PROPAGATION OF SPHERICAL PLASTIC-ELASTIC DISTURBANCES FROM AN EXPANDED CAVITY

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Abstract
An infinite medium of elastic-perfectly plastic material contains a single spherical cavity and is initially subject to a uniform hydrostatic pressure. By the quasi-static application of an additional uniform pressure to the wall of the cavity, the medium is then placed in an expanded state in which the cavity is surrounded by a zone within which plastic flow has occurred. A detailed study of this expanded state has been made in an earlier paper (1) in the case of a homogeneous, isotropic material which obeys the generalized Hooke's law when undergoing elastic deformation and Coulomb's law of failure with its associated flow rule during plastic deformation. The present paper is concerned with the propagation of stress waves through the medium by the application of an additional uniform, time-dependent pressure a(t) to the face of the expanded cavity, the additional straining produced by this pulse being assumed to be universally small.

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