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Roughness Scaling of Fracture Surfaces in Polycrystalline Materials

Published online by Cambridge University Press:  15 March 2011

Eira T. Seppäaläa ,
Bryan W. Reed ,
Mukul Kumar ,
Roger W. Minich  and
Robert E. Rudd
Eira T. Seppäaläa
Affiliation:
Lawrence Livermore National Laboratory, L-415, Livermore, CA 94551, U.S.A.
Bryan W. Reed
Affiliation:
Lawrence Livermore National Laboratory, L-415, Livermore, CA 94551, U.S.A.
Mukul Kumar
Affiliation:
Lawrence Livermore National Laboratory, L-415, Livermore, CA 94551, U.S.A.
Roger W. Minich
Affiliation:
Lawrence Livermore National Laboratory, L-415, Livermore, CA 94551, U.S.A.
Robert E. Rudd
Affiliation:
Lawrence Livermore National Laboratory, L-415, Livermore, CA 94551, U.S.A.
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Abstract

The roughness scaling of fracture surfaces in two-dimensional grain boundary networks is stud- ied numerically. Grain boundary networks are created using a Metropolis method in order to mimic the triple junction distributions from experiments. Fracture surfaces through these grain boundary networks are predicted using a combinatorial optimization method of maximum flow — minimum cut type. We have preliminary results from system sizes up to N = 22500 grains suggesting that the roughness scaling of these surfaces follows a random elastic manifold scaling exponent ζ = 2/3. We propose a strong dependence between the energy needed to create a crack and the special boundary fraction. Also the special boundaries at the crack and elsewhere in the system can be tracked.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 819: Symposia N/P – Interfacial Engineering for Optimized Properties III , 2004 , N1.4
Copyright
Copyright © Materials Research Society 2004

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References

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