Erratum: ‘‘Reflection and transmission of plane elastic waves at the boundary between piezoelectric materials and water’’[J. Acoust. Soc. Am. 67, 1947–1953 (1980)]

1983 ◽  
Vol 74 (2) ◽  
pp. 655-655
Author(s):  
Behzad Noorbehesht ◽  
Glen Wade
Keyword(s):  
Elastic Waves ◽  
Piezoelectric Materials ◽  
Reflection And Transmission

scholarly journals Reflection and Transmission Phenomena in Poroelastic Plate Sandwiched between Fluid Half Space and Porous Piezoelectric Half Space

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Vishakha Gupta ◽  
Anil K. Vashishth
Keyword(s):  
Half Space ◽  
Elastic Waves ◽  
Piezoelectric Plate ◽  
Piezoelectric Materials ◽  
Incident Angle ◽  
Surrounding Medium ◽  
Amplitude Ratios ◽  
Governing Equations ◽  
Reflection And Transmission ◽  
Electric Potentials

The reflection and transmission of elastic waves in porous piezoelectric plate, overlying a porous piezoelectric half space and underlying a fluid half space, is studied. The constitutive and governing equations are formulated for porous piezoelectric materials. The expressions for the mechanical displacements, electric displacements, stresses, and electric potentials are derived for porous piezoelectric plate, porous piezoelectric half space, and fluid half space. The boundary conditions are described for the studied model. The behaviour of reflected and transmitted amplitude ratios relative to frequency, incident angle, thickness, and porosity is observed numerically. The impedance mismatching problem between the dense piezoelectric materials and the surrounding medium can be solved by the inclusion of porosity in dense piezoceramics.

Reflection and transmission of elastic waves through nonlocal piezoelectric plates sandwiched in two solid half-spaces

2021 ◽  
Vol 168 ◽  
pp. 108306
Author(s):  
Cancan Liu ◽  
Jiangong Yu ◽  
Xianhui Wang ◽  
Bo Zhang ◽  
Xiaoming Zhang ◽  
...  
Keyword(s):  
Elastic Waves ◽  
Reflection And Transmission ◽  
Piezoelectric Plates

Reflection and transmission of elastic waves in a system of corrugated layers

1967 ◽  
Vol 57 (3) ◽  
pp. 393-419
Author(s):  
A. Levy ◽  
H. Deresiewicz
Keyword(s):  
Incident Wave ◽  
Elastic Waves ◽  
Scattered Field ◽  
Single Layer ◽  
Body Waves ◽  
Numerical Computations ◽  
Plane Body ◽  
Reflection And Transmission ◽  
Plane Parallel

abstract The scattered field generated by normally incident body waves in a system of layers having small, but otherwise arbitrary, periodic deviations from plane parallel boundaries is shown to consist of superposed plane body and surfacetype waves. Results of numerical computations for two like half-spaces separated by a sinusoidally corrugated single layer, and by two layers, reveal the variation of the amplitude of the field with ratios of velocities, densities, impedances, and with those of depth of layers and wavelength of the boundary corrugations to the wavelength of the incident wave.

Reflection and Transmission Coefficients of Plane Waves in Magnetoelectroelastic Layered Structures

2008 ◽  
Vol 130 (3) ◽  
Author(s):  
J. Y. Chen ◽  
H. L. Chen ◽  
E. Pan
Keyword(s):  
Piezoelectric Materials ◽  
Plane Waves ◽  
Layered Structures ◽  
Organic Glass ◽  
Reflection And Transmission Coefficients ◽  
Material Structure ◽  
Layered System ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Novel Material

Reflection and transmission coefficients of plane waves with oblique incidence to a multilayered system of piezomagnetic and/or piezoelectric materials are investigated in this paper. The general Christoffel equation is derived from the coupled constitutive and balance equations, which is further employed to solve the elastic displacements and electric and magnetic potentials. Based on these solutions, the reflection and transmission coefficients in the corresponding layered structures are subsequently obtained by virtue of the propagator matrix method. Two layered examples are selected to verify and illustrate our solutions. One is the purely elastic layered system composed of aluminum and organic glass materials. The other layered system is composed of the novel magnetoelectroelastic material and the organic glass. Numerical results are presented to demonstrate the variation of the reflection and transmission coefficients with different incident angles, frequencies, and boundary conditions, which could be useful to nondestructive evaluation of this novel material structure based on wave propagations.

Reflection and Transmission by a Periodic Array of Coplanar Cracks: Normal and Oblique Incidence

1993 ◽  
Vol 60 (4) ◽  
pp. 911-919 ◽  
Author(s):  
Yozo Mikata
Keyword(s):  
Elastic Waves ◽  
Oblique Incidence ◽  
Numerical Results ◽  
Periodic Array ◽  
Fourier Series Expansion ◽  
Periodic Case ◽  
Single Crack ◽  
Reflection And Transmission ◽  
Numerical Integrations ◽  
Coplanar Cracks

Scattering of in-plane elastic waves by a periodic array of coplanar cracks is investigated. This problem was first treated by Angel and Achenbach. The method of their solution was based on the Fourier series expansion of the Green-Lame potentials. In this paper, we have extended van der Hijden and Neerhoff’s treatment of scattering of in-plane elastic waves by a single crack to the periodic case. Major advantages of our treatment over Angel and Achenbach are: (1) the formulation is relatively simple, straightforward, and unified for both normal and oblique incidence, and (2) more importantly, there is no need for numerical integrations, because all the integrations involved in the formulation can be analytically evaluated thanks to the periodicity of the problem and the coplanarity of the cracks. Numerical results are presented and compared with those of Angel and Achenbach. Some new numerical results are also presented.

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