Evaluation of constitutive modeling for dynamic Plastic-Fracture modeling of Dual Phase (DP590) steel sheets

Abstract

This study investigates the dynamic plastic-fracture behavior of Dual Phase (DP590) steel sheets using various constitutive models. To highlight the significance of calibration procedures, three tension tests—uniaxial, notched, and plane strain tensions—are performed based on stress state analysis. Initially, the Johnson-Cook model is calibrated using a hybrid method. Additionally, phenomenological rate-dependent fracture criteria, including Ayada, normalized Cockroft-Latham, Brozzo, and Rice-Tracey are proposed to characterize both quasi-static and dynamic mechanical behavior. Fracture envelopes are developed for each model based on these tests. The calibrated criteria are implemented into the finite element (FE) code Abaqus/Explicit via user subroutines, and numerical simulations are conducted to evaluate the models' accuracy beyond calibration conditions. Results demonstrate that the choice of calibration test significantly influences the damage value, accuracy of rate-dependent models, and fracture envelope. The notched and uniaxial tension tests emerge as the most effective calibration methods, providing predictions with minimal error. Notched tension is particularly reliable, with the Rice-Tracey model showing an error rate of approximately 2.72 %, followed by the Brozzo criterion at 4.38 %. Uniaxial tension slightly increases the error rate, with Ayada and Brozzo models predicting fracture strains with errors between 5 and 7 %. In contrast, the normalized Cockroft-Latham model shows significant errors at higher stress triaxialities, making it less suitable for precise fracture predictions. Plane strain tension is found to be an inappropriate calibration choice for the proposed simple rate-dependent models. In conclusion, the study recommends the Rice-Tracey model calibrated with notched tension tests for reliable dynamic fracture predictions with minimal testing. If only uniaxial tension tests are available, the Rice-Tracey and Brozzo models are suggested. This approach provides valuable insights for accurately predicting the dynamic fracture behavior of DP590 steel, emphasizing the importance of selecting appropriate calibration methods.