Rayleigh-type wave propagation through liquid layer over corrugated substrate

doi:10.1007/s10483-017-2205-8

Abstract

Abstract:

The propagation of the Rayleigh-type wave in a fluid layer overlying a corrugated substrate is studied. The corrugated substrate is considered as a fluid saturated poroelastic substrate and a quadratically heterogeneous isotropic elastic substrate in Case Ⅰ and Case Ⅱ, respectively. Closed form expressions of dispersion relation for Case Ⅰ and Case Ⅱ are obtained. The influence of corrugation, porosity, and heterogeneity on the phase velocity of Rayleigh-type wave, for both cases, is highlighted and demonstrated through numerical computation and graphical discussion. Neglecting corrugation at the common interface, expressions of phase velocity of the Rayleigh-type wave for both cases are derived in a closed form as a special case of the problem. Comparison between the presence and the absence of both heterogeneity and poroelasticity in the substrate of the composite structure is a key in the present study.

Key words: piezoelectric medium, plane wave decomposition method, electroelastic field. fundamental solution, porosity, Rayleigh-type wave, heterogeneity, corrugation

2010 MSC Number:

74J15

A. K. SINGH, A. DAS, A. RAY. Rayleigh-type wave propagation through liquid layer over corrugated substrate. Applied Mathematics and Mechanics (English Edition), 2017, 38(6): 851-866.

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