On the existence problem for localized acoustic waves on the interface between two piezocrystals

Transient Waves on the Free Surface of a Viscoelastic Anisotropic Half-Space

“…These conditions become equivalent if N (1) 0α = 0 and coincide with the existence condition for purely elastic solids. However, in view of equations (4.8), the quantities p (1) 0α are the same for both modes and the propagation properties of one mode do not differ from those of the opposite mode.…”

“…Multiplicating by ξ (0) we have ξ (0) · N (1) 0 ξ (0) = µ (1) 0 ξ (0) 2 and, in correspondence with one of the three eigenvalues µ 0α satisfying inequality (4.5), we obtain…”

“…Independently on the outcome of this evaluation, equation (5.2) represents a superposition of transient inhomogeneous plane waves. The wave fronts of each mode are given by q 0 σ + ζ (0) α η = const, the planes of constant amplitude read q 1 σ + ζ (1) α η = const, and the wave speed of each mode is…”

“…In the Stroh formalism the mechanical displacement and the traction are taken to be independent quantities and the governing equations for monochromatic fields are reduced to a six-dimensional eigenvalue problem. The analysis of this problem has been successfully exploited to answer questions such as the existence, the evaluation of speed and the polarization properties of bulk, surface and interfacial waves in elastic and electroelastic media (see the review article of Barnett [2], the book by Ting [21] and references therein and, in particular, the papers [18,8,3,4,6,1]). From a general point of view these results are of great interest in wide domains of physical and engineering sciences such as geophysics, crystal acoustics, electroacoustic properties of piezoelectric devices and non-destructive testing of materials.…”

Propagation of slip pulse along frictionless contact interface with local separation between two piezoelectric solids

“…[10] However, so far, few studies on the propagation of slip waves along the contact interface in piezoelectric media have been published. Alshits [12] and Darinskii [13] analyzed the linear problem of slip waves propagating along a contact interface in piezoelectric media without considering the local separation. In this article, the authors devote to the slip pulse propagating along a contact interface with local separation.…”