THE DESCRIPTION OF DEVIATORIC STRESS IN THE πPLANE OF PRINCIPAL STRESS SPACE: A COORDINATE TRANSFORMATION METHOD

Xiufeng Wang, Yingtao Zhao

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The description of deviatoric stress in the π plane of principal stress space is an important teaching content of \elasticity and plasticity", which is the theoretic foundation of the follow-up courses (e.g., yield criterion, plastic constitutive relation, etc.). The contents in current related textbooks tend to confuse the readers. In order to solve this problem, we present a coordinate transformation method, so as to obtain the relationship between components of stress in principal stress space and deviatoric stress in π plane. Our approach gives a simple and clear mathematical idea, and could be adopted in textbook for “elasticity and plasticity” in future.

Original languageEnglish
Pages (from-to)171-174
Number of pages4
JournalMechanics in Engineering
Volume44
Issue number1
DOIs
Publication statusPublished - 8 Feb 2022

Keywords

  • Coordinate transformation
  • Deviatoric stress
  • The principal stress space
  • π plane

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