The article reports the application of the mathematical theory of hysteresis to soil dynamics to characterise its behaviour under the action of cyclic loads. Based on appropriate laboratory experiments for a given soil, the achieved values were verified in simulations. The cycle shapes of stress–strain shear response for all strain levels and different combinations of static and cyclic shear stress loading were replicated. For proper characterisation in the case of repeated loads, the model incorporates the phenomenon of degradation of the structure and generation of excess pore pressure in considering its continuous variation throughout the loading process using an energy approach. The model is defined by parameters with physical interpretations that are evident from the tests.
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