Energy Release Rates for an Interface Crack Embedded in a Laminated Beam Subjected to Three-Point Bending

[+] Author and Article Information
M. Toya, M. Aritomi, A. Chosa

Department of Mechanical Engineering, Kagoshima University, 1-21-40, Korimoto, Kagoshima 890, Japan

J. Appl. Mech 64(2), 375-382 (Jun 01, 1997) (8 pages) doi:10.1115/1.2787318 History: Received October 18, 1995; Revised May 24, 1996; Online October 25, 2007


Asymmetric three-point bending of a layered beam with an interface crack is analyzed on the basis of the classical beam theory. Axial forces induced by bending in the parts of the beam above and below the delamination are determined by regarding the cracked part as two lapped beams hinged at both ends. The compliance and the energy release rate are then derived. Numerical analyses based on the finite element method are carried out, which show that delamination growth occurs in mixed mode, i.e., both the normal separation (mode I) and mutual sliding (mode II) of the crack surfaces contribute to the fracturing process. Finally the decomposition of the energy release rate into mode I and mode II components is made by combining the analysis of the energy release rates by Toya (1992) and the two-dimensional linear beam solutions by Suo and Hutchinson (1990).

Copyright © 1997 by The American Society of Mechanical Engineers
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