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A strong anisotropy of interatomic interaction in pure uranium makes possible a variety of feasible structure transformations in this metal. With classical atomistic simulation we consider several unusual aspects of such transformations occurring in pure uranium and U-Mo alloys. A special focus is put on alpha-gamma and gamma0-gamma transitions, which are discussed in details taking into account their similarity. Regarding the question of gamma-phase stabilization, we discuss the quasi-bcc structure of this phase and Elinvar effect seen from calculations of elastic moduli in gamma-U-Mo alloys.