Reflection in a highly anisotropic medium for three-dimensional plane waves under initial stresses

Chatterjee, Mita; Dhua, Sudarshan; Sahu, Sanjeev A.; Chattopadhyay, Amares

doi:10.1016/j.ijengsci.2014.08.010

Cited by 40 publications

(8 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

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

Yuan

2019

Z Angew Math Mech

View full text Add to dashboard Cite

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

show abstract

“…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%

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

Yuan

2019

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…Chatterjee et al. considered the reflection of three‐dimensional plane waves at a traction free boundary of a half‐space composed of triclinic crystalline material under initial stresses. Guo and Wei studied the effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, Othman and Song [38] formulated the basic governing equations for isotropic and homogeneous generalized thermoelastic half-space under hydrostatic initial stress in the context of the Green and Naghdi theory, and investigated thermal wave, P-wave and an SV-wave. Chatterjee et al [39] considered the reflection of three-dimensional plane waves at a traction free boundary of a half-space composed of triclinic crystalline material under initial stresses. Guo and Wei [40] studied the effects of initial stress on the reflection and transmission waves at the interface between two piezoelectric half spaces.…”

mentioning

confidence: 99%

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

Yuan

Jiang

2016

Z Angew Math Mech

View full text Add to dashboard Cite

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.

show abstract

“…Internal buckling is a type of instability that may occur in a homogeneous medium of infinite extent under initial stress (Bigoni et al, 2007). Some recent works considering initially stressed media have been done by Chatterjee et al (2014Chatterjee et al ( , 2015. The stability analysis of the elastic half space is restricted to the case of a medium which is isotropic for incremental plane strain (Biot, 1963).…”

Section: Introductionmentioning

confidence: 99%

Response of moving load due to irregularity in slightly compressible, finitely deformed elastic media

Chatterjee

Dhua

Chattopadhyay

2015

Mechanics Research Communications

Self Cite

View full text Add to dashboard Cite

Reflection in a highly anisotropic medium for three-dimensional plane waves under initial stresses

Cited by 40 publications

References 26 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

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

Response of moving load due to irregularity in slightly compressible, finitely deformed elastic media

Contact Info

Product

Resources

About