An inverse strategy for identifying the mechanical parameters of an asymmetric hysteretic constitutive model

Abstract

An inverse strategy is developed for identifying the parameters of a recent phenomenological constitutive model (Vaiana et al., 2021) that simulates asymmetric hysteresis loops. The model, based on a limited set of parameters, permits the definition of either stress–strain or load–displacement asymmetric relationships by closed-form expressions that do not require any iterative algorithm for the computation of the non-linear response. The identification strategy consists in a combination of optimization procedures aiming to minimize least-square residuals defined in terms of response amplitude, stiffness and limit curves of the hysteretic cycle. The robustness and effectiveness of the proposed identification strategy has been proved by identifying the mechanical parameters of three experimental responses.