Abstract
A new approach to modelling the complex behaviour of magnesium AZ31 alloy subjected to arbitrary uniaxial cyclic loading is introduced. Based on the Prandtl-Ishlinskii rheological model, one side play operators are applied so as to simulate the ascending and descending parts of asymmetric hysteresis loops separately. From the known material response to constant amplitude uniaxial loading, the Prandtl-Ishlinskii rheological model gives a fast and accurate simulation of the magnesium AZ31 alloy sheets response to arbitrary uniaxial loading under isothermal conditions. The approach represents a valuable starting point for estimating fatigue life using the energy approach for magnesium alloys.
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