Angew Math Mech

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This paper addresses the initial stresses and rotation effects on the wave reflection in the pyroelectric half‐plane using inhomogeneous wave approach. The rotation in the governing pyroelectric equation is characterized by considering the Coriolis and centrifugal accelerations, and the initial stresses are included by modifying the elasticity tensor. A scenario is modelled where a quasi‐longtitudinal wave is incident on free boundary surface, resulting into reflected waves like temperature wave, quasi‐transverse wave, quasi‐longitudianal wave, and surface wave. Attenuation angle, initial stresses, and rotation's impacts on the velocity, attenuation, and energy coefficients of reflected wave are presented.

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“…In addition, we can define the energy coefficients of different wave modes as follows

κ^{(i)} = \frac{(〈〉, P_{⊥}^{(i)})}{(〈〉, P_{⊥}^{(0)})}

where

⟨ P_{⊥}^{(i)} ⟩

is the vertical component of averaged energy flux in one period at the boundary. In In the case of pyroelectric body, the energy flux is defined as

P_{i} = - σ_{j i} {\overset{u}{true}}_{j} + ϕ {\overset{D}{true}}_{i} - κ_{i j} θ_{, j} \frac{θ}{T_{0}} .

…”

Section: The Reflection Waves Upon the Free Boundary Surfacementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…is the vertical component of averaged energy flux in one period at the boundary. In In the case of pyroelectric body, the energy flux is defined as [35]…”

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

“…is of interest to investigate the wave reflection upon the boundary surface of pyroelectric medium with the inhomogeneous wave theory [34][35][36][37].…”

mentioning

confidence: 99%

See 3 more Smart Citations

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

Yuan

Jiang

2016

Z Angew Math Mech

Self Cite

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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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Effects of rotation and initial stresses on pyroelectric waves

Yuan

2015

Arch Appl Mech

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The Energy Process of Pyroelectric Medium

Cited by 13 publications

References 22 publications

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

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

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

Effects of rotation and initial stresses on pyroelectric waves

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