Vol. 4, No. 4, 2009
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Acoustic emission from a surface-breaking crack in a layer under cyclic loading

Jan D. Achenbach
Vol. 4 (2009), No. 4, 649–657
DOI: 10.2140/jomms.2009.4.649
Abstract

An isotropic, homogeneous, elastic layer is subjected to a time-harmonic tensile stress of constant amplitude parallel to the free surfaces. The cyclic stresses are assumed to generate a surface-breaking crack of length l(t) which propagates normally to the top surface of the layer. The unloading of the crack faces generates acoustic emission, which is composed of Lamb waves. The elastodynamic reciprocity theorem for time-harmonic waves is used to determine the amplitudes of the radiated system of time-harmonic Lamb waves.

Keywords
layer, crack, cyclic loading, acoustic emission, reciprocity theorem
Milestones
Received: 18 December 2007
Accepted: 4 March 2008
Published: 7 August 2009
Authors
Jan D. Achenbach
Center for Quality Engineering and Failure Prevention
Northwestern University
2137 N. Tech Drive
Evanston, IL 60208
United States
http://www.mech.northwestern.edu/web/people/faculty/achenbach.php