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

Reijo Kouhia; Timo Saksala

doi:10.23998/rm.137537

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

Reijo Kouhia, Timo Saksala

Civil Engineering

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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.

Original language	English
Journal	Rakenteiden mekaniikka
Volume	56
Issue number	4
DOIs	https://doi.org/10.23998/rm.137537
Publication status	Published - 29 Dec 2023
Publication type	A1 Journal article-refereed

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10.23998/rm.137537Licence: CC BY

RakMek_56_3_2023_1Final published version, 1.07 MBLicence: CC BY

https://urn.fi/URN:NBN:fi:tuni-202401101318Licence: CC BY

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

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