Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

Sign In to gain access to subscriptions and/or personal tools.
Mathematics and Mechanics of Solids
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to Saved Citations
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow Request Reprints
Right arrow Add to My Marked Citations
Citing Articles
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Zou, W. -N.
Right arrow Articles by Rychlewski, J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Complore   Add to Connotea   Add to Del.icio.us   Add to Digg   Add to Reddit   Add to Technorati   Add to Twitter  
What's this?

Orthogonal Irreducible Decompositions of Tensors of High Orders

W. -N. Zou

Department of Engineering Mechanics, Tsinghua University, Beying 100084, China

Q. -S. Zheng

Department of Engineering Mechanics, Tsinghua University, Beying 100084, China; Fax: +86 10 6277 1112.zhengqs{at}tsinghua.edu.cn

D. -X. Du

Department of Engineering Mechanics, Tsinghua University, Beying 100084, China

J. Rychlewski

Institute of Fundamental Technological Research, Polish Academy of Sciences, 00-049 Warsaw, Poland

It is known from the theory of group representations that, in principle, a tensor of any finite order can be decomposed into a sum of irreducible tensors. This paper develops a simple and effective recursive method to realize such decompositions in both two-and three-dimensional spaces. Particularly, such derived decompositions have mutually orthogonal base elements. Quite a few application examples are given for generic and various physical tensors of orders up to six.

Key Words: irreducible decomposition • deviatoric tensors • high-order tensors • recursive formulae

Mathematics and Mechanics of Solids, Vol. 6, No. 3, 249-267 (2001)
DOI: 10.1177/108128650100600303
Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati   Add to Twitter Twitter    What's this?