Vol. 1, No. 3, 2006

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A higher-order theory for crack growth in fiber-metal laminates under generalized plane-stress conditions

Xijia Wu, Zhong Zhang and J. Laliberté

Vol. 1 (2006), No. 3, 431–445
Abstract

Fiber-metal laminates (FML) are hybrid materials that consist of alternating layers of metal and fiber-reinforced prepreg. The classical plane-stress theory has difficulty in dealing with the fatigue fracture of such materials where the crack only grows in the metal layers, while the prepreg layers remain intact. In this paper, a new theoretical treatment is given to FML under generalized plane-stress conditions. The new theory introduces a harmonic anti-plane-stress potential p to describe the interlaminar stresses near the crack tips and the “bridging” effect of the unbroken fibers along the crack wakes. An analytical solution is derived for GLARE-3 (32) containing collinear cracks with length 2a0 (the initial crack length) in the prepreg and length 2a in the aluminum layer. The effective stress intensity factor is obtained in a closed form, and the theoretical prediction is compared with the experimental behavior obtained from fatigue crack growth testing of center-notched specimens.

Keywords
fiber-metal laminate, stress intensity factor
Milestones
Received: 10 October 2005
Revised: 16 December 2005
Accepted: 6 January 2006
Published: 1 July 2006
Authors
Xijia Wu
Structures and Materials Performance Laboratory
Institute for Aerospace Research
National Research Council of Canada
1200 Montreal Road, M-13
Ottawa, ON K1A OR6
Canada
Zhong Zhang
Department of Mechanical and Aerospace Engineering
Carleton University
1125 Coloniel By Drive
Ottawa, ON K1S 5B6
Canada
J. Laliberté
Structures and Materials Performance Laboratory
Institute for Aerospace Research
National Research Council of Canada
1200 Montreal Road, M-13
Ottawa, ON K1A OR6
Canada