Journal of Geometry and Symmetry in Physics

A Rational Approach for Modelling the Mechanical Behaviour of Materials Exhibiting Symmetry Relations

Vincent Magnenet, Rachid Rahouadj, and Jean-Francois Ganghoffer

Full-text: Open access

Abstract

A novel and rational approach based on Lie analysis is proposed to investigate the mechanical behaviour of materials exhibiting experimental master curves. This approach provides a priori two ways of formulating constitutive laws from data as well as the possibility of predicting new master curves and material charts. The first part of the paper is devoted to the presentation of the algorithm. Afterwards, the strategy is applied to the uniaxial creep and rupture behaviour of a Chrome-Molybdene alloy at different temperatures and stress levels.

Article information

Source
J. Geom. Symmetry Phys., Volume 23 (2011), 29-57.

Dates
First available in Project Euclid: 25 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495677659

Digital Object Identifier
doi:10.7546/jgsp-23-2011-29-57

Mathematical Reviews number (MathSciNet)
MR2827539

Zentralblatt MATH identifier
1377.74004

Citation

Magnenet, Vincent; Rahouadj, Rachid; Ganghoffer, Jean-Francois. A Rational Approach for Modelling the Mechanical Behaviour of Materials Exhibiting Symmetry Relations. J. Geom. Symmetry Phys. 23 (2011), 29--57. doi:10.7546/jgsp-23-2011-29-57. https://projecteuclid.org/euclid.jgsp/1495677659


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