Effective methods of parameter identification for creep models with account of III stage

Abstract

Abstract. The account of tertiary (third) stage of creep is important for the failure analysis of structures. The correct description of third stage of creep is based on taking into account of damage accumulation process. An identification of the parameters of coupled creep-damage model leads to the optimization problem of finding the global minimum of a functional, having a complex, non-linear structure and a large number of local minimums. The Nelder-Mead method is applied to the solution to the multiparameter identification problem. The effectiveness and robustness of the applied approach are illustrated on examples of mechanical and civil engineering.

A Nonlinear Fractional Viscoelastic-Plastic Creep Model of Asphalt Mixture

“…Moreover, different deformation mechanisms exist in the entire creep process of HMA under different stress levels [ 11 ]. In the creep process at a lower stress level, the mixture is gradually compacted, resulting in a “consolidation effect”.…”

“…Abu Al-Rub et al adopted Kachanov’s nondestructive collocation method and used the constitutive model of nondestructive materials to construct a model of damaged materials through the so-called effective stress, and carried out finite element simulation [ 17 ]. Grishchenko described the tertiary creep stage of an asphalt mixture with the Kachanov–Rabotnov creep damage model [ 11 ]. Zhang et al considered the competitive mechanism of the strain hardening effect and damage softening effect and proposed an elastic-viscoplastic damage mechanics model to describe the permanent deformation of asphalt mixtures [ 18 ].…”