Diffraction of Shear Plane Electroelastic Wave on the Semi-Infinite Electrode in the Piezoelectric Space with Crack
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2010, Vol 63, Issue 1
Abstract
A piezoelectric medium consisting of two equal piezoelectric semi–space of 6mm class separated by vacuum layer is considered. An edge of lower semi–space is covered with semi–infinite metal coat (electrode). The problem of diffraction of shear plane electroelastic wave on the semi–infinite electrode propagated on the upper semi–space is investigated. The problem closed solution expressing the wave electroelastic field in every piezoelectric space and the meaning of electric potential in vacuum layer is built. Asymptotic equations determining behaviour of elastic displacement at distant areas of piezoelectric are obtained. The given equations in the form of discrete components consist of falling, reflected, surface (crack), inhomogeneous and three- dimensional waves. The concentration factor of electrical induction near the edge of electrode is calculated. In two special cases the solution of the problem is obtained in elementary functions.
Authors and Affiliations
Karo Aghayan, Eduard Grigoryan
Keywords
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