Premium
Further Results on Generating Sets for Isotropic and Anisotropic Functions of Vectors and 2nd‐Order Tensors
Author(s) -
Xiao H.
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(200007)80:7<497::aid-zamm497>3.0.co;2-e
Subject(s) - isotropy , anisotropy , tensor (intrinsic definition) , symmetry (geometry) , order (exchange) , mathematics , work (physics) , symmetric tensor , pure mathematics , tensor field , mathematical analysis , physics , geometry , exact solutions in general relativity , quantum mechanics , finance , economics
It has been proved in a previous work that irreducible generating sets for arbitrary‐order tensor‐valued isotropic or anisotropic functions of any finite number of vector and 2nd order tensor variables may be formed by a union of those for seven types of isotropic or anisotropic functions of three variables. Here we show that, for many kinds of material symmetry groups, some and even all of the latter may further be reduced to cases of two variables and even single variables.