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A rectangular sheet with a central crack excited by a normal anti-plane shear wave

โœ Scribed by S.W. Ma; X.S. Zhang


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
421 KB
Volume
30
Category
Article
ISSN
0013-7944

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โœฆ Synopsis


A rectangular sheet containing a central crack subjected to a normally incident anti-plane shear wave, is discussed in this paper. With the aid of the basic theorem of the Fourier transform and Fourier series, the solution of the dynamic stress intensity factor of this problem may be given by means of the result of a Fredholm integral equation of the second kind. It is easily proved that the problems of a strip with a central crack parallel perpendicular to the edges of the strip excited by a normally incident anti-plane shear wave, are the special cases of the solution in this study.


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## Abstrsel-Application of the basic theorem of the Fourier cosine transform and Fourier sine series to this study, we can find the general solution of an eccentric crack normal to two interfaces among three layers in a finite rectangular sheet loaded by an arbitrary longitudinal shear stress. It