Analysis of multiple interfacial cracks in an orthotropic bi-material subjected to anti-plane shear loading

✍ Scribed by M.S. Matbuly; M. Nassar

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 559 KB
• Volume: 76
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/j.engfracmech.2009.02.023

✦ Synopsis

The present work concerns with the elasto-static problem of double interfacial cracks located between two dissimilar orthotropic plates. The dimensions of the bi-material composite, are assumed to be finite. The crack faces are subjected to anti-plane shear traction. Finite Fourier transforms are applied to reduce the problem to a triple series equations, and then to a system of singular integral equations with Cauchy type singularity. That are solved numerically using Gauss-Chebyshev integration formulae. The stress intensity factors, are determined in a closed form expressions. The obtained results agreed with the previous analytical ones. Further, a parametric study is introduced to investigate the effects of the geometric and elastic characteristics of the composite on the values of the stress intensity factors.