1. Self-similar problem of a penny-shaped crack subjected to pure torsion
- Author
-
Chen Mei-Rong and Chung Yen-Ling
- Subjects
business.industry ,Mechanical Engineering ,Mathematical analysis ,Crack tip opening displacement ,Torsion (mechanics) ,Constant speed ,Structural engineering ,Constant torque ,Superposition principle ,Mechanics of Materials ,Tearing ,General Materials Science ,business ,Intensity factor ,Dynamic stress ,Mathematics - Abstract
The solution of a penny-shaped crack in an infinite body subjected to pure torsion is carried out. It is assumed that at time t ⩾ 0, a penny-shaped flaw begins to propagate uniformly along the surface y = 0 with a constant speed s which is smaller than the SH-wave speed. This penny-shaped crack is twisted about the y -axis by a constant torque acting at y = ± ∞ of the body. By using the method of the rotational superposition in conjunction with the Smirnov-Sobolev method of self-similar potentials for the two-dimensional problems, the solution of this problem is obtained. The dynamic stress intensity factor and the crack tearing displacement are also evaluated.
- Published
- 1994
- Full Text
- View/download PDF