A central crack in a rectangular sheet where its boundary is subjected to an arbitrary anti-plane load

✍ Scribed by S.W. Ma

• Book ID: 103069734
• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 499 KB
• Volume: 30
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(88)90054-9

✦ Synopsis

By use of the Fourier transform and Fourier series, this paper discusses the general solution of the stress intensity factor in a rectangular sheet containing a mode III central crack, where its boundary is subjected to an arbitrary anti-plane load. As the examples of numerical computing, gives the results of all kinds of rectangular sheets carrying a concentrated shear force S and uniformly distributed shear stress T. From these results, we can find that (1) all of the stress intensity factors km are alike for concentrated loads having different applied points on a strip with a central crack perpendicular to its edges; (2) if the ratio n : b of the length of a crack and the width of the rectangular sheet is larger than a definite value, these factors will produce a wave, i.e. they first decrease gradually, and then increase very quickly following the height h of the sheet becoming less and less unless the concentrated load acts on the center of the crack.