Fracture Analysis of Shear Deformable Bi-Material Interface
Publication: Journal of Engineering Mechanics
Volume 132, Issue 3
Abstract
Based on a novel split bi-layer shear deformable beam model capable of capturing the local deformation at the crack tip, the explicit closed-form solutions of bi-material interface fracture are presented in this paper. A recently developed novel shear deformable bi-layer beam theory is briefly reviewed, from which the deformation at the crack tip is explicitly derived. A new expression for the energy release rate is then obtained using the integral, in which several new terms associated with the transverse shear force are present; this represents an improved solution compared to the one from the classical beam model. By exploiting the two concentrated crack tip forces, the general loadings acting at the crack tip are decomposed into two groups which produce only the mode I and mode II energy release rates, respectively; the total energy release rate is thus decomposed into the mode I and II components in a global sense. The stress intensity factor referred to as local decomposition is also obtained including the transverse shear effect. The difference between the global and local mode decompositions is clarified, and a simple relationship between them is provided. The effect of the existence of a thin layer of adhesive on the stress intensity factor is further studied by an asymptotic analysis. A simple and improved expression for the stress, the nonsingular term of stress at the crack tip, is also given. The fracture parameters of several commonly used interface fracture specimens are summarized. The present fracture analysis including the transverse shear effect is in better agreement with finite element analyses and shows advantages and improved accuracy over the available classical solutions.
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Acknowledgment
This study was partially supported by the National Science Foundation (Grant No. NSFCMS-0002829 under program director Dr. Ken P. Chong).
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 3 • March 2006
Pages: 306 - 316
Copyright
© 2005 ASCE.
History
Received: Nov 3, 2004
Accepted: May 26, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006
Notes
Note. Associate Editor: Yunping Xi
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