Utilization of guided elastic waves for the characterization of circumferential cracks in hollow cylinders
作者:
John J. Ditri,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1994)
卷期:
Volume 96,
issue 6
页码: 3769-3775
ISSN:0001-4966
年代: 1994
DOI:10.1121/1.410565
出版商: Acoustical Society of America
关键词: ELASTIC WAVES;SCATTERING;SCATTERING AMPLITUDES;CYLINDERS;CRACKS;WAVEGUIDES;ACOUSTIC TESTING;DISPLACEMENTS
数据来源: AIP
摘要:
The scattering of guided elastic waves from a circumferential crack in an isotropic hollow cylinder is investigated analytically using theS‐parameter formalism. A general formula, analogous to that of [B. A. Auld,AcousticFieldsandWavesinSolids(Krieger, Malabar, FL, 1990), 2nd ed., Vol. II, p. 200], is derived for the scattered amplitude of an arbitrary mode due to the incidence of an arbitrary mode. The amplitudes are expressed as an integral of the inner product of the crack opening displacement caused by the incident mode and the traction field of the scattered mode. Using a simple approximate form of known elastostatic solutions for the crack opening displacements due to pure tension, a formula is derived for the scattering of guided wave modes of arbitrary circumferential order due to the incidence of axisymmetric wave modes with large wavelength and uniform stress distribution. These results are analyzed and conclusions drawn on the possibility of crack sizing using relatively simple scattering amplitude information.
点击下载:
PDF
(920KB)
返 回