A recursion formula for the integer power of a symmetric second-order tensor and its application to computational plasticity

Authors

  • Reijo Kouhia Tampere University
  • Timo Saksala Tampere University
DOI: https://doi.org/10.23998/rm.137537

Keywords:

second order tensor, recursion formula, Cayley-Hamilton equation, Rankine failure criterion

Abstract

In this paper, a recursion formula is given for the integer power of a second-order tensor in 3D Euclidean space. It can be used in constitutive modelling for approximating failure or yield surfaces with corners, and it is  demonstrated for the case of Rankine failure criterion. Removing corners provides clear advantages in computational plasticity. We discuss the consequences of the approximation errors for failure analyses of brittle and quasi-brittle
materials.

Issue
Vol. 56 No. 4 (2023)
Section
Djebar Baroudi and Jari Laukkanen In Memoriam

Published

2023-12-29

How to Cite

Kouhia, R., & Saksala, T. (2023). A recursion formula for the integer power of a symmetric second-order tensor and its application to computational plasticity. Journal of Structural Mechanics, 56(4), 127–135. https://doi.org/10.23998/rm.137537

Copyright (c) 2023 Reijo Kouhia, Timo Saksala

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.