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Scaling Theory of Elasticity and Fracture in Disordered Networks

Published online by Cambridge University Press:  21 February 2011

P. M. Duxbury  and
S. G. Kim
P. M. Duxbury
Affiliation:
Dept. of Physics and Astronomy and Center for Fundamental Materials Research, Michigan State University.
S. G. Kim
Affiliation:
Dept. of Physics and Astronomy and Center for Fundamental Materials Research, Michigan State University.
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Abstract

We discuss scaling theories for the elasticity and tensile fracture of random central force spring networks with bond dilution disorder. Effective medium theory works quite well for elasticity but needs very new ingredients to be even qualitatively correct for tensile fracture. A novel “extreme scaling theory” predicts a dilute limit singularity and a size effect in the tensile strength. These predictions are supported by numerical simulations.

We extend the above arguments to networks with distributions of bond disorder, and compare the central force network theories to models currently used in the study of rigid cellular materials.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 207: Symposium I – Mechanical Properties of Porous and Cellular Materials , 1990 , 179
Copyright
Copyright © Materials Research Society 1991

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