Polymer bonded explosives are particulate composites containing elastic particles in a viscoelastic binder. The particles occupy an extremely high fraction of the volume,often greater than 85%. Under low strain rate loading and at about room temperature,the elastic modulus of the particles can be four order of magnitude higher than that of the binder. These two characteristics make effective elastic properties predict more difficultly. As a result,PBXs provide unique challenges for micromechanical modeling. Some micromechanical-based methods for the determination of mechanical properties of PBX were introduced,the advantages/disadvantages and the prospects of these methods were reviewed briefly. Three-dimensional models with damage,using computed tomography images and simulating manufacturing process are suggested to be the key point of future work.