Three coplanar Griffith cracks in an infinite elastic strip

✍ Scribed by B. M. Singh; R. S. Dhaliwal

• Publisher: Springer Netherlands
• Year: 1982
• Tongue: English
• Weight: 475 KB
• Volume: 12
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00043708

✦ Synopsis

We consider the problem of determining the stress intensity factors and crack energy in an infinitely long isotropic, homogeneous elastic strip containing three coplanar Griffith cracks. The three coplanar Grittith cracks are situated symmetrically on a line perpendicular to the edges of the strip. We assume that the cracks are opened by an internal pressure and the edges of the strip are fixed. By using the theory of Fourier series we reduce the problem to solving a set of quadruple trigonometrical series equations with a cosine kernel. Closed form solution is obtained for the quadruple series equations. Closed form analytical expressions are derived for the stress intensity factors, the shape of the deformed cracks and the crack energy. Solutions to some particular problems are derived as limiting cases.