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Li, Xing; Liu, Junqiao

Scattering of the SH wave from a crack in a piezoelectric substrate bonded to a half-space of functionally graded materials. (English) Zbl 1184.74038

Acta Mech. 208, No. 3-4, 299-308 (2009).
Summary: We study the scattering of SH waves from a crack in a piezoelectric substrate which is bonded to a half-space of functionally graded materials. The governing equations along with regularity and continuity conditions across the interface are reduced to a coupled set of Cauchy singular integral equations which are solved approximately by applying Chebyshev polynomials. Numerical results are presented on normalized dynamic stress intensity factors (NDSIF) and normalized electric displacement intensity factors (NEDIF). The effects of geometric and physical parameters, and the effects of frequency and angle of incidence on NDSIF and NEDIF are discussed.

Cited in 2 Documents

MSC:

74J20 Wave scattering in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74S30 Other numerical methods in solid mechanics (MSC2010)
74E05 Inhomogeneity in solid mechanics

Keywords:

Chebyshev polynomials; Cauchy singular integral equation; stress intensity factor; displacement intensity factor
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References:

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