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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1103/physre...
Article . 1989 . Peer-reviewed
License: APS Licenses for Journal Article Re-use
Data sources: Crossref
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Effective-medium theory for the fracture of fractal porous media

Authors: , Cook;

Effective-medium theory for the fracture of fractal porous media

Abstract

A general energy-balance theory is developed for the fracture of fractal porous media using an effective-medium approximation to couple the fracture resistance to the (fractal) mass distribution. The decreasing resistance field derived increases the size and rate of size increase of flaws under the influence of localized loading. A general destabilizing field associated with a uniform applied stress is presented and used to examine the strength behavior: Strength is predicted to scale with the dominant flaw size according to ${\ensuremath{\sigma}}_{0}\ensuremath{\sim}{c}_{0}^{\frac{(D\ensuremath{-}3\ensuremath{-}a)}{2}}$, where $D$ is the fractal dimension of the medium (3), and $a$ is an exponent characterizing the variation of the destabilizing field with crack length (g1). Hence, for a given distribution of flaw sizes, a porous fractal medium will exhibit lower, more variable strengths than a homogeneous medium.

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Top 10%
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