Effects of nonsphericity during superstrong compression of a single bubble situated far from external boundaries of a liquid, during bubble interaction, and during strong compression of bubbles in the vicinity of the body surface are considered. In implementation of superstrong compression of a single bubble, small initial nonsphericity of its shape can result in large deformations of the bubble at the end of its compression and in even larger deformations of radially convergent shock waves in the bubble. During bubble interaction, development of nonsphericity of the shape of bubbles can lead to their failure. Strong compression of bubbles in the vicinity of the surface of a rigid body can cause formation of cumulative jets on the bubble surface. These jets have large damaging effect. The impact of such jets on the body surface results in its cavitation erosion. Maximum failure arises in the least studied regime of shock impact of a cavitation bubble on the body surface when shock waves arise in the liquid and the body.
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