Comparison of Modified Mohr–Coulomb Model and Bai–Wierzbicki Model for Constructing 3D Ductile Fracture Envelope of AA6063

Abstract

Ductile fracture of metal often occurs in the plastic forming process of parts. The establishment of ductile fracture criterion can effectively guide the selection of process parameters and avoid ductile fracture of parts during machining. The 3D ductile fracture envelope of AA6063-T6 was developed to predict and prevent its fracture. Smooth round bar tension tests were performed to characterize the flow stress, and a series of experiments were conducted to characterize the ductile fracture firstly, such as notched round bar tension tests, compression tests and torsion tests. These tests cover a wide range of stress triaxiality (ST) and Lode parameter (LP) to calibrate the ductile fracture criterion. Plasticity modeling was performed, and the predicted results were compared with corresponding experimental data to verify the plasticity model after these experiments. Then the relationship between ductile fracture strain and ST with LP was constructed using the modified Mohr–Coulomb (MMC) model and Bai-Wierzbicki (BW) model to develop the 3D ductile fracture envelope. Finally, two ductile damage models were proposed based on the 3D fracture envelope of AA6063. Through the comparison of the two models, it was found that BW model had better fitting effect, and the sum of squares of residual error of BW model was 0.9901. The two models had relatively large errors in predicting the fracture strain of SRB tensile test and torsion test, but both of the predicting error of both two models were within the acceptable range of 15%. In the process of finite element simulation, the evolution process of ductile fracture can be well simulated by the two models. However, BW model can predict the location of fracture more accurately than MMC model.

A direct analytical methodology for the assessment of ductile fracture in metals based on multiaxial tests

“…Experimental tests characterized by different loading conditions allow to obtain points on the fracture space (T, X, ε f ) that are different from one another, which is mandatory for a sound calibration of damage models. In the present work, experimental tests widely used in the literature, 19,20,25,26 such as tensile test on round bar (RB) or notched bar (RNB) samples, torsion (Tors), tensile tests in plane strain condition (PS), and compression (Compr), were chosen to investigate the behavior of T, X, and ε p , numerically. In addition, another simple multiaxial test was selected, employing a less conventional specimens proposed by Driemeier et al, 27 through which it is possible analyze material ductility and fracture in the regime of low triaxiality.…”

Extension of Flow Behaviour and Damage Models for Cast Iron Alloys with Strain Rate Effect

“…It explains well most experimental observations and is relatively easy to calibrate. For the damage model, fracture is postulated to occur when the accumulated equivalent plastic strain reaches a critical value which is a function of the stress state (stress triaxiality and Lode parameter) [18,19]. This stress state dependent damage model was validated by Lee et al [20], Bai et al [21], Gilioli et al [22], Sandburg et al [23] and Habib et al [24] with experiments on different materials.…”