A concentric penny-shaped crack off the middle plane of a finite orthotropic cylinder under torsional shear stress

✍ Scribed by X.S. Zhang; YU. Zhang

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 501 KB
• Volume: 31
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(88)90082-3

✦ Synopsis

In this article, we shall provide the mathematical analytical method for treating the problem of a concentric penny-shaped crack off the middle plane of a finite orthotropic cylinder for mode III. Without the traditional assumption that the cracked-body is infinite, the general solution to the mixed boundary value problem can be found by means of the basic theorem of the Hankel transform and Fourier series. The result of its stress intensity factor may be described by a Fredholm integral equation of the second kind or expressed by a practical series as the shear stress on the crack surface is specified. It is easy to verify that all of the solution of a concentric penny-shaped crack off the middle plane of a long orthotropic cylinder and in a circular plate of infinite radius are special cases of this problem. [Etagng Fracture Mech. 22, 571 (1985)] Of course, the result in the paper by Zhang study. can also be deduced from the general solution in this 1. BASIC EQUATIONS