Two co-planar Griffith cracks moving along the interface of two dissimilar elastic media

✍ Scribed by A.N. Das; M.L. Ghosh

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 570 KB
• Volume: 41
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(92)90095-v

✦ Synopsis

AImtract-In this paper, the distribution of stress and displacement due to propagation of two parallel and co-planar Grilhth cracks with constant velocity under antiplane shear stress at the interface of two dissimilar elastic media are presented. In the lirst case, cracks are assumed to propagate along the interface of two dissimilar intinite elastic half-spaces. In the second case, the problem of propagation of two co-planar Gri5th cracks with uniform velocity at the interface of a layered composite has been treated. Cracks are assumed to be moving at the interface of a layer of thickness h and a semi-intinite substrate of different material. By the use of Fourier transform the problems have been reduced to the solution of a set of triple integral equations which have been solved by using the finite Hilbert transform technique. In the second problem, analytical solutions up to the order h -4, where h 9 1, have been derived for both the crack opening displacement and the stress intensity factors. Numerical results are also shown graphically.