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Fracture behavior of short-fiber reinforced materials

Published online by Cambridge University Press:  31 January 2011

Michael Murat ,
Micha Anholt  and
H. Daniel Wagner
Michael Murat
Affiliation:
Department of Physics and Applied Mathematics, Soreq Nuclear Research Center, Yavne 70600, Israel
Micha Anholt
Affiliation:
Department of Physics and Applied Mathematics, Soreq Nuclear Research Center, Yavne 70600, Israel
H. Daniel Wagner
Affiliation:
Department of Materials and Interfaces, The Weizmann Institute of Science, Rehovot 76100, Israel
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Abstract

A discrete model of springs with bond-bending forces is proposed to simulate the fracture process in a composite of short stiff fibers in a softer matrix. Both components are assumed to be linear elastic up to failure. We find that the critical fiber length of a single fiber composite increases roughly linearly with the ratio of the fiber elastic modulus to matrix modulus. The finite size of the lattice in the direction perpendicular to the fiber orientation considerably alters the behavior of the critical length for large values of the modulus ratio. The simulations of the fracture process reveal different fracture behavior as a function of the fiber content and length. We calculate the Young's modulus, fracture stress, and the strain at maximum stress as a function of the fiber volume fraction and aspect ratio. The results are compared with the predictions of other theoretical studies and experiments.

Type
Articles
Information
Journal of Materials Research , Volume 7 , Issue 11 , November 1992 , pp. 3120 - 3131
Copyright
Copyright © Materials Research Society 1992

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