Tip behaviour for cracks in bonded inhomogeneous materials

✍ Scribed by P. A. Martin

• Book ID: 104620168
• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 578 KB
• Volume: 26
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00042764

✦ Synopsis

Consider two isotropic elastic half-spaces, welded together with a pressurized crack meeting the weld perpendicularly. A method is developed for determining the asymptotic behaviour of the crack-opening displacement near the tips of the crack. Two problems are considered in detail. In the first, the half-spaces are composed of different homogeneous materials. In the second, the uncracked half-space is inhomogeneous, with a shear modulus that varies exponentially. Each problem is reduced to a hypersingular integral equation, which is then subjected to a Mellin transform. Extensions of the method to other materials and configurations are suggested.