The role of polynomial yield criteria in accurate simulation of bending deformation in thin-walled steel structures

PurposeThis study aims to evaluate the accuracy of polynomial-based yield criteria [fourth-order and sixth-order polynomial-based anisotropic yield criteria (HomPol4 and HomPol6)] in predicting the behavior of thin-walled structures made of advanced high-strength steels (AHSS) (DP500 and DP800) under bending loads.Design/methodology/approachA comprehensive experimental program, including uniaxial tensile tests and three-point bending tests, was conducted to characterize the material's mechanical behavior. The obtained experimental data were used to calibrate the parameters of the polynomial yield criteria. Finite element simulations of the three-point bending tests were performed using the calibrated yield criteria.FindingsBoth HomPol4 and HomPol6 yield criteria that effectively captured the material's anisotropic behavior and accurately predicted the springback phenomenon. However, HomPol6, with its higher-order polynomial representation, exhibited superior performance, especially in capturing complex deformation patterns.Originality/valueThis study contributes to the advancement of material modeling techniques for AHSS, providing a robust approach for predicting the behavior of thin-walled structures under bending loads. To predict the springback behavior of the DP steels, the fourth-order and sixth-order homogeneous polynomial-based anisotropic yield criteria regarding both directionalities for anisotropic features of r values and yield stress ratios with high accuracy were implemented in this research.