A new model for fracture analysis of functionally graded coatings under plane deformation

✍ Scribed by Gan-Yun Huang; Yue-Sheng Wang; Shou-Wen Yu

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 447 KB
• Volume: 37
• Category: Article
• ISSN: 0167-6636
• DOI: 10.1016/j.mechmat.2004.04.005

✦ Synopsis

A new multi-layered model for fracture analysis of functionally graded materials (FGMs) with arbitrarily varying YoungÕs modulus and PoissonÕs ratio under plane stress-state deformation has been developed. In this model, the FGM is divided into several sub-layers and in each sub-layer both YoungÕs modulus and PoissonÕs ratio are assumed to be a linear function of the depth and are continuous on the sub-interfaces. With this new model, an interface crack problem of a functionally graded coating bonded to a homogeneous half-plane under normal and shear loading is investigated. Employment of transfer matrix method and Fourier integral transform technique reduces the problem to a system of Cauchy singular integral equations which are solved numerically. Stress intensity factors (SIFs) of an interface crack are obtained for various forms of YoungÕs modulus and PoissonÕs ratio. The results reveal that the present model is very efficient and that the form of the YoungÕs modulus influences the SIFs much.