Elastic and transport properties in polycrystals of crackedgrains: Cross-property relations and microstructure

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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 ... continued below

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Berryman, J.G. October 2, 2007.

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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 problem.

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  • Journal Name: International Journal of Engineering Science; Journal Volume: 46; Journal Issue: 6; Related Information: Journal Publication Date: 2008

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  • Report No.: LBNL--63502
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 929495
  • Archival Resource Key: ark:/67531/metadc900887

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  • October 2, 2007

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  • Sept. 27, 2016, 1:39 a.m.

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  • Oct. 31, 2016, 3:50 p.m.

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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/: accessed December 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.