Study on non-associated plasticity with various forward Euler stress integration algorithms and its prediction of earing in cylindrical cup drawing

•Anisotropic yield criteria, such as Hill's 48, Yld2000-2d as well as Drucker are implemented under non-associated flow rule.•Three forward Euler stress integration algorithms, i.e. tangent cutting plane explicit method (TCPE), semi explicit method (SEMIE) and simple explicit method (SIMPE) are implemented into user subroutines of ABAQUS/Explicit.•Constitutive model for Yld2000-2d under non-associated plasticity using TCPE and SEMIE stress integration algorithms is the most accurate.•Constitutive model for Drucker using 3D solid elements under non-associated plasticity is the most efficient.