Parameter Identification of Chaboche Model for Aluminum Alloy Sheets Based on Differential Evolution Algorithm

Abstract

Springback prediction is one of the most challenging in finite element analysis for sheet metal forming processes. The demand requests the development of a kinematic hardening model and parameter identification. This study presents a schematic strategy to identify parameters of Chaboche’s kinematic hardening model based on a differential evolution optimization method. To this goal, several tension-compression (TC) tests were conducted to observe the Bauchinger’s effects and kinematic hardening behaviors of two aluminum alloy sheets: AA6022-T6 and AA7075-T76. A Python code is developed to apply the proposed method in identifying parameters of the kinematic hardening model. The calibrated material models were implemented in Abaqus software to simulate V-bending and U-bending tests for the investigated materials. The predictions for springback amount match well with the experimental measurements, which verifies the effectiveness of the presented identificationstrategy.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.

Investigation of Chaboche and Bouc–Wen Parameters of Quenched and Tempered Steel and Comparison of Model Predictive Capabilities

“…By substituting Equation (33) in Equation (32), Equation ( 36) can be obtained. σ Y is the experimental input found by exploiting Equations ( 34) and (35); therefore, the values of Q and b were obtained through a least-squares fit of Equation (36).…”

“…[28,29] both uniaxial stress-controlled tests and strain-controlled tests were exploited. The algorithms used to calculate these parameters can follow different approaches, such as genetic algorithms, as in [30,31], particle swarm optimization in [32], and the differential evolution algorithm in [33]. All of these techniques require a great computational effort.…”