Abstract
Abstract— The paper deals with the analytical representation of the cyclic stressstrain curve, the hysteresis loop and the hysteresis energy for a single‐phase α‐brass. The one‐ and two‐parameter elastic‐plastic models that were used were so chosen as to produce compatible representation of both the stress‐strain relationship and the hysteresis loop. The models were checked with experimental data. The specimens were tested in uniaxial tension‐compression (Rε=−1) under total strain amplitude control. The experiments covered a broad spectrum of lives from the low‐cycle region through to the high‐cycle regime, i.e. up to lives of N= 1 × 106 cycles. The adopted measurement method enabled the cyclic deformation curve, hysteresis loop and hysteresis energy to be determined independently. It was shown that the modifed Ramberg‐Osgood model is a good approximation to actual cyclic behaviour of α‐brass.

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