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Minimal Generating Sets for Symmetric 2nd‐Order Tensor‐Valued Transversely Isotropic Functions of Vectors and 2nd‐Order Tensors
Author(s) -
Xiao H.,
Bruhns O.T.,
Meyers A.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200008)80:8<565::aid-zamm565>3.0.co;2-q
Subject(s) - order (exchange) , transverse isotropy , tensor (intrinsic definition) , mathematics , isotropy , pure mathematics , symmetric tensor , mathematical analysis , physics , exact solutions in general relativity , finance , quantum mechanics , economics
In a broad sense we introduce the notion of minimality for generating sets and supply a convenient criterion for minimal generating sets. By means of this criterion, minimal generating sets for five types of symmetric 2nd‐order tensor‐valued transversely isotropic functions of vectors and 2nd‐order tensors are presented for the first time.