Spectral Classification of Non-Coaxiality for Two-Dimensional Incremental Stress-Strain Response
Joint Authors
Huang, Maosong
Qian, Jiangu
Bardet, Jean-Pierre
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-02-21
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The present study examines the non-coaxial aspects of incremental material behavior, and attempts to classify the incremental non-coaxiality that relates stress and strain increments.
In the solid mechanics literature, non-coaxiality (NC) refers usually to incremental strains and stress states having different principal directions.
Departing from conventional non-coaxiality, the analysis investigates the incremental non-coaxiality (INC) of linearized rate-type solids.
This study uses the concept of deviatoric second-order work for examining the relations between stability and incremental non-coaxiality.
Based on a spectral analysis of the constitutive compliance matrix, it proposes three classifications for distinguishing various degrees of incremental non-coaxiality and stability.
These classifications determine the conditions for the existence of incremental coaxiality (i.e., colinearity of stress and strain increments), stability, instability, and stable-instable transition (i.e., positive, negative, or zero second-order deviatoric work).
The study illustrates these classifications in the cases of generic elastic and elastoplastic constitutive models.
The analysis pertains to two-dimensional cases.
Additional research is required to extend the analysis from two to three dimensions.
American Psychological Association (APA)
Qian, Jiangu& Bardet, Jean-Pierre& Huang, Maosong. 2011. Spectral Classification of Non-Coaxiality for Two-Dimensional Incremental Stress-Strain Response. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-511829
Modern Language Association (MLA)
Qian, Jiangu…[et al.]. Spectral Classification of Non-Coaxiality for Two-Dimensional Incremental Stress-Strain Response. Mathematical Problems in Engineering No. 2010 (2010), pp.1-20.
https://search.emarefa.net/detail/BIM-511829
American Medical Association (AMA)
Qian, Jiangu& Bardet, Jean-Pierre& Huang, Maosong. Spectral Classification of Non-Coaxiality for Two-Dimensional Incremental Stress-Strain Response. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-511829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511829