3D dynamic stress intensity factors around two parallel square cracks in an infinite elastic medium under impact load |
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Authors: | S Itou |
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Institution: | (1) Department of Mechanical Engineering, Kanagawa University Rokkakubashi, Kanagawa-ku, Yokohama, 221-8686, Japan Fax: +81(45)491-7915, e-mail: itous001@kanagawa-u.ac.jp, JP |
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Abstract: | Summary Transient stresses around two parallel cracks in an infinite elastic medium are investigated in the present paper. The shape
of the cracks is assumed to be square. Incoming shock stress waves impinge upon the two cracks normal to tzheir surfaces.
The mixed boundary value equations with respect to stresses and displacements are reduced to two sets of dual integral equations
in the Laplace transform domain using the Fourier transform technique. These equations are solved by expanding the differences
in the crack surface displacements in a double series of a function that is equal to zero outside the cracks. Unknown coefficients
in the series are calculated using the Schmidt method. Stress intensity factors defined in the Laplace transform domain are
inverted numerically to the physical space. Numerical calculations are carried out for transient dynamic stress intensity
factors under the assumption that the shape of the upper crack is identical to that of the lower crack.
Received 2 February 2000; accepted for publication 10 May 2000 |
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Keywords: | Dynamic stress intensity factor square crack transient stress Schmidt method numerical Laplace inversion |
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