Advanced Search

Journal Navigation

Journal Home

Subscriptions

Archive

Contact Us

Table of Contents

CiteULike is a free service for managing and discovering scholarly references - click here to get started.

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 Web of Science (4)
Right arrow Citing Articles via Google Scholar
Right arrow Citing Articles via Scopus
Google Scholar
Right arrow Articles by Chen, Y.-C.
Right arrow Articles by Dui, G.
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?

The Derivative of Isotropic Tensor Functions, Elastic Moduli and Stress Rate: I. Eigenvalue Formulation

Yi-Chao Chen

Department of Mechanical Engineering, University of Houston, Houston, Texas 77204, USA

Guansuo Dui

Department of Mechanical Engineering, University of Houston, Houston, Texas 77204, USA; Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, P R. China

We derive basis-free formulae for the derivative of general isotropic tensor functions of symmetric tensors, and the formulae for elastic moduli and stress rate for compressible isotropic elastic materials. Part I of this paper concerns the tensor functions with the representation of spectral decomposition. The solution is obtained through the directional derivatives on certain subspaces that span the set of symmetric tensors.

Key Words: Isotropic tensor fictions • elastic moduli • stress rate

Mathematics and Mechanics of Solids, Vol. 9, No. 5, 493-511 (2004)
DOI: 10.1177/1081286504038672
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?