IRREDUCIBLE INVARIANTS OF A TENSOR OF RANK-4

被引：17

作者：

BETTEN, J

HELISCH, W

机构：

[1] Lehr‐ und Forschungsgebiet Mathematische Modelle in der Werkstoffkunde, RWTH Aachen, Aachen

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 1992年 / 72卷 / 01期

关键词：

D O I：

10.1002/zamm.19920720108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Following Hilbert's theorem each tensor possesses a basis of integrity, i.e. a bounded number of invariants such that an arbitrary invariant can be represented as a polynomial function of the elements of this basis of integrity. Contrary to the case of tensors of rank two such a basis of integrity for tensors of rank our up to now is unknown. As preliminary stage for the determination of such a basis in the present paper systems of irreducible invariants for tensors of rank four are represented in two- and three-dimensional euclidean spaces.

引用

页码：45 / 57

页数：13