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

Autor/innen

  • Reijo Kouhia Tampere University
  • Timo Saksala Tampere University

Schlagworte:

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.

Rubrik
Djebar Baroudin ja Jari Laukkasen muistonumero

Veröffentlicht

2023-12-29

Zitationsvorschlag

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