Elastic and transport properties in polycrystals of crackedgrains: Cross-property relations and microstructure Page: 1 of 24
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Submitted to : International Journal of Engineering Science
LBNL- October 2, 2007
Elastic and Transport Properties in Polycrystals of Cracked
Grains: Cross-Property Relations and Microstructure
James G. Berrymanl *
'University of California, Lawrence Berkeley National Laboratory,
1 Cyclotron Road MS 90R1116, Berkeley, CA 94740, USA
Some arguments of Bristow (1960) concerning the effects of cracks on elastic and transport (i.e.,
electrical or thermal conduction) properties of cold-worked metals are reexamined. The discussion
is posed in terms of a modern understanding of bounds and estimates for physical properties
of polycrystals in contrast to Bristow's approach using simple mixture theory. One type of
specialized result emphasized here is the cross-property estimates and bounds that can be obtained
using the methods presented. Our results ultimately agree with those of Bristow, i.e., confirming
that microcracking is not likely to be the main cause of the observed elastic behavior of cold-worked
metals. However, it also becomes clear that the mixture theory approach to the analysis is too
simple and that crack-crack interactions are necessary for proper quantitative study of Bristow's
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Berryman, J.G. Elastic and transport properties in polycrystals of crackedgrains: Cross-property relations and microstructure, article, October 2, 2007; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc900887/m1/1/: accessed January 19, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.