The Fiber-Matrix Interface Crack

[+] Author and Article Information
R. Chao

Department of Naval Architecture and Marine Engineering, National Cheng Kung University, Tainan, Taiwan

N. Laws

Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA 15261

J. Appl. Mech 64(4), 992-999 (Dec 01, 1997) (8 pages) doi:10.1115/1.2789011 History: Received October 15, 1996; Revised April 25, 1997; Online October 25, 2007


The problem of an interface crack between a circular fiber and the surrounding matrix is considered. The problem is formulated and solved with the help of complex variable methods. It is essential to take into account the existence of contact zones at the crack tips. The solution procedure relies on the use of crack opening displacements as the primary variables. Ultimately the governing equations are shown to consist of two coupled singular integral equations together with contact and single valuedness conditions. In general these equations must be solved by numerical methods. Attention is focused on the lengths of the contact zones. It is shown that the lengths of these contact zones are essentially independent of one of the Dundurs parameters.

Copyright © 1997 by The American Society of Mechanical Engineers
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