Open Access

ARTICLE

2D Wave Scattering by a Crack in a Piezoelectric Plane Using Traction BIEM

D. Gross¹, T. Rangelov², P. Dineva³

1 Institute of Mechanics, Darmstadt University of Technology, 64289 Darmstadt, Germany.
2 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria.
3 Institute of Mechanics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria.

Structural Durability & Health Monitoring 2005, 1(1), 35-48. https://doi.org/10.3970/sdhm.2005.001.035

Abstract

Scattering of time harmonic waves by a finite crack in a homogeneous piezoelectric plane under plane strain conditions is studied. Using generalized displacements and tractions, the problem is described by a non-hypersingular traction based boundary integral equation method (BIEM). The fundamental solution is derived in closed form by Radon transforms. As a typical example, the procedure is applied to a straight crack under incident longitudinal waves and under vertically polarized shear waves. The K-factor results are compared with those from the literature for a special case. Furthermore, their dependence on parameters like frequency, angle of incidence, wave type and material properties is discussed.

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