The simulation of deformations on volumetric representations of heterogeneous structures has been little addressed in the litterature. It is however an important question with a wide range of applications, specially in fields such as Computer Assisted Medical Diagnosis and Care applications where the deformation of anatomical structures as a consequence of a pathology or of a trauma often need to be simulated. In this paper, the deformation of heterogeneous volume data sets is analyzed. A general method is proposed, enabling the simultaneous deformation of both the interior and the shape of various imbricated structures. The method supports different deformation models according to the particular hypothesis of each structure elastic behavior. Along with a discussion of the proposed strategy some simulation examples are presented.