This paper analyses the influence of heterogeneities introduced into the constitutive model of Aluminium alloy 6060. Two types of modelling are hereby presented: a standard phenomenological homogeneous model and a compartmentalized hybrid model, the formulation of which is based on the physical phenomena underlying plasticity. The mechanical parameters needed to establish such models are determined by two different experimental tests: a uniaxial tensile test and a ring compression test. The ability of such models to simulate a forming operation that differs from the operation used to determine their parameters will then be discussed.