AbstractMainly, two divisions are encountered in the literature regarding constitutive models: elasto‐plasticity and hypoplasticity. In addition, barodesy and the framework of generalized plasticity are used. The main disadvantage of nearly all models is the failure to reproduce the mechanical behaviour under cyclic loading without restrictions. A model which deals neither with the true hypoplastic nor the true elasto‐plastic approach will be proposed herein. Moreover, it combines and establishes the unification of both frameworks and it can be assigned to both of them. It introduces a so called historiotropic surface, responsible for the memory of the soil, but no consistency condition. It also introduces a hypoplastic strain rate, but incorporating the distance to the new surface for its intensity and the back stress tensor. Hence, both the intergranular strain as well as the fabric‐dilatancy tensor are omitted, even though the eight‐shaped stress hysteresis at cyclic mobility is well reproduced.