A GENERAL-METHOD FOR TENSOR AVERAGING AND AN APPLICATION TO POLYCRYSTALLINE MATERIALS

Authors
GRIESHABER W BELORIZKY E LEBERRE M
Citation
W. Grieshaber et al., A GENERAL-METHOD FOR TENSOR AVERAGING AND AN APPLICATION TO POLYCRYSTALLINE MATERIALS, Solid state communications, 93(10), 1995, pp. 805-809
Citations number
9
Categorie Soggetti
Physics, Condensed Matter
Journal title
Solid state communications → ACNP
ISSN journal
00381098
Volume
93
Issue
10
Year of publication
1995
Pages
805 - 809
Database
ISI
SICI code
0038-1098(1995)93:10<805:AGFTAA>2.0.ZU;2-W
Abstract
A general method is presented for determining the average tensorial co mponents of a physical quantity for a polycrystalline sample with rand om crystallite orientation, when this tenser is known for a monocrysta l. The technique, bused on the determination of the rotationally invar iant pan of the tenser, is very convenient and provides analytical res ults. Explicit expressions are given for symmetrical 4(th) rank and 8( th) rank tensors and are applied to calculate piezoresistive effects i n polycrystalline silicon.