Abstract
This chapter discusses spherical waves and cylindrical waves.. They are similar not only in their mathematical description, but also in their character of wave propagation.The discussion covers the topics on elastic waves,elasto-plastic waves, and elasto-visco-plastic waves. Besides, an example of rigid-plastic analysis is presented. The front of spherical and cylindrical waves disperses during propagation. Even in an elastic situation, their wave profile keeps changing.In the propagation of a compressive wave, tensile stress and amplitude oscillation can be formed in the region behind the wave front. Due to the many similar characteristics between a spherical wave and a cylindrical wave, they can be analyzed together. The chapter studies the propagation of a spherical wave. It explains the continuity equation and motion equation. Later, it is pointed out that the analyses on a cylindrical wave can be obtained following the same way. The chapter also presents a brief and approximate analysis for the fragmentation of spherical shells.
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