HASHIN-SHTRIKMAN BOUNDS ON THE EFFECTIVE ELASTIC-MODULI OF POLYCRYSTALS WITH ORTHORHOMBIC SYMMETRY

被引:182
作者
WATT, JP [1 ]
机构
[1] UNIV COLORADO,COOPERAT INST RES ENVIRONM SCI,NOAA,BOULDER,CO 80309
关键词
D O I
10.1063/1.325768
中图分类号
O59 [应用物理学];
学科分类号
摘要
Bounds on the effective elastic moduli of randomly oriented aggregates of orthorhombic crystals have been derived using the variational principles of Hashin and Shtrikman. The bounds are considerably narrower than the widely used Voigt bound and Reuss bound. In many instances, the separation between the new bounds is comparable to, or less than, the uncertainty introduced by experimental errors in the single-crystal elastic stiffnesses. The Voigt-Reuss-Hill average lies within the Hashin-Shtrikman bounds. several percent.
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页码:6290 / 6295
页数:6
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