Zener–Stroh crack at the interface of multi-layered structures
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A Zener–Stroh (Z–S) crack can be nucleated on the interface of a multi-layered structure when a dislocation pileup is stopped by the interface which works as an obstacle. During the entire fracture of a crack, Z–S crack mechanism controls the initial stage, or the first phase of crack initiation and propagation. In our current research, investigation on a Z–S crack at the interface of a multi-layered structure is carried out. The problem is formulated into a set of singular integral equations by applying the distributed dislocation based fracture mechanics. The obtained integral equations are then solved with numerical method after the singularities at crack tips are carefully checked. In the solution procedure, the contact zone model is adopted to cease the oscillation behavior. The contact zone length, the stress field near the crack tips and the stress intensity factors (SIFs) of the crack are discussed based on the numerical results of two typical structures. It was found that the contact zone length could be very large and was determined by the properties of all the three materials and loading conditions. Our analysis also shows that the thickness of the middle thin layer plays a critical role for the fracture behavior of the crack when it is comparable to the crack length.
KeywordsContact zone multi-layered structures stress intensity factors Zener–Stroh crack
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- Cottrell, A.H. 1958Theory of brittle fracture in steel and similar metalsTransaction of the Metallurgical Society of the AIME212192203Google Scholar
- Erdogan, F., Gupta, G.D. 1972On the numerical solution of singular integral equationsQuarterly of Applied Mathematics30525534Google Scholar
- Hills, D.A., Kelly, P.A., Dai, D.N., Korsunsky, A.M. 1996Solution of Crack Problems, The Distributed Dislocation TechniqueKluwer Academic PublishersDeordrechtGoogle Scholar
- Krenk, S. 1975On the use of the interpolation polynomial for solutions of singular integral equationsQuarterly of Applied Mathematics32479484Google Scholar
- Stroh, A.N. 1954The formation of cracks as a result of plastic flow, IProceedings of the Royal Society of London A223404414Google Scholar
- Xiao, Z.M. and Zhao, J.F. (2004). A Zener–Stroh crack at the interface of a thin film bonded to substrate, in press.Google Scholar
- Zener, C. (1948). The micro-mechanism of fracture. Fracturing of Metals. American Society of Metals, Cleveland pp. 3–31.Google Scholar