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A decomposition depended on directions for nonsingular linear transformation

โœ Scribed by Zhang Shenxue

Publisher
Springer
Year
1996
Tongue
English
Weight
265 KB
Volume
17
Category
Article
ISSN
0253-4827

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โœฆ Synopsis

11 this paper, we give a decomposition depending on p(I <~p<~n-2) orthonormal directions assigned.for nonsingular linear transformation F on a n-dimension (n>.. 3)

Euclidean space E,, and then prove that there exist q(q=n-p) quasi-principal directions.for F depending on the preceding p orthonormal directionsโ€ข As applicance of the preceding result, we derive that there exist at least two orthonormal principal directions of strain in arbitrary plane of body which is in homogeneous deformation, and strain energy density is .function of 5 real numbers under arbitrary quasi-principal base for the preceding nonsingular linear transformationโ€ข

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