Effective Toughness of Damaged Solids Containing Ribbon Cracks
Publication: Journal of Engineering Mechanics
Volume 128, Issue 7
Abstract
The crack-tip toughness of materials with two-dimensional random orientation of ribbon cracks is evaluated theoretically. The effective elastic moduli reduce when the cracks exist within the isotropic material so as to enhance the material toughness. The results show that the crack density and the Poisson ratio of the matrix dominate the behavior of the overall effective toughness. As crack density the toughness increment is 0.44–0.48 of the original toughness approximately, but three out of five moduli, and reduce at least 0.57 of their moduli. The explicit forms of the crack-tip toughness and five transversely isotropic moduli of the material containing ribbon cracks are also shown.
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Copyright © 2002 American Society of Civil Engineers.
History
Received: Oct 23, 2000
Accepted: Jan 23, 2002
Published online: Jun 14, 2002
Published in print: Jul 2002
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