Strain-path changes require models that distort and shift the yield surface. In the current work a model is proposed that combines distortions and kinematic hardening using primarily one back-stress tensor. Add-on models are applied for orthogonal expansion of the yield surface and for achieving permanent softening. The model is formulated in two variants, as a homogeneous model of order one and as non-homogeneous and allows the origin to be outside the yield surface. The models are constructed so that the gradient of the conventional yield surface is reached during proportional loading. Also, r-values are not altered after a revers loading. The models are calibrated match earlier reported strain path change experiments on commercial pure aluminum [1] and on dual phase steel [2]. It is demonstrated that the non-homogenous yield-surface formulation variant can be used to fit an example of an inner yield surface, earlier measured by a small probing strain. REFERENCES [1] Manik, T., Holmedal, B., Hopperstad, O.S., Strain-path change induced transients in flow stress, work hardening and r-values in aluminum, Int J Plasticity Vol. 69, pp. 1-20, 2015 [2] Hérault, D., Thuillier, S., Lee, S.Y., Manach, P.Y., Barlat, F., Calibration of a strain path change model for a dual phase steel, Int J Mech Sci vol. 194, 1067217, 2021