A rational approach for modelling the mechanical behavioural of materials exhibiting symmetry relations. (English) Zbl 1377.74004

Summary: 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.


74A20 Theory of constitutive functions in solid mechanics
74A15 Thermodynamics in solid mechanics
22E70 Applications of Lie groups to the sciences; explicit representations