Validating cyclic plasticity material model for three materials subjected to asynchronous axial-torsion conditions

•A cyclic plasticity model is proposed for predicting multiaxial asynchronous response.•The synchronous evolution of Tanaka non-proportionality parameter and memory stress is utilized in this study.•The proposed model resulted in reasonable assessment of asynchronous stress–strain response for three materials.•The proposed model has demonstrated its robustness in simulating multiaxial asynchronous responses for various frequency ratios.