On the Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media

The paper discusses the properties of the acoustic waves guided by an interface inside piezoelectric media. The interfaces of two types have been considered: (i) an infinitesimally thin metallic layer inserted into homogeneous piezoelectric crystal of arbitrary symmetry; (ii) rigidly bonded crystals whose piezoelectric coefficients differ by sign while the other material constants are identical. Several general theorems have been proved regarding the existence of interface acoustic waves (IAWs) propagating more slowly than bulk waves. In particular, a sufficient condition for the existence of such ‘slow’ IAWs has been derived. The propagation of leaky IAWs has been studied. Special attention has been paid to the analysis of the situation when the imaginary component of the leaky IAW velocity vanishes, resulting in the appearance of non-attenuating IAWs travelling faster than the slow transverse bulk wave. The computations performed for LiNbO 3 and LiTaO 3 illustrate general conclusions.

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X-FEM Studies on an Inclined Crack in a 2-D Finite Piezoelectric Media

Lecture Notes in Electrical Engineering - Future Communication, Computing, Control and Management ◽

10.1007/978-3-642-27311-7_38 ◽

2012 ◽

pp. 285-290 ◽

Cited By ~ 1

Author(s):

R. R. Bhargava ◽

Kuldeep Sharma

Keyword(s):

Inclined Crack ◽

Piezoelectric Media

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Dynamics of Piezoelectric Media

Dynamics of Smart Structures ◽

10.1002/9780470710623.ch6 ◽

2010 ◽

pp. 187-240

Keyword(s):

Piezoelectric Media

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Fundamental solutions of two 3D rectangular semi-permeable cracks in transversely isotropic piezoelectric media based on the non-local theory

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-09-2019-0169 ◽

2020 ◽

Vol 16 (6) ◽

pp. 1497-1520

Author(s):

Haitao Liu ◽

Liang Wang

Keyword(s):

Electric Displacement ◽

Transversely Isotropic ◽

Elastic Behavior ◽

Classical Solutions ◽

Local Theory ◽

Dual Integral Equations ◽

Piezoelectric Media ◽

Content Type ◽

Present Solution ◽

Non Local

PurposeThe paper aims to present the non-local theory solution of two three-dimensional (3D) rectangular semi-permeable cracks in transversely isotropic piezoelectric media under a normal stress loading.Design/methodology/approachThe fracture problem is solved by using the non-local theory, the generalized Almansi's theorem and the Schmidt method. By Fourier transform, this problem is formulated as three pairs of dual integral equations, in which the elastic and electric displacements jump across the crack surfaces. Finally, the non-local stress and the non-local electric displacement fields near the crack edges in piezoelectric media are derived.FindingsDifferent from the classical solutions, the present solution exhibits no stress and electric displacement singularities at the crack edges in piezoelectric media.Originality/valueAccording to the literature survey, the electro-elastic behavior of two 3D rectangular cracks in piezoelectric media under the semi-permeable boundary conditions has not been reported by means of the non-local theory so far.

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