The determination of the elastic wave propagation velocity using ultrasonic methods for a calculation of the elastic constants imposes constraints on the geometry of bodies. The paper studies the compressional wave propagation in an aluminum cylinder after a collision with a rigid wall and in cylinders made of anisotropic single-crystal zinc with different crystallographic orientation of a single crystal relative to the cylinder axis of symmetry. The initial energy separation from the repulsion energy of cylinders, secondary repulsion energy of cylinder parts from the rigid wall, and elastic strain energy of repulsed cylinders made of isotropic and anisotropic materials are described for single-crystal zinc. The different geometry boundaries are found for the bodies to study the elastic wave propagation with a view to identify the elastic constants.