The stress concentration around a semi-infinite cylindrical crack during the shock loading of an elastic medium by a centre of rotation

✍ Scribed by N.D. Vaisfel'd; G.Ya. Popov

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 591 KB
• Volume: 65
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(01)00056-9

✦ Synopsis

The problem of the concentration of elastic stresses in an unbounded elastic medium containing a semi-infinite cylindrical crack is solved using the method of discontinuous solutions. The method enables the problem to be reduced to a one-dimensional integrodifferential equation in the unknown jump in displacements in Laplace transform space. The solution of the equation obtained is based on the combined use of orthogonal functions and time sampling of the equation, which leads to an infinite system of linear algebraic equations. As a result, a wave field disturbed by a crack is constructed, and a formula is obtained for calculating the stress intensity factor. The wave field is analysed numerically, and a graph of the stress intensity factor as a function of time is plotted.